320344748273009595954
320,344,748,273,009,595,954 is an even composite number composed of seven prime numbers multiplied together.
320344748273009595954 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 320344748273009595954:
2 × 3 × 72 × 132 × 313 × 472 × 4613
(2 × 3 × 7 × 7 × 13 × 13 × 31 × 31 × 31 × 47 × 47 × 461 × 461 × 461)See below for interesting mathematical facts about the number 320344748273009595954 from the Numbermatics database.
Names of 320344748273009595954
- Cardinal: 320344748273009595954 can be written as Three hundred twenty quintillion, three hundred forty-four quadrillion, seven hundred forty-eight trillion, two hundred seventy-three billion, nine million, five hundred ninety-five thousand, nine hundred fifty-four.
Scientific notation
- Scientific notation: 3.20344748273009595954 × 1020
Factors of 320344748273009595954
Divisors of 320344748273009595954
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 6 7 13 14 21 26 31 39 42 47 49 62 78 91 93 94 98 141 147 169 182 186 217 273 282 294 329 338 403 434 461 507 546 611 637 651 658 806 922 961 987 1014 1183 1209 1222 1274 1302 1383 1457 1519 1833 1911 1922 1974 2209 2303 2366 2418 2766 2821 2883 2914 3038 3227 3549 3666 3822 4277 4371 4418 4557 4606 5239 5642 5766 5993 6454 6627 6727 6909 7098 7943 8281 8463 8554 8742 9114 9681 10199 10478 11986 12493 12831 13254 13454 13818 14291 15463 15717 15886 16562 16926 17979 18941 19362 19747 20181 20398 21667 22589 23829 24843 24986 25662 28582 28717 29791 29939 30597 30926 31434 35958 36673 37479 37882 39494 40362 41951 42873 43334 45167 45178 46389 47089 47658 49686 55601 56823 57434 59241 59582 59878 61194 65001 67767 68479 71393 73346 74958 77909 83902 85746 86151 87451 89373 89817 90334 92778 94178 100037 108241 110019 111202 113646 118482 125853 130002 132587 135501 135534 136958 141267 142786 151669 155818 162409 166803 172302 174902 178746 179634 185783 200074 201019 205437 208537 212521 214179 216482 220038 233727 246233 251706 256711 262353 265174 271002 281671 282534 293657 300111 303338 316169 324723 324818 333606 371566 373321 387283 389207 397761 402038 410874 417074 425042 428358 443021 455007 467454 479353 487227 492466 513422 524706 545363 557349 563342 587171 587314 600222 603057 612157 625611 632338 637563 649446 671677 700259 738699 746642 770133 774566 778414 795522 845013 880971 886042 890227 910014 928109 948507 958706 974454 1018349 1061683 1090726 1114698 1119963 1136863 1161849 1167621 1174342 1206114 1224314 1251222 1275126 1300481 1329063 1343354 1400177 1400518 1407133 1438059 1459759 1477398 1487647 1540266 1636089 1690026 1723631 1761513 1761942 1780454 1836471 1856218 1897014 1971697 2015031 2036698 2100777 2122849 2123366 2213183 2239926 2273726 2323698 2335242 2415179 2600962 2613247 2658126 2670681 2710981 2762773 2784327 2800354 2814266 2876118 2919518 2975294 3055047 3101147 3185049 3272178 3355471 3410589 3447262 3523026 3661723 3672942 3817541 3901443 3943394 4030062 4110197 4200531 4201554 4221399 4245698 4379277 4426366 4462941 4701739 4830358 5034679 5170893 5226494 5341362 5421962 5525546 5568654 5759273 5915091 6110094 6202294 6231589 6368547 6370098 6588151 6639549 6710942 6821178 7128443 7245537 7323446 7633223 7635082 7802886 7839741 7958041 8132943 8220394 8288319 8401062 8442798 8731801 8758554 8925882 9103367 9303441 9403478 9801239 9988487 10066413 10069358 10341786 10413529 10985169 11452623 11518546 11572951 11830182 12065417 12330591 12463178 12737094 13176302 13238537 13279098 13733651 13801879 14105217 14256886 14491074 14859943 15104037 15266446 15679482 15916082 16265886 16576638 16906253 17277819 17463602 18202301 18206734 18292729 18606882 18694767 18976867 19339411 19602478 19764453 19976974 20132826 20821987 20827058 21385329 21708029 21970338 22899669 22905246 23145902 23874123 24130834 24661182 25632061 26195403 26477074 27310101 27467302 27597037 27603758 28210434 28771379 29403717 