480961776995640611699483
480,961,776,995,640,611,699,483 is an odd composite number composed of five prime numbers multiplied together.
What does the number 480961776995640611699483 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1536 divisors.
480961776995640611699483 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 480961776995640611699483:
73 × 133 × 193 × 413 × 675
(7 × 7 × 7 × 13 × 13 × 13 × 19 × 19 × 19 × 41 × 41 × 41 × 67 × 67 × 67 × 67 × 67)See below for interesting mathematical facts about the number 480961776995640611699483 from the Numbermatics database.
Names of 480961776995640611699483
- Cardinal: 480961776995640611699483 can be written as Four hundred eighty sextillion, nine hundred sixty-one quintillion, seven hundred seventy-six quadrillion, nine hundred ninety-five trillion, six hundred forty billion, six hundred eleven million, six hundred ninety-nine thousand, four hundred eighty-three.
Scientific notation
- Scientific notation: 4.80961776995640611699483 × 1023
Factors of 480961776995640611699483
Divisors of 480961776995640611699483
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 7 13 19 41 49 67 91 133 169 247 287 343 361 469 533 637 779 871 931 1183 1273 1681 1729 2009 2197 2527 2747 3211 3283 3731 4459 4489 4693 5453 6097 6517 6859 6929 8281 8911 10127 11323 11767 12103 14063 14801 15379 16549 17689 19229 21853 22477 22981 24187 26117 31423 31939 32851 35711 38171 41743 42679 48013 48503 52193 57967 58357 61009 62377 68921 70889 79261 82369 84721 85291 89167 90077 103607 107653 112627 115843 123823 131651 134603 147199 152971 157339 169309 182819 184049 192413 215137 219961 223573 229957 249977 267197 281219 284089 292201 298753 300763 314431 336091 339521 365351 408499 415207 427063 436639 459553 464243 482447 496223 554827 576583 597037 606841 624169 630539 678509 725249 753571 758641 788389 793117 810901 895973 921557 942221 991667 1030393 1070797 1101373 1108783 1159171 1185163 1288343 1309499 1346891 1464151 1505959 1539727 1565011 1609699 1620529 1711463 1749839 1968533 1988623 2045407 2105341 2139913 2201017 2352637 2376647 2392637 2501369 2557457 2796781 2859493 2906449 2989441 3216871 3249701 3377129 3473561 3496931 3655847 3693157 3883789 3909919 4087603 4179259 4247887 4369183 4413773 4617707 4749563 5076743 5310487 5397691 5518723 5551819 5676307 5714497 5974189 6035159 6271811 6450899 6941669 7212751 7495579 7546009 7761481 7888933 8114197 8296141 8820617 9018401 9166493 9428237 9862333 10249057 10541713 10955077 11343703 11529979 11647649 11980241 12248873 12331283 12891671 13779731 13920361 14317849 14414179 14737387 14979391 15069223 15407119 16748459 17023487 17509583 17902199 18841673 19033963 19577467 20016451 20151121 20345143 20926087 21066877 22518097 22747907 23639903 24478517 24880481 25590929 25852099 27369433 27818869 28613221 29254813 29735209 30584281 30790051 30896411 31104281 32323949 32517797 33246941 37173409 37783837 38631061 38862733 40001479 40658347 41819323 42246113 43902677 45156293 45460103 47526011 48591683 50489257 50828947 52822063 53138839 54330367 55222531 56799379 60030191 61744319 63128807 64165451 65997659 66441689 69036331 70169983 71743399 73791991 74288461 77664457 79405921 80709853 81533543 83861687 86318981 87736433 90241697 96458117 97442527 98098117 100899253 102556129 103161709 104855737 105484561 107849833 108575443 114668021 117239213 119164409 122567081 131891711 133237741 137042269 141057847 142416001 143374171 147468139 149889727 151419437 157626679 159235349 160306679 167591723 171349619 174163367 179136503 180964693 187384327 191586031 194732083 200292547 208146463 215530357 217729967 221305331 226267643 227624579 232728587 234294377 244941749 247441519 260213863 261964573 264486859 272039131 273869401 280010353 284608429 292735261 295722791 307318739 309386369 318220721 323446253 332682077 340141781 355802629 361645297 369754441 371971873 380312569 382871299 386557717 397595653 400270663 404355653 420211337 432210233 449158157 465091823 472729139 