1372867387658920216413
1,372,867,387,658,920,216,413 is an odd composite number composed of four prime numbers multiplied together.
1372867387658920216413 is an odd composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, six hundred eighty divisors.
Prime factorization of 1372867387658920216413:
36 × 77 × 195 × 314
(3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 19 × 19 × 19 × 19 × 19 × 31 × 31 × 31 × 31)See below for interesting mathematical facts about the number 1372867387658920216413 from the Numbermatics database.
Names of 1372867387658920216413
- Cardinal: 1372867387658920216413 can be written as One sextillion, three hundred seventy-two quintillion, eight hundred sixty-seven quadrillion, three hundred eighty-seven trillion, six hundred fifty-eight billion, nine hundred twenty million, two hundred sixteen thousand, four hundred thirteen.
Scientific notation
- Scientific notation: 1.372867387658920216413 × 1021
Factors of 1372867387658920216413
Divisors of 1372867387658920216413
- Number of divisors d(n): 1680
-
Complete list of divisors:
1 3 7 9 19 21 27 31 49 57 63 81 93 133 147 171 189 217 243 279 343 361 399 441 513 567 589 651 729 837 931 961 1029 1083 1197 1323 1519 1539 1701 1767 1953 2401 2511 2527 2793 2883 3087 3249 3591 3969 4123 4557 4617 5103 5301 5859 6517 6727 6859 7203 7533 7581 8379 8649 9261 9747 10633 10773 11191 11907 12369 13671 13851 15903 16807 17577 17689 18259 19551 20181 20577 21609 22599 22743 25137 25947 27783 28861 29241 29791 31899 32319 33573 35721 37107 41013 45619 47089 47709 48013 50421 52731 53067 54777 58653 60543 61731 64827 68229 74431 75411 77841 78337 83349 86583 87723 89373 95697 96957 100719 111321 117649 123039 123823 127813 130321 136857 141267 143127 144039 151263 158193 159201 164331 175959 181629 185193 194481 202027 204687 208537 212629 223293 226233 233523 235011 250047 259749 263169 268119 287091 302157 319333 329623 333963 336091 346921 352947 369117 371469 383439 390963 410571 423801 429381 432117 453789 477603 492993 521017 527877 544887 548359 555579 566029 583443 606081 614061 625611 637887 669879 678699 700569 705033 779247 804357 823543 861273 866761 894691 906471 912247 923521 957999 988869 1001889 1008273 1040763 1058841 1107351 1114407 1150317 1172889 1231713 1271403 1296351 1361367 1414189 1432809 1459759 1478979 1488403 1563051 1583631 1634661 1645077 1666737 1698087 1750329 1818243 1842183 1876833 1913661 2009637 2115099 2235331 2307361 2337741 2352637 2413071 2428447 2470629 2476099 2583819 2600283 2684073 2719413 2736741 2770563 2873997 2966607 3005667 3024819 3122289 3176523 3343221 3450951 3518667 3647119 3695139 3814209 3838513 3889053 3962203 4039951 4084101 4242567 4298427 4379277 4436937 4465209 4689153 4750893 4903983 4935231 5000211 5094261 5454729 5630499 5740983 6028911 6067327 6262837 6345297 6385729 6464647 6591499 6705993 6922083 7013223 7057911 7239213 7285341 7411887 7428297 7751457 7800849 8052219 8158239 8210223 8311689 8621991 8899821 9074457 9366867 9529569 9899323 10029663 10218313 10352853 10418821 10556001 10754551 10941357 11085417 11442627 11515539 11667159 11886609 12119853 12252303 12727701 12895281 13137831 13310811 13395627 14067459 14805693 15282783 15647317 16151527 16364187 16468459 16891497 16999129 17222949 17332693 17546899 18086733 18201981 18788511 19035891 19157187 19393941 19774497 20117979 20766249 21039669 21173733 21717639 21856023 22235661 22284891 23402547 24156657 24630669 24935067 25529833 25865973 26699463 26869591 27223371 27735421 28100601 28279657 28588707 29697969 30088989 30654939 31058559 31256463 31668003 32263653 32824071 33256251 34327881 34546617 35001477 35659827 36359559 38183103 39413493 40186881 42202377 42471289 43839859 44417079 44700103 45252529 45848349 46140493 46941951 48454581 49092561 49405377 50674491 50997387 51668847 51998079 52640697 54260199 54605943 56365533 57107673 57471561 58181823 59323491 60353937 62298747 63521199 65568069 