29719886 29965461 30208074 31240587 31568819 32912173 33812506 34555638 34718853 35242753 35916049 36196251 36404602 36585458 37389534 37953734 38678822 39528906 39715611 40314911 41200953 41405637 41643974 42770658 43416058 43621123 44579829 45799338 46117057 47748246 49899101 50718759 51264122 52390806 53432561 54606903 54620202 54878187 55194074 56930601 57542758 58018233 58807434 59930922 61122607 62465961 62481174 63137638 65124087 65808319 65824346 68608673 69437706 69919409 70485506 71832098 72392502 74870549 76896183 79431222 80629822 81010657 82401906 82791111 82811274 85645963 86314137 87242246 89159658 92234114 92669759 94706457 96135557 97972181 98736519 99798202 101437518 104019601 105728259 106865122 107748147 109213806 109756374 113513413 113861202 116036466 118343771 120944733 122245214 124931922 127416107 129850331 130248174 130863369 131616638 135375877 137217346 138351171 139838818 145753909 149697303 149741098 153792366 160297683 162021314 165582222 171291926 172100981 172628274 178537463 179424427 183367821 185339518 189412914 192271114 193179259 195944362 197424957 197473038 204232681 205826019 208039202 209758227 211456518 215496294 220981733 224611647 227026826 236629913 236687542 241889466 243031971 246699271 251412343 254832214 256937889 259700662 261726738 270685831 270751754 276702342 278009277 282204377 288406671 291507818 293916543 299394606 309643097 312058803 320595366 322819399 340540239 344201962 355031313 357074926 358761481 358848854 366735642 374027927 382248321 386358518 389550993 394849914 406127631 408465362 410394647 411652038 419516454 427858249 437261727 441963466 449223294 460658233 469458889 473259826 486063942 489435863 493398542 502824686 513875778 516302943 524093843 535612389 538273281 541371662 556018554 564408754 567074599 576813342 579537777 587833086 599521741 612698043 619286194 624117606 645481597 645638798 648688313 662945199 672948899 681080478 685805267 709889739 710062626 717522962 740097813 748055854 754237029 764496642 779101986 794593891 812057493 812255262 820789294 846613131 855508147 855716498 874523454 891912749 908952317 921316466 928929291 938917778 968458197 978633389 978871726 1020277363 1032605886 1048187686 1071224778 1076284443 1076546562 1113397519 1122083781 1134149198 1159075554 1199043482 1204706867 1225396086 1231183941 1249762241 1273638353 1283574747 1290963194 1297376626 1325890398 1345897798 1352254813 1371610534 1381974699 1408376667 1419779478 1429628767 1468307589 1480195626 1508474058 1546872131 1572281529 1589187782 1624114986 1656409391 1688054303 1693226262 1701223797 1711016294 1759886401 1783825498 1798565223 1817904634 1857858582 1894800817 1936444791 1936916394 1946064939 1957266778 2018846697 2040554726 2057415801 2152568886 2167501679 2226795038 2244167562 2320987019 2383781673 2409413734 2462367882 2499524482 2511330367 2547276706 2566524441 2567149494 2655024853 2675738247 2704509626 2726856951 2763949398 2816753334 2859257534 2872762529 2935900167 2936615178 3037137611 3060832089 3093744262 3144563058 3224607631 3286212223 3312818782 3340192557 3376108606 3402447594 3518915803 3519772802 3597130446 3614120601 3668656901 3749286723 3789601634 3820915059 3872889582 3892129878 4025360261 4037693394 4056764439 4114831602 4196652187 4288886301 4335003358 4518371179 4604692507 4640616393 4641974038 4767563346 4800636869 4969228173 5022660734 5064162909 5133048882 5279659203 5310049706 5335130411 5351476494 5453713902 5562157237 5684402451 5745525058 5871800334 5988557029 6074275222 6102965557 6121664178 6331213111 6362666219 6449215262 6502505037 6572424446 6680385114 6850433723 6962961057 7037831606 7228241202 7337313802 7498573446 7533991101 7641830118 7793782633 7965074559 8050720522 8113528878 8391260761 8393304374 8432948069 8577772602 8618287587 8748335687 8915468471 9036742358 9111412833 9209385014 9281232786 9598936007 9601273738 9673822893 9858636669 9938456346 