483254317 491189881 502203793 505582603 520019227 528558511 543651199 555841447 564968971 570734801 587031809 590981339 604232867 614155031 617838143 631691879 660776311 686686819 706294771 717892903 733990159 738391927 760028101 772508593 780392483 802676147 820674491 826195961 834150863 857969567 863741957 923241977 932664187 959295883 965749993 987404929 1003619197 1009637941 1032276973 1049228089 1059936059 1122146753 1140573629 1173142061 1199447333 1219143569 1253955521 1262392091 1266752851 1275275521 1311690289 1333229677 1341102217 1350125107 1363124581 1402047829 1411480759 1508712499 1524109769 1549137317 1583873501 1593372053 1640060639 1666992227 1714592243 1732090633 1833752011 1851408013 1863864223 1917085807 1948566451 1960072471 1992259003 2049146827 2062933417 2070059537 2083986827 2165704583 2178692399 2227545047 2264123771 2328774539 2490618403 2531517079 2588281087 2603803111 2680099093 2705904019 2724109249 2801894641 2830489571 2876969303 2941479359 3025471631 3045826901 3184242737 3255642761 3309103973 3382780219 3405539449 3438329167 3539078221 3560302213 3640134589 3699909577 3805558393 3954782797 3995143607 4022022797 4136869373 4204801289 4229630069 4299085217 4324867001 4421843153 4451593163 4625434177 4701388861 4806807733 4944063397 4977326887 5025250321 5168743489 5203518619 5320196707 5407560151 5462747381 5618733029 5783371727 5839056041 5878341011 6046193699 6145478807 6462693839 6528649309 6572573839 6760249951 6871260643 6911834503 7025334379 7067465587 7225938811 7274554681 7344596623 7419552413 7682757407 7855027271 7984015403 8211994427 8534004983 8836744637 8926928647 9181832023 9332607739 9450875749 9541872067 9606069457 9880365313 10042611709 10145102279 10560987493 10668768383 10740547493 10843961219 11153604371 11228645441 11480424473 11668945589 12002145701 12124634431 12554749909 12836264077 13047049561 13419600649 13639965157 13945813021 14440533919 14587907789 14827457177 15159932081 15250846793 15592815329 15697723259 15848866397 16301421773 16411097183 16578581773 17434328821 17551626391 17720619553 18226621777 18349249867 18760693651 19068764743 19613262487 19813426997 20138785121 20590355513 20728886723 21320788307 21670898951 22289699159 22789499327 23163727811 23838776143 24068304169 24230234899 24773547547 24922115491 25331363863 25480942123 25652377033 25899367039 26638908751 26818134421 27091828751 28154159579 28958085611 29433609023 30093596519 30274069007 31161152141 31672852313 32378039239 32909722027 33647654131 33874034401 34841288209 35176752247 35413420237 36424630333 37241376949 37852921057 38239231667 39331131203 39595749713 40483602089 41148387077 41395155581 42323355893 43018351649 44272012837 46008016873 47321749657 48098824501 49177340653 49472259109 50921882767 51412176361 51758075731 51936866891 52286296361 53779301849 54662416757 54985190897 55355129387 55888107821 57483960989 57870711119 61857212459 62488500529 64272824161 64705249531 65328254173 66156130243 67242486199 67645742047 69162557191 70298281963 71015715953 75183832451 75907728533 76418433143 78600518087 79891224491 80362971311 81682619123 84015019907 84580270097 84872441017 85443459907 87883249363 89326388359 89853848539 91329346927 93937204543 94569210853 95479756099 101083737433 102115354523 103792200239 106119524567 106755927551 109884062813 110942064779 111688479209 114877680281 116050072411 122861384737 124044336871 124878902941 128444749069 130553952217 131324855557 133481353201 137292837409 138216538939 138693988979 139627117409 140971495847 145102207061 145972390733 149245518149 151696292657 156027894113 162146094677 166871433001 169611644293 173414832829 174454808437 177319547041 179566639231 181295569273 182515319683 187726940947 189642801257 192756943301 197079117053 202706599277 204070402367 206035263161 211918483049 213344263379 218128064987 221709966191 226646274673 228171143083 230368054189 237118240807 238540248271 243889017463 247893941659 254972412331 264970447399 267674621669 269475527399 