66706983 66854673 69295261 70207641 71528191 72469971 72931747 73892007 74805201 75281857 76589499 76759069 77597919 80098389 80608773 81670113 83206263 84301803 84838971 85766121 89093907 90266967 91964817 93175677 93769389 95004009 96790959 98472213 103639851 106979481 109078677 113060689 114549309 115279213 118240479 118993903 120560643 121328851 122828293 125238481 126607131 127413867 131519577 133251237 134100309 135757587 137545047 138421479 140825853 145363743 147277683 148216131 152023473 152992161 155006541 155994237 157922091 163817829 169096599 172414683 174545469 177970473 181061811 186896241 188087137 190563597 194147947 196704207 197957599 200120949 200564019 204336469 207885783 210622923 214584573 217409913 218795241 221676021 224415603 225845571 229768497 230277207 232793757 240295167 241826319 245010339 249618789 252905409 254516913 267281721 275894451 281308167 290372877 295416639 297299023 306879013 310919553 312900721 316767703 320938443 322983451 327236031 333391081 339182067 343647927 345837639 354721437 356981709 361681929 363986553 368484879 375715443 379821393 382241601 394558731 399753711 402300927 407272761 412635141 415264437 422477559 436091229 444648393 458976483 467982711 473766273 485066827 491453487 500697337 507289797 510522229 517244049 523636407 526972999 533911419 537313483 543185433 560688723 564261411 571690791 582443841 590112621 593872797 600362847 601692057 613009407 623657349 631868769 643753719 652229739 656385723 665028063 673246809 677536713 689305491 690831621 725478957 748856367 763550739 791424823 801845163 806954491 827683353 832957321 843924501 849301957 859798051 871118631 876669367 886249917 891897069 920637039 932758659 938702163 950303109 962815329 968950353 981708093 1000173243 1017546201 1030943781 1037512917 1064164311 1070945127 1085045787 1091959659 1105454637 1127146329 1146724803 1183676193 1206902781 1221818283 1245793311 1267432677 1308273687 1316609959 1333945179 1359035629 1376929449 1385703193 1403948133 1421298819 1430355283 1455200481 1474360461 1502092011 1521869391 1531566687 1551732147 1570909221 1580918997 1601734257 1611940449 1629556299 1682066169 1692784233 1715072373 1747331523 1770337863 1781618391 1805076171 1839028221 1870972047 1931261157 1969157169 2032610139 2067916473 2072494863 2148153091 2176436871 2190305047 2217373921 2246569101 2260884157 2290652217 2333737567 2374274469 2379531139 2405535489 2420863473 2483050059 2498871963 2531773503 2547905871 2579394153 2613355893 2630008101 2658749751 2675691207 2761911117 2798275977 2816106489 2850909327 2888445987 2906851059 2945124279 3000519729 3052638603 3112538751 3212835381 3275878977 3316363911 3381438987 3440174409 3504881359 3551028579 3573655603 3620708343 3665454849 3688810993 3737379933 3761194381 3802298031 3882392911 3924821061 3949829877 4001835537 4077106887 4130788347 4157109579 4211844399 4263896457 4291065849 4365601443 4423081383 4506276033 4565608173 4594700061 4655196441 4712727663 4742756991 4805202771 4835821347 5078352699 5241994569 5344855173 5517084663 5612916141 5648681437 5793783471 5830701247 5907471507 5945113699 6018586357 6097830417 6136685569 6203749419 6217484589 6334430539 6444459273 6529310613 6570915141 6652121763 6739707303 6782652471 6871956651 7001212701 7122823407 7138593417 7216606467 7262590419 7449150177 7496615889 7595320509 7643717613 7738182459 7840067679 7890024303 8027073621 8285733351 8448319467 8552727981 8720553177 9001559187 9157915809 9216269713 9337616253 9513249403 9638506143 9699922351 9827636931 9949091733 10012486981 10144316961 10320523227 10514644077 10653085737 10720966809 10862125029 10996364547 11066432979 11212139799 11283583143 11406894093 11647178733 11774463183 11849489631 12005506611 12231320661 12392365041 12471328737 12635533197 12791689371 12873197547 13096804329 13518828099 13784100183 14228270973 14507464041 15037071637 15235058097 15332135329 15521617447 15725983707 15826189099 