10007401369 10128325818 10556747409 10559318406 10670260822 11005970703 11121605911 11124314474 11368804902 11594865737 11816380121 11977114058 12076080783 12205931114 12589956561 12662426222 12722234057 12725332438 13005010074 13263605719 13555113537 13700867446 13814077521 13925922114 14401910607 14553225559 15067982202 15172511753 15587565266 15930149118 16005391233 16246909133 16557298589 16686471711 16782521522 16865896138 17236575174 17496671374 17579312569 17830936942 17965671087 18222825666 18308896671 18585173971 18993639333 19087998657 19197872014 19347645786 19717273338 20014802738 20109337703 20551301169 21113494818 21259963277 22011941406 22243211822 23003485561 23189731474 23381347899 23632760242 24152161566 24632410621 25173782283 25179913122 25298844207 25444468114 26245007061 26527211438 26746405413 27110227074 27628155042 28177521827 28796808021 28803821214 29106451118 30022204107 30337635059 30345023506 31628598253 32010782466 32232847549 32493818266 33114597178 33364817733 33372943422 34515323089 34784597211 35158625138 35449140363 35931342174 36617793342 37170347942 37345912877 37987278666 38166702171 38175997314 39482788943 39790817157 40218675406 41102602338 41919899203 42519926554 42720758899 43659676677 44318491777 45517535259 46006971122 46762695798 47953036061 48740727399 49264821242 49671895767 50347564566 50597688414 52329683393 52490014122 52737937707 53492810826 54556478431 55755521913 56355043654 57593616042 58738825327 59861002591 60044408214 60328013109 60675270118 62408279297 63257196506 63779889831 64465695098 66729635466 67192552049 69010456683 69030646178 69569194422 70898280726 73897231863 74691825754 76333404342 77851241377 78965577886 79338552241 79581634314 82305770443 82714660847 83839798406 84532565481 85441517798 87319353354 88636983554 89055638399 91012905177 91035070518 94151265941 94885794759 95906072122 96698542647 97481454798 99343791534 101872578913 103545969267 104659366786 105475875414 109086389893 109112956862 111511043826 112037738631 113728363931 115901090123 117477650654 118448366829 119722005182 120656026218 124786168091 124816558594 125759697609 127559779662 128162276697 130096217797 132955475331 134385104098 138020913366 142745467717 143859108183 147794463726 148819742939 155702482754 156989050179 158677104482 163669435293 164611540886 165389042741 165429321694 169065130962 172426874347 176216475981 178111276798 179583007773 182025810354 187224837891 188302531882 189191932267 189771589518 193397085294 197242652789 201577656147 203745157826 207091938534 212363445413 216420547829 218172779786 224075477262 225629932843 227456727862 231802180246 233553724131 236896733658 238015656723 241607261623 246917311329 248143982541 249572336182 251519395218 256324553394 260192435594 261421390139 265910950662 267166915197 276379522601 282453797823 285490935434 287718216366 297567016217 297639485878 299045312293 305617736739 310229442439 313978100358 327259169679 327338870586 330778085482 341185091793 344853748694 347703270369 352432951962 359166015546 366307783751 374358504273 374449675782 378383864534 390288653391 394389255767 394485305578 403155312294 411171777289 419027018137 424726890826 428236403151 432841095658 446459228817 451149992329 451259865686 467107448262 470347864343 476031313446 483214523246 493834622658 496167128223 496287965082 513276256259 517280623041 522842780278 534333830394 544958689639 552759045202 555369865687 564907595646 567575796801 576140393101 591727958367 595134032434 598090624586 611235473478 620458884878 623389468793 637090336239 649261643487 654518339358 659058861587 676889798529 682370183586 695406540738 713108052391 724821784869 732615567502 748717008546 763604729251 778193033683 780577306782 784264170417 788778511534 811307630861 822343554578 829138567803 838054036274 856472806302 873503176637 892701048651 892918457634 897135936879 902299984658 930688327317 940695728686 992334256446 