277170247991 281721686363 283385214623 288038709539 289766089067 296263491251 298256741921 301128461543 309904089859 314993053687 322056118111 331252247599 333480901429 336691771507 346305813763 348635747473 356453179369 362306530117 366004074527 376455112943 382636917299 387485905709 391216754747 393848847737 405094977833 411747080069 433000487213 437419503703 440362447213 452936746717 457297779211 460374463081 463092911701 470697403393 473520194329 484137900337 487395163627 492087973741 497110011671 514744746269 526286827157 534929032001 550203626609 559238571437 571778333861 592061890679 598104219349 615182745541 625284718513 639305428489 643606653619 661984475971 668358292693 672854984503 679721852693 707586162031 714807481661 719616682031 726545401673 747291492857 752319244547 769188439691 781819354463 804143761967 812350506877 841168243903 860029693159 874152320587 899113243483 913877665519 934369472407 967515772573 977389821863 986800470929 993439630859 1015715449427 1021806735131 1038585918383 1044718627043 1051747458353 1061874048599 1092195258791 1099543511261 1110764978791 1168100031007 1187281510051 1221183659059 1229399741089 1241236829287 1256966474617 1277607237781 1314088586629 1327499608799 1349298603107 1379553819371 1388835410441 1428492816569 1442246842127 1451950229717 1493409843653 1526896454909 1551969763337 1597198001581 1612576379323 1623425738233 1659827685649 1669781737897 1697201378821 1707223122241 1735257591613 1784806886317 1796815006207 1815152526317 1886328691793 1940191735937 1972051804541 2016270966773 2028362623469 2087797193447 2107899230801 2122081104971 2169328629013 2204951375809 2254392826777 2269560304867 2334366310003 2356842400549 2372699155879 2440450232311 2495172255583 2536145710819 2562028521689 2635185790601 2652915230771 2678458421093 2712401339963 2756941934159 2773475423927 2835664844831 2882229560483 2966224860079 3082537130491 3170557227019 3222621241567 3294881823751 3314641360303 3411766145389 3444615816187 3467791073977 3479770081697 3503181856187 3603213223883 3662381922719 3684007790099 3744503224007 3851425386263 3877337644973 3914670000059 4144433234753 4186729535443 4306279218787 4335251718577 4376993029591 4505246575333 4532264717149 4633891331797 4709984891521 4758052968851 5037316774217 5085817811711 5120035020581 5266234711829 5352712040897 5384319077837 5472735481241 5629006333769 5666878096499 5686453548139 5724711813769 5888177707321 5984868020053 6020207852113 6119066244109 6293792704381 6336137127151 6397143658633 6772610408011 6841728753041 6954077416013 7110008145989 7152647145917 7270101428681 7362232208471 7433118340193 7483128107003 7696804578827 7775354851537 8310970570357 8366886497047 8605798187623 8688657805009 8747114798539 8798765322319 8943250664467 9198620106403 9260508108913 9292497261593 9355016866403 9445090221749 9721847873087 9780150179111 9999449715983 10163651608019 10453868905571 10863788343359 11180386011067 11363980167631 11618793799543 11688472165279 11880409651747 12146803141291 12228526418761 12577705043449 12706067684219 12914715201167 13204300842551 13581342151559 13672716958589 13804362631787 14198538364283 14294065646393 14614580354129 14854567734797 15185300403091 15434659630663 15886922134069 15982196634157 16340564170021 16608894091153 17083151626177 17753019975733 17934199651823 18054860335733 18570406615397 18749208947651 18875352986321 18986809379741 19298593539113 19414327967489 19849653913817 19983201708707 20175606923381 20763574020553 21104534597029 21577759913437 22193900589133 22558348690969 23202489522121 23358595080691 23882363017723 24274537517839 24522272993309 25222492567181 25636673459033 26211522568049 26387872798379 27141363514811 27402690000413 27587054364623 29011032643271 29307106748101 29504283963271 30346762030039 30638951207137 30845089026427 31536726027331 31725853020043 32437239322579 32969894240647 33306370781957 34487898000023 35261217419519 35840245144067 36863642982803 37468984286279 38309148368687 39668146675493 