16034565519 16336162969 16551253989 16656717973 16838748423 16946044311 17381350413 17492103741 17722414521 17835341097 18055759071 18293491251 18410056707 18611248257 18652453767 19003291617 19333377819 19587931839 19712745423 19956365289 20219121909 20347957413 20615869953 21003638103 21368470221 21415780251 21787771257 22489847667 22931152839 23214547377 23670072909 24081220863 24534169513 24857200053 25015589221 25344958401 25658183943 25821676951 26161659531 26328360667 27004677561 27176750377 27473747427 27648809139 28012848759 28539748209 28915518429 29099767053 29482910793 29847275199 30037460943 30432950883 30961569681 31543932231 31959257211 32162900427 32586375087 32989093641 33199298937 33636419397 33850749429 34941536199 35548468893 36693961983 37413986211 38619592641 39290412987 40556484297 40814908729 41352300549 41615795893 42130104499 42684812919 42956798983 43522392123 44341013773 45111214911 45705174291 45996405987 46564852341 47177951121 47478567297 48103696557 49008488907 49653761967 49970153919 50516245269 50838132933 52144051239 52476311223 53167243563 53506023291 54167277213 54880473753 55230170121 55957361301 57009874851 58000133457 59138236269 59869095867 61043872239 63010914309 64105410663 64247340753 65363313771 66592745821 67469543001 67899456457 68793458517 69643642131 70087408867 71010218727 72243662589 73602508539 73765465309 74571600159 75046767663 76034875203 76974551829 77465030853 78484978593 78985082001 81014032683 81530251131 82421242281 82946427417 84038546277 85619244627 86746555287 87299301159 88448732379 89541825597 90112382829 91298852649 94631796693 96488701281 99597896811 101552248287 104824608597 106645406679 107324947303 108651322129 110081885949 110783323693 112241958633 114353140783 115858777923 116597025811 117871238961 120354180241 121669452891 122444726187 124056901647 124847387679 126390313497 128054438757 128870396949 130567176369 133023041319 135333644733 137115522873 137989217961 139694557023 141533853363 142435701891 144311089671 147025466721 148961285901 149910461757 152514398799 157428933669 160518069873 162501831639 165690510363 171029624553 174000400371 175109124547 177414708807 179607287601 180751738657 183131616717 184298524669 189032742927 190237252639 192316231989 192742022259 196089941313 199778237463 202408629003 203698369371 206380375551 208930926393 210262226601 213030656181 216730987767 220807525617 221296395927 223714800477 225140302989 228104625609 230923655487 232395092559 235454935779 236955246003 243042098049 244590753393 248839282251 256857733881 261897903477 270337148487 283895390079 285704361103 289466103843 291310571251 294910731493 298793690433 300697592881 304656744861 310387096411 314473825791 319936220037 321974841909 325953966387 330245657847 332349971079 336725875899 343059422349 347576333769 349791077433 353613716883 361062540723 365008358673 367334178561 372170704941 374542163037 379170940491 384163316271 386611190847 391701529107 399069123957 406000934199 413967653883 419083671069 427307105673 441076400163 449731385271 457543196397 466149220747 472286801007 475296195199 481554209619 487505494917 490611862069 497071531089 513088873659 516358257163 522001201113 525327373641 532244126421 538821862803 542255215971 549394850151 552895574007 567098228781 570711757917 576948695967 578226066777 588269823939 599334712389 607225887009 611095108113 619141126653 626792779179 630786679803 639091968543 662422576851 663889187781 675420908967 697185277677 710865738009 733772260179 746517846753 760559254903 770573201643 775483265851 785693710431 800471985481 811011445461 816179180677 842479261687 851686170237 857113083309 868398311529 873931713753 884732194479 896381071299 902092778643 913970234583 931161289233 943421477373 959808660111 965924525727 977861899161 990736973541 997049913237 1010177627697 1029178267047 1042729001307 1049373232299 1083187622169 1102002535683 1123626489111 1137512821473 1159833572541 1197207371871 