999218274019 1026552512518 1034561246082 1069975015759 1089917379278 1098923351253 1110739731374 1135151593602 1152280786202 1157723299187 1183167767301 1183455916734 1223966457233 1233515331867 1246778937586 1257081054411 1274180672478 1298523286974 1318117723174 1324343525869 1353449976987 1353779597058 1411043593029 1426216104782 1449643569738 1486544117891 1514943834803 1527209458502 1539828768777 1556386067366 1568528340834 1622220185183 1622615261722 1634876068917 1658277135606 1666109597061 1691250831361 1728421179303 1747006353274 1785402097302 1794271873758 1855691080321 1861376654634 1870168406379 1934656658207 1977176584761 1998436548038 2082969113519 2139324157173 2139950031518 2197846702506 2290814187753 2315446598374 2334579101049 2366335534602 2433922892583 2447932914466 2459495119471 2467030663734 2514162108822 2564154486257 2620509529911 2648687051738 2706899953974 2760724790369 2813467121777 2822087186058 2918689244171 2933189126959 2973088235782 2997654822057 3029887669606 3079657537554 3158049946303 3209925047277 3244440370366 3269752137834 3332219194122 3382501662722 3456842358606 3473169897561 3592933793813 3671899371699 3711382160642 3740336812758 3868371210821 3869313316414 3887589059809 3954353169522 3973030577607 4032982751707 4165938227038 4278648314346 4425109499227 4459632353673 4544831504409 4581628375506 4613412031109 4669158202098 4866660555549 4867845785166 4918990238942 5073752494083 5127060324971 5128308972514 5241019059822 5345233104757 5447351235781 5521449580738 5567073240963 5626934243554 5803969974621 5837378488342 5864949900277 5866378253918 5995309644114 6114522236459 6248907340557 6316099892606 6419850094554 6709036982699 6946339795122 6994527918133 7185867587626 7343798743398 7378485358413 7489825110313 7692463458771 7736742421642 7775178119618 7946061155214 8065965503414 8104063094309 8282174371107 8440401365331 8567765200631 8756067732513 8799567380877 8850218998454 8919264707346 9089663008818 9226824062218 9270404681083 9474149838909 9733321111098 10147504988166 10254120649942 10604606843621 10690466209514 10778801381439 10894702471562 11134146481926 11355541296281 11605113632463 11607939949242 11662767179427 11729899800554 12098948255121 12229044472918 12497814681114 12989837562247 13275328497681 13418073965398 13840236093327 13985649762199 13989055836266 14580783794633 14756970716826 14979650220626 15381180974913 15384926917542 15911563944029 16035699314271 16208126188618 16342053707343 16564348742214 16880802730662 17135530401262 17216465836297 17512135465026 17594849700831 17599134761754 18343566709377 18540809362166 18948299677818 19325073532583 19694269852439 20127110948097 20430824709197 20983583754399 21209213687242 21557602762878 22106349624121 22469475330939 22711082592562 23210227264926 23325534358854 24123984044173 24197896510242 24312189282927 25150536556691 25703295601893 25979675124494 26550656995362 27078598475747 27680472186654 27811214043249 27971299524398 29161567589266 30762361949826 30975766494589 31813820530863 31823127888058 32071398628542 32684107414686 34066623888843 34432931672594 35189699401662 35889422274797 36575072583101 36687133418754 37942960174223 38131458650467 38650147065166 38969512686741 39388539704878 40254221896194 40861649418394 41054649301939 41956949286597 41967167508798 43742351383899 44212699248242 44938950661878 46963258878893 47734691832087 48247968088346 48624378565854 50288825740673 50301073113382 51406591203786 51649397508891 52428775772191 54157196951494 55622428086498 57526423489951 57975220597749 59082809557317 59974356404417 61292474127591 61951532989178 63627641061726 66319048872363 68133247777686 71778844549594 72371952132519 73150145166202 75451609670073 75885920348446 76244348703601 76262917300934 77939025373482 79488789073967 81235795427241 82109298603878 83913898573194 87217480775087 87484702767798 90928862935729 92927299483767 93926517757786 95469383664174 