40072982696383 41217243951247 41894076140371 42833463708763 43121645792473 44352959890057 44780005610431 45081283961701 45541364130431 47408272856077 47892101271287 48678541912091 50068530021419 50405389384649 50890710000767 51535625459297 52381896749021 53877632051789 54427483960759 56358272341501 58568205479329 60240587313361 61229803589773 62602754651269 64823556762391 65485118064821 66115631552243 66560455267553 68052935111609 68461051253777 69585256531661 69996148011881 71145561256133 73177082338997 73669415254487 74421253578997 78262702077469 79547861173417 81819305156953 82369782652963 83162867562229 85599684931327 88043935304143 88942473789533 90403006408169 92430105897857 93051972499547 95709018710123 96630538422509 97280665391039 100058459524751 102302062478903 103981974143579 108042617414641 108769524461611 111208454938483 111875376439099 113712492381007 114383949190147 116262258638071 119582061383239 120386605415869 121615219263239 126384022350131 129992846307779 132127470904247 135090154773791 135900295772423 139882411960949 141229248463667 142179434033057 145345018143871 147731742179203 151044319394059 157908440836783 158970843443893 163510165564837 167176541124061 169921762624873 171655910953163 176557447970267 177745320461657 179456714213231 184715109588653 185822853403109 189989544603677 193109380552361 206529987742897 212427334210273 215915623184989 220757082191317 222080971140301 230789259684529 232342001956459 233144595473699 234713184364529 241415286000161 245379588822173 246828521936633 250881716008469 258045500879621 259781622213191 262282890003953 277677026728451 280510878874681 288520707658729 293258532982597 301851520547311 303661736048983 310470719230399 315568987731907 318789548913017 340749793384637 343042346378927 352837725692543 356234970005369 358631706740099 360749378215079 366673277243147 377143424362523 379680832465433 380992387725313 383555691522523 394507906390507 400986157343551 409977438355303 421684111193527 428608625128411 453764897336737 458395826453747 465923186872871 476370545781263 479227358776439 487096795721627 498018928792931 501369583169201 515685906781409 520948775052979 556835028213919 560581395302149 576588478570741 582140072935603 586056691502113 599197794519289 616307547129001 622597316526731 632821044857183 651363807496829 655270062000437 669963130970861 680964657737273 700409216673257 727873819005053 761386671231277 778459184569381 783127635073693 795987446667049 813835810466497 819311270056987 842706237911083 851306534842673 865285918478189 884688156450917 909949924154453 924892296329729 951302070406961 957702398308331 979176883726643 995256038231399 1017415127007097 1034122195254421 1070807174488519 1112795904107251 1144571158953859 1189452338374111 1201591376672141 1209675642494111 1244217243231599 1256196999492617 1264648650083507 1293005767120571 1300759973821763 1329926812225739 1351765663866527 1414003818000943 1445709914200279 1486991339471911 1511409362294923 1554566797982107 1565025870406297 1626394013695213 1642992290551703 1689907002001127 1717657121755211 1756172012059283 1767987477491393 1818471355492337 1835980230027671 1848332642429741 1943739187099157 1963576152122767 2052809730878179 2066620964770609 2112960643831177 2125632152342881 2173295034612793 2208982914123349 2231526842391119 2310689166001541 2401296424652489 2469864079847801 2510421947180693 2566712940702029 2657765827258031 2684889840657661 2761555344733549 2806903101404857 2869842068487121 3000260375898877 3020446025433967 3051271396738877 3176354281357159 3208770785176229 3261462308110097 3354591511435073 3377161088771483 3409677570051389 3509587082184407 3609801347469863 3646641425370853 3924069767115043 4036119349995187 4102396840514791 4194384561635023 4429747314000281 4459550502926051 4559546652477803 4586890434003059 4662212187621287 4689741916796027 4766752604160911 4902864516712799 4935850822050629 4986223989792799 5329706698618939 5481893445515851 5571912126669343 5735178890398909 5898943665377581 5959145743898711 