1218002802597 1241902961649 1257251013207 1265262170599 1281921317019 1290089672683 1323229200489 1331660768473 1349194155813 1372629589191 1398447662241 1416860403021 1425888585597 1444662628857 1462516484751 1471835586207 1491214593267 1539266620977 1549074771489 1566003603339 1575982120923 1596732379263 1616465588409 1626765647913 1648184550453 1658686722021 1701294686343 1712135273751 1734678200331 1798004137167 1833285324339 1892360039409 1987267730553 1991667563343 2026262726901 2039173998757 2064375120451 2091555833031 2104883150167 2132597214027 2172709674877 2201316780537 2239553540259 2281677764709 2286729424579 2311719604929 2326449797553 2357081131293 2401415956443 2433034336383 2448537542031 2527437785061 2555058510711 2571339249927 2605194934587 2621795141259 2654196583437 2689143213897 2706278335929 2741910703749 2793483867699 2830264432119 2897773577181 2933585697483 2991149739711 3087534801141 3148119696897 3249562866507 3306007607049 3327073366393 3370879467333 3412538464419 3434283034483 3479500717623 3591622115613 3614507800141 3654008407791 3725708884947 3771753039621 3795786511797 3845763951057 3870269018049 3969687601467 3994982305419 4047582467439 4117888767573 4195342986723 4250581209063 4277665756791 4333987886571 4387549454253 4415506758621 4473643779801 4617799862931 4647224314467 4727946362769 4880296943739 4976060166063 5136405821253 5394012411501 5428382860957 5499855973017 5603303898367 5677080118227 5713254264739 5897354831809 5961803191659 5975002690029 6078788180703 6117521996271 6193125361353 6274667499093 6314649450501 6397791642081 6518129024631 6603950341611 6718660620777 6845033294127 6860188273737 6935158814787 6979349392659 7071243393879 7204247869329 7299103009149 7345612626093 7582313355183 7714017749781 7865385423777 7962589750311 8118835007787 8380451603097 8693320731543 8800757092449 8856835194193 8973449219133 9030627708781 9262604403423 9321625379311 9444359090691 9748688599521 9918022821147 9981220099179 10112638401999 10237615393257 10302849103449 10438502152869 10774866346839 10843523400423 10962025223373 11177126654841 11315259118863 11387359535391 11537291853171 11610807054147 11909062804401 11984946916257 12142747402317 12586028960169 12832997270373 13246520275863 13941672943401 14183839088307 14450625843157 14640890831217 14734182051169 14928180498189 15208967724139 15409217463759 16007105972053 16182037234503 16285148582871 16499567919051 16809911695101 17031240354681 17139762794217 17692064495427 17885409574977 17925008070087 18236364542109 18352565988813 18579376084059 18824002497279 18943948351503 19193374926243 19554387073893 19811851024833 20535099882381 20580564821211 20938048177977 21612743607987 22036837878279 22746940065549 23142053249343 23596156271331 23887769250933 24039981241381 24356505023361 25141354809291 25301554600987 26079962194629 26402271277347 26570505582579 26920347657399 27091883126343 27787813210269 27964876137933 28333077272073 29246065798563 29754068463441 29943660297537 30337915205997 30712846179771 30908547310347 31315506458607 32324599040517 32530570201269 34162078606173 34832421162441 35954840748771 37758086880507 38498991811119 39223127288569 39739560827589 39992779853173 41281483822663 41825018830203 42551517264921 43351877529471 43922672493651 44202546153507 44784541494567 45626903172417 46227652391277 48021317916159 48546111703509 48855445748613 49498703757153 50429735085303 51093721064043 51419288382651 53076193486281 53775024210261 55057697966439 55738128252177 56831845054509 58663161221679 61605299647143 61741694463633 62814144533931 63214393961467 64838230823961 65251377655177 66110513634837 68240820196647 69426159748029 70788468813993 71663307752799 72119943724143 73069515070083 75424064427873 75904663802961 78239886583887 79206813832041 79711516747737 80761042972197 81275649379029 83363439630807 83894628413799 84999231816219 87738197395689 89830980892611 92725641931041 97591710603807 