97899548335393 100577651481346 103298795017782 104857551544382 107668266824391 109725217749303 111380947608203 113828880522669 114394375951401 115052846979902 115950441195498 118165619114634 119948712808834 120515260854079 122584948255182 123163947905817 132638097744726 137178394476037 137859888967073 140889776636679 143015772964379 144743904265038 150866477222019 150903219340146 152488697407202 157286327316573 158977578147934 162471590854482 168867888309211 172579270469853 174434961550174 179923069213251 181813446908587 181857725871458 185854598967534 189550189330229 195799096670786 207980146463669 215336533648782 216830365462123 219450435498606 222761895216406 227657761045338 228733046110803 228788751902802 238466367221901 241030521708158 246327895811634 251225955923579 256025508081707 261652442325261 265600721219561 272786588807187 274356788952074 275719777934146 281779553273358 286031545928758 287382545113573 293698645006179 301732954444038 314572654633146 328742812152251 334142842824609 337735776618422 345158540939706 352021780184711 359846138426502 361545782562237 363626893817174 379100378660458 402684964429657 411535183428111 413579666901219 415960292927338 429047318893137 433660730924246 457466092221606 476932734443802 493258482264899 502451911847158 506603664927633 512051016163414 523304884650522 531201442439122 533710440925207 545440340725761 545573177614374 568650567990687 574765090227146 587397290012358 610522365425609 623940439391007 650491096386369 657485624304502 668285685649218 685296838347751 704043560369422 723091565124474 747843505369363 753677867770737 768076524245121 779666633257421 796802163658683 805369928859314 823070366856222 827159333802438 858094637786274 862147635340719 960248761332259 986228436456753 986516964529798 1013207329855266 1056065340554133 1067420881850414 1090880681451522 1133827250076131 1137301135981374 1182075218164477 1208054893288971 1221044730851218 1247880878782014 1272694128360109 1300982192772738 1370593676695502 1455861025245683 1479775446794697 1495687010738726 1507355735541474 1536153048490242 1559333266514842 1593604327317366 1601131322775621 1724295270681438 1783319128188481 1792178556571949 1831567096276827 1859205048536927 1920497522664518 1972456872913506 2055890515043253 2112130681108266 2243530516108089 2267654500152262 2338999899772263 2363574809811631 2364150436328954 2416109786577942 2464152461292977 2545388256720218 2703741904027697 2818794751007599 2880746283996777 2911722050491366 2959550893589394 3202262645551242 3401481750228393 3452809375854293 3546225654493431 3566638256376962 3584357113143898 3663134192553654 3718410097073854 3735973086476449 3818082385080327 4111781030086506 4273656557979263 4367583075737049 4487061032216178 4677999799544526 4727149619623262 4928304922585954 5234904537585541 5349957384565443 5376535669715847 5407483808055394 5577615145610781 5637589502015198 5761492567993554 6447384540373739 6721741329325813 6802963500456786 6905618751708586 7090724429434893 7092451308986862 7392457383878931 7471946172952898 7636164770160654 7936790750532917 8111225712083091 8456384253022797 8547313115958526 8735166151474098 8908858898520763 10191027176719781 10358428127562879 10469809075171082 10699914769130886 10753071339431694 11155230291221562 11207919259429347 12483233897319367 12820969673937789 12894769080747478 13443482658651626 14181448858869786 14784914767757862 15704713612756623 15873581501065834 16222451424166182 16545023668681417 16912768506045594 17817717797041526 18926193328193879 19342153621121217 20165223987977439 20382054353439562 20716856255125758 22415838518858694 23183148666450253 23810372251598751 24169665630980051 24966467794638734 25641939347875578 26726576695562289 30573081530159343 31409427225513246 33090047337362834 35148644752360061 36644331763098787 37449701691958101 37852386656387758 38684307242242434 40330447975954878 45131691782616173 46366297332900506 