6057001429347323 6192817095156419 6474246074308103 6517804581199613 6703916788158317 6854238186086501 6966792267619793 7238855366780947 7287558138927937 7495650221419633 7618736989527469 7789571328750757 8011998112677013 8467729497458777 8709520702621193 8852540550584549 9051040369843997 9105319816752341 9462359647065689 9526022080214819 9898026726006601 10119969399401953 10579865536064461 10651046510740831 10955181092844079 11384758095866491 11500946033861921 11829349014007889 12023599852286477 12375912342439751 12450131178008303 12729299488446359 12938328497008187 14466346753394263 14790724506818239 14879425066400167 15462880398863443 15566914131082753 15620687896737833 15725783352423443 16174824162010787 16440432451085591 16809074972567423 17289048558934607 17572953630264851 18604360790806217 18794228884603627 19330887413134843 19648321709833999 20345336315281861 21143122178037769 21358899777172139 22830236156770679 22983837207388109 23640127621400381 23867742990359723 24028324351586633 24567109575290849 25268609432289041 25526489977595971 26866072542017917 27468488369805301 28252835449966309 28716777883603537 31216853520482357 31916826567344621 32108233038021413 32635485313349009 33367268229126377 33591762072336467 34550955754354403 34903567928549593 37307946890332573 39003384886685401 39265798330641571 40146252232792363 41292605657643067 41714020207290977 42399010005431261 43903094154029279 45624632068397291 46927417517108219 48767545873338551 51012906972495559 52469551549937431 53331158926692283 54526999301255299 57974156538038663 59274106482211439 60966644918348351 61967783854091843 63737238717266387 64166060686658177 66682154561503733 69286187082046207 74557325575185817 76686267649908553 79693306671065437 80506622237033447 84165198966005339 84731459555594969 86631386397078257 87150918246058121 89105096419124513 90568299479057309 94738255806063181 101264427273759841 104155975464801169 108968398917579271 110080483466964101 113223769134075509 115083027157599137 117663524807971961 123010675411853957 123838287042792647 130230525535643519 131559602192225389 137538251968837993 138463604639630803 142417354206973027 148001855246264383 149512298440204973 160886860451716763 165480893349802667 168198270461106431 171969767027035943 188062507794125419 192279418588637107 201017445185224759 202369883704075789 204435183581504759 218517974643376499 224757631266149891 228448397193443063 235142334506355269 241856690280480821 244324975499847151 274860588314490997 281023765629546541 296793070038018827 298789883696045417 307321659078204953 312368216570626229 319372424478781037 328491922619757533 357090348807468913 367286860849562017 373318112486845981 405819095766270641 414918745375480073 433774486978642901 436692906940374071 449162424806607239 466775081930526131 485003309574323449 510455378298340423 521901279026300719 536803873549359871 593120216889164783 606419704779547799 610056427722406847 633978096353401163 638243479374392873 663167790642442267 708850990916318887 762778792423054897 770563384268748707 792566383938528563 805581190103193959 834158788926556301 866868009299548529 969245232477415621 996921479448811189 1036012986723850681 1046586089081434811 1101508974222734597 1126208023162017341 1158366253448618669 1177387893227745017 1316437554558877933 1416589185928530523 1431046285070533313 1529625822503635493 1599138780354101441 1609897731556304411 1645996341544486883 1692996831963365747 1710274828498930057 1800026860315200439 1924024118201436979 2091529185872317919 2151251613547434671 2186577515994383603 2235606971351467259 2499632441652282391 2613226787407921867 2630808488152985257 2840733670363894487 3056850348582618497 3144136973646250673 3267425573513682917 3573187648088382961 3653308953184105033 3884268488048590421 4151841518224153481 4270394994056847929 4467704355620750111 4642174534497095869 5339451546961384279 5393943689881240949 5639068330722357713 5677007790224862923 5839111522485894107 6068076065096839703 6784716627341909347 6978450356141678323 