102486235818519 103139274358183 104497263487323 106462774068973 107864522246313 112049741804371 113274260641521 115496975433357 117669381865707 119218682482767 119978339559519 123844451467989 125475056490609 127654551794763 130055632588413 131768017480953 132607638460521 134353624483701 136880709517251 138682957173831 144063953748477 146566337245839 151289205255909 154257865147953 159228580458843 165173093899317 167214384756531 168279868689667 170495535163527 175989483665037 177110882206909 184815898941429 185225083390899 188442433601793 189643181884401 194514692471883 195754132965531 198331540904511 204722460589941 208278479244087 212365406441979 214989923258397 216359831172429 219208545210249 226272193283619 227713991408883 239134550243211 243826948137087 251683885241397 269492942677833 274561891019983 278176925793123 279949458972211 288970386758641 292775131811421 307458707455557 309417823074549 313491790461969 319388322206919 323593566738939 336149225413113 339822781924563 346490926300071 353008145597121 357656047448301 359935018678557 371533354403967 376425169471827 390166897765239 397822915381563 410642128551753 432191861245431 439699011737517 453867615767727 456759643586239 462773595443859 477685741376529 495519281697951 501643154269593 504839606069001 511486605490581 527968450995111 531332646620727 554447696824287 555675250172697 565327300805379 568929545653203 583544077415649 587262398896593 594994622713533 614167381769823 649079493517287 683141974226649 717403650729633 731480844411261 745239418482811 755051655724191 784348192630597 808478828033499 823685673059949 834530777379369 839848376916633 866911160275923 878325395434263 922376122366671 928253469223647 940475371385907 958164966620757 970780700216817 1008447676239339 1059024436791363 1079805056035671 1114600063211901 1170500693295717 1193468746144689 1231926385655259 1239776175448363 1296575583736293 1319097035212551 1361602847303181 1370278930758717 1388320786331577 1433057224129587 1486557845093853 1504929462808779 1514518818207003 1534459816471743 1583905352985333 1593997939862181 1667025750518091 1706788636959609 1761787196689779 1947238480551861 1959646212805477 2022792707310487 2049425922679947 2152210952188899 2194442533233783 2235718255448433 2265154967172573 2353044577891791 2425436484100497 2471057019179847 2503592332138107 2519545130749899 2600733480827769 2634976186302789 2784760407670941 2874494899862271 3025343028718017 3177073310374089 3197317505103673 3239415168107013 3343800189635703 3511502079887151 3580406238434067 3695779156965777 3719328526345089 3889726751208879 3957291105637653 4084808541909543 4110836792276151 4164962358994731 4299171672388761 4543556454621009 4781993819586543 5120365910878827 5216675929379677 5285361590069337 5490437348414179 5841715441655583 5878938638416431 6068378121931461 6148277768039841 6456632856566697 6583327599701349 6707154766345299 6795464901517719 7059133733675373 7413171057539541 7558635392249697 7802200442483307 8354281223012823 8623484699586813 8678433228138541 9076029086154051 9531219931122267 9591952515311019 9718245504321039 10031400568907109 10534506239661453 10741218715302201 11087337470897331 11157985579035267 11669180253626637 12332510376828453 13630669363863027 14159548951173409 14345981458759629 15361097732636481 15650027788139031 15856084770208011 16471312045242537 17525146324966749 17636815915249293 18205134365794383 18444833304119523 20121464299035897 21177401201026119 22239513172618623 22675906176749091 23406601327449921 25062843669038469 25870454098760439 26035299684415623 27228087258462153 28593659793366801 28775857545933057 29154736512963117 30094201706721327 33473956737105801 36997531130485359 38433061438899253 40892008091589081 42478646853520227 43037944376278887 46083293197909443 46950083364417093 47568254310624033 49413936135727611 52910447745747879 54615403097383149 60364392897107691 60749032596969787 63532203603078357 66718539517855869 