47620744503197502 48339331261960102 49635071006044251 53453153391124578 55557535253730419 56778579984581637 61146163060318686 69549445999350759 70297289504720122 72508996892940153 73288663526197574 74899403383916202 83815999024858607 87382637281235569 90263383565232346 99270142012088502 105445934257080183 109932995289296361 111115070507460838 113557159969163274 115815165680769919 132483353297357153 135395075347848519 139098891998701518 145017993785880306 162282040665151771 166672605761191257 167631998049717214 174765274562471138 210891868514160366 219865990578592722 231630331361539838 246040513266520427 251447997074575821 262147911843706707 264966706594714306 270790150695697038 315921842478313211 324564081330303542 333345211522382514 347445497042309757 397450059892071459 486846121995455313 492081026533040854 502895994149151642 524295823687413414 586711993174010249 631843684956626422 694890994084619514 738121539799561281 794900119784142918 947765527434939633 973692243990910626 1089607987323161891 1135974284656062397 1173423986348020498 1476243079599122562 1722283592865642989 1760135979522030747 1895531054869879266 2179215974646323782 2271948569312124794 3268823961969485673 3407922853968187191 3444567185731285978 3520271959044061494 4106983952218071743 5166850778596928967 6537647923938971346 6815845707936374382 7627255911262133237 8213967904436143486 10333701557193857934 12320951856654215229 15254511822524266474 22881767733786399711 24641903713308430458 45763535467572799422 53390791378834932659 106781582757669865318 160172374136504797977 320344748273009595954
- Sum of all divisors σ(n): 853905224536417557504
- Sum of proper divisors (its aliquot sum) s(n): 533560476263407961550
- 320344748273009595954 is an abundant number, because the sum of its proper divisors (533560476263407961550) is greater than itself. Its abundance is 213215727990398365596
Bases of 320344748273009595954
- Binary: 1000101011101101011010010101101001011100010101010101010010110001100102
- Hexadecimal: 0x115DAD2B4B8AAA9632
- Base-36: 1VLTUNWHIM07XU
Squares and roots of 320344748273009595954
- 320344748273009595954 squared (3203447482730095959542) is 102620757746097884509466138666966333170116
- 320344748273009595954 cubed (3203447482730095959543) is 32874020807759226405273532975865891929577865936462317107310664
-
The
square root of 320344748273009595954 is 17898177233.2550555721 -
The
cube root of 320344748273009595954 is 6842359.2020405101
Scales and comparisons
How big is 320344748273009595954?- 320,344,748,273,009,595,954 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 320,344,748,273,009,595,954 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 320344748273009595954 cubic inches would be around 570196.6 feet tall.
Recreational maths with 320344748273009595954
- 320344748273009595954 backwards is 459595900372847443023
- 320344748273009595954 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 320344748273009595954's digits is 93
- 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 320344748273009595954 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
APA style:
Numbermatics. (2024). Number 320344748273009595954 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/320344748273009595954/
Chicago style:
Numbermatics. 2024. "Number 320344748273009595954 - Facts about the integer". https://numbermatics.com/n/320344748273009595954/
The information we have on file for 320344748273009595954 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 320344748273009595954, math, Factors of 320344748273009595954, curriculum, school, college, exams, university, Prime factorization of 320344748273009595954, STEM, science, technology, engineering, physics, economics, calculator, three hundred twenty quintillion, three hundred forty-four quadrillion, seven hundred forty-eight trillion, two hundred seventy-three billion, nine million, five hundred ninety-five thousand, nine hundred fifty-four.