7710562819559142179 7883456162134121387 8241715252594215119 8297165231867107349 9215062881912145531 9916124301499713661 10017323995493733191 11269284120894130877 11521974390811408181 12600188022206403073 13468168827410058853 14640704301106225433 15058761294832042697 15306042611960685221 18415659417070896799 19885135692547261409 20928670510231957343 21397952440078329479 22008958815523754711 25012313536618680727 27189879416340132947 29062890627569074367 31273930489345250777 32495221741479671083 34200510345988808341 39739054531574040461 40873780657401258749 42476532455677877921 47493016391393365429 53973939736913995253 58080156623069751443 69412870110497995627 70121267968456132337 73801101272923217999 78884988846258916139 88201316155444821511 102484930107743578031 107142298283724796547 107863148014272395537 128909615919496277593 146500693571623701401 149785667080548306353 175086194756330765089 190329155914380930629 218917513425416755439 239403572421921658387 278173381721018283227 286116464601808811243 377817578158397966771 406561096361488260101 516607708910462525993 552194921923812412973 617409213088113750577 755042036099906768759 902367311436473943151 1025504855001365909807 1332304091400666514403 1402220924185541141981 1675825006953451608709 1947213672047127982589 2845927674530417820707 3616253962373237681951 5285294252699347381313 7178533985009561368649 9815546469298787993867 11730775048674161260963 25313777736612663773657 36997059768895431669191 68708825285091515957069 480961776995640611699483
- Sum of all divisors σ(n): 667353092161858421760000
- Sum of proper divisors (its aliquot sum) s(n): 186391315166217810060517
- 480961776995640611699483 is a deficient number, because the sum of its proper divisors (186391315166217810060517) is less than itself. Its deficiency is 294570461829422801638966
Bases of 480961776995640611699483
- Binary: 11001011101100011111101011111000001110011010011111010010001001111111011000110112
- Hexadecimal: 0x65D8FD7C1CD3E913FB1B
- Base-36: 26BJE3N1C5HETGKB
Squares and roots of 480961776995640611699483
- 480961776995640611699483 squared (4809617769956406116994832) is 231324230930804330712719671588936684497502467289
- 480961776995640611699483 cubed (4809617769956406116994833) is 111258113170629582792939488613981814679924009667151128651993991905711587
-
The
square root of 480961776995640611699483 is 693514078440.8349786269 -
The
cube root of 480961776995640611699483 is 78349612.7905222053
Scales and comparisons
How big is 480961776995640611699483?- 480,961,776,995,640,611,699,483 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 480,961,776,995,640,611,699,483 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 480961776995640611699483 cubic inches would be around 6529134.4 feet tall.
Recreational maths with 480961776995640611699483
- 480961776995640611699483 backwards is 384996116046599677169084
- The number of decimal digits it has is: 24
- The sum of 480961776995640611699483's digits is 128
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 480961776995640611699483 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
APA style:
Numbermatics. (2024). Number 480961776995640611699483 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/480961776995640611699483/
Chicago style:
Numbermatics. 2024. "Number 480961776995640611699483 - Facts about the integer". https://numbermatics.com/n/480961776995640611699483/
The information we have on file for 480961776995640611699483 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 480961776995640611699483, math, Factors of 480961776995640611699483, curriculum, school, college, exams, university, Prime factorization of 480961776995640611699483, STEM, science, technology, engineering, physics, economics, calculator, four hundred eighty sextillion, nine hundred sixty-one quintillion, seven hundred seventy-six quadrillion, nine hundred ninety-five trillion, six hundred forty billion, six hundred eleven million, six hundred ninety-nine thousand, four hundred eighty-three.