68027718530247273 70219803982349763 75188531007115407 77611362296281317 78105899053246869 81684261775386459 86327572637799171 99116842658213863 100421870211317403 110992593391456077 115299184316697759 122676024274767243 127435940560560681 129113833128836661 140850250093251279 148241808407182833 158731343237243637 163846209292149447 181093178691323073 182247097790909361 190596610809235071 200155618553567607 204083155590741819 210659411947049289 234317697159740607 258982717913397513 269031430072294771 297350527974641589 301265610633952209 332977780174368231 345897552950093277 382307821681682043 422550750279753837 444725425221548499 476194029711730911 491538627876448341 543279536073969219 546741293372728083 571789832427705213 702953091479221821 776948153740192539 807094290216884313 892051583923924767 903796831901856627 1037692658850279831 1146923465045046129 1267652250839261511 1334176275664645497 1428582089135192733 1474615883629345023 1640223880118184249 1883220010506063397 2108859274437665463 2330844461220577617 2421282870650652939 2676154751771774301 3113077976550839493 3440770395135138387 3802956752517784533 4002528826993936491 4920671640354552747 5649660031518190191 6326577823312996389 7263848611951958817 8028464255315322903 9339233929652518479 10322311185405415161 14762014921063658241 16948980094554570573 21791545835855876451 24085392765945968709 28017701788957555437 44286044763190974723 50846940283663711719 65374637507567629353 72256178297837906127 152540820850991135157 196123912522702888059 457622462552973405471 1372867387658920216413
- Sum of all divisors σ(n): 2619325355542692720000
- Sum of proper divisors (its aliquot sum) s(n): 1246457967883772503587
- 1372867387658920216413 is a deficient number, because the sum of its proper divisors (1246457967883772503587) is less than itself. Its deficiency is 126409419775147712826
Bases of 1372867387658920216413
- Binary: 100101001101100010111001011111101010000000010000110111101000111010111012
- Hexadecimal: 0x4A6C5CBF50086F475D
- Base-36: 81QEI0T6HQ0KT9
Squares and roots of 1372867387658920216413
- 1372867387658920216413 squared (13728673876589202164132) is 1884764864097427920930955497259754754586569
- 1372867387658920216413 cubed (13728673876589202164133) is 2587532215324755655368019220512779018875358879692690749823156997
-
The
square root of 1372867387658920216413 is 37052225137.7554950807 -
The
cube root of 1372867387658920216413 is 11114148.5236820691
Scales and comparisons
How big is 1372867387658920216413?- 1,372,867,387,658,920,216,413 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 1,372,867,387,658,920,216,413 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 1372867387658920216413 cubic inches would be around 926179 feet tall.
Recreational maths with 1372867387658920216413
- 1372867387658920216413 backwards is 3146120298567837682731
- The number of decimal digits it has is: 22
- The sum of 1372867387658920216413's digits is 99
- 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 1372867387658920216413 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
APA style:
Numbermatics. (2024). Number 1372867387658920216413 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/1372867387658920216413/
Chicago style:
Numbermatics. 2024. "Number 1372867387658920216413 - Facts about the integer". https://numbermatics.com/n/1372867387658920216413/
The information we have on file for 1372867387658920216413 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 1372867387658920216413, math, Factors of 1372867387658920216413, curriculum, school, college, exams, university, Prime factorization of 1372867387658920216413, STEM, science, technology, engineering, physics, economics, calculator, one sextillion, three hundred seventy-two quintillion, eight hundred sixty-seven quadrillion, three hundred eighty-seven trillion, six hundred fifty-eight billion, nine hundred twenty million, two hundred sixteen thousand, four hundred thirteen.