137872333937601891264
137,872,333,937,601,891,264 is an even composite number composed of six prime numbers multiplied together.
What does the number 137872333937601891264 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1260 divisors.
137872333937601891264 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred sixty divisors.
Prime factorization of 137872333937601891264:
26 × 3 × 74 × 13 × 4212 × 113932
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 7 × 13 × 421 × 421 × 11393 × 11393)See below for interesting mathematical facts about the number 137872333937601891264 from the Numbermatics database.
Names of 137872333937601891264
- Cardinal: 137872333937601891264 can be written as One hundred thirty-seven quintillion, eight hundred seventy-two quadrillion, three hundred thirty-three trillion, nine hundred thirty-seven billion, six hundred one million, eight hundred ninety-one thousand, two hundred sixty-four.
Scientific notation
- Scientific notation: 1.37872333937601891264 × 1020
Factors of 137872333937601891264
Divisors of 137872333937601891264
- Number of divisors d(n): 1260
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 49 52 56 64 78 84 91 96 98 104 112 147 156 168 182 192 196 208 224 273 294 312 336 343 364 392 416 421 448 546 588 624 637 672 686 728 784 832 842 1029 1092 1176 1248 1263 1274 1344 1372 1456 1568 1684 1911 2058 2184 2352 2401 2496 2526 2548 2744 2912 2947 3136 3368 3822 4116 4368 4459 4704 4802 5052 5096 5473 5488 5824 5894 6736 7203 7644 8232 8736 8841 8918 9408 9604 10104 10192 10946 10976 11393 11788 13377 13472 14406 15288 16419 16464 17472 17682 17836 19208 20208 20384 20629 21892 21952 22786 23576 26754 26944 28812 30576 31213 32838 32928 34179 35364 35672 38311 38416 40416 40768 41258 43784 45572 47152 53508 57624 61152 61887 62426 65676 65856 68358 70728 71344 76622 76832 79751 80832 82516 87568 91144 93639 94304 107016 114933 115248 122304 123774 124852 131352 136716 141456 142688 144403 148109 153244 153664 159502 165032 175136 177241 182288 187278 188608 214032 229866 230496 239253 247548 249704 262704 268177 273432 282912 285376 288806 296218 306488 319004 330064 350272 354482 364576 374556 428064 433209 444327 459732 460992 478506 495096 499408 525408 531723 536354 546864 558257 565824 577612 592436 612976 638008 660128 708964 729152 749112 804531 856128 866418 888654 919464 957012 990192 998816 1010821 1036763 1050816 1063446 1072708 1093728 1116514 1155224 1184872 1225952 1240687 1276016 1320256 1417928 1498224 1609062 1674771 1732836 1777308 1838928 1877239 1914024 1980384 1997632 2021642 2073526 2126892 2145416 2187456 2233028 2304133 2310448 2369744 2451904 2481374 2552032 2835856 2996448 3032463 3110289 3218124 3349542 3465672 3554616 3677856 3722061 3754478 3828048 3907799 3960768 4043284 4147052 4253784 4290832 4466056 4608266 4620896 4739488 4796453 4962748 5104064 5631717 5671712 5992896 6064926 6220578 6436248 6699084 6912399 6931344 7109232 7257341 7355712 7444122 7508956 7656096 7815598 8086568 8294104 8507568 8581664 8684809 8932112 9216532 9241792 9478976 9592906 9925496 11263434 11343424 11723397 12129852 12441156 12872496 13140673 13398168 13824798 13862688 14218464 14389359 14514682 14888244 15017912 15312192 15631196 16128931 16173136 16588208 17015136 17163328 17369618 17864224 18433064 19185812 19850992 21772023 22526868 23446794 24259704 24882312 25744992 26054427 26281346 26796336 27354593 27649596 27725376 28436928 28778718 29029364 29776488 30035824 31262392 32257862 32346272 33176416 33575171 34030272 34739236 35728448 36866128 38371624 39422019 39701984 43544046 45053736 46893588 48386793 48519408 49764624 50801387 51489984 52108854 52562692 53592672 54709186 55299192 57557436 58058728 59552976 60071648 60793663 62353889 62524784 64515724 64692544 66352832 67150342 69478472 73732256 76743248 78844038 79403968 82063779 87088092 90107472 93787176 96773586 97038816 99529248 100725513 101602774 104217708 105125384 107185344 109418372 110598384 112902517 115114872 116117456 119105952 120143296 121587326 124707778 125049568 129031448 129800449 134300684 138956944 147464512 152404161 153486496 157688076 164127558 174176184 180214944 182380989 187061667 187574352 193547172 194077632 199058496 201451026 203205548 208435416 210250768 218836744 221196768 225805034 230229744 232234912 235026197 238211904 243174652 249415556 250099136 258062896 259600898 268601368 277913888 304808322 306972992 315376152 328255116 338707551 348352368 355609709 360429888 364761978 374123334 375148704 387094344 389401347 402902052 406411096 416870832 420501536 425555641 436477223 437673488 442393536 451610068 460459488 464469824 470052394 486349304 498831112 516125792 519201796 537202736 555827776 609616644 630752304 656510232 677415102 696704736 705078591 711219418 729523956 748246668 750297408 774188688 778802694 790317619 805804104 812822192 833741664 841003072 851111282 872954446 875346976 903220136 908603143 920918976 940104788 972698608 997662224 1032251584 1038403592 1066829127 1074405472 1219233288 1261504608 1276666923 1309431669 1313020464 1354830204 1393409472 1410157182 1422438836 1459047912 1496493336 1548377376 1557605388 1580635238 1611608208 1625644384 1645183379 1667483328 1687405837 1702222564 1745908892 1750693952 1806440272 1817206286 1880209576 1945397216 1995324448 2019306713 2076807184 2133658254 2148810944 2370952857 2438466576 2523009216 2553333846 2618863338 2626040928 2709660408 2725809429 2820314364 2844877672 2918095824 2992986672 3055340561 3096754752 3115210776 3161270476 3223216416 3251288768 3290366758 3374811674 3404445128 3491817784 3612880544 3634412572 3760419152 3890794432 3990648896 4038613426 4153614368 4267316508 4741905714 4876933152 4935550137 5062217511 5106667692 5237726676 5252081856 5419320816 5451618858 5532223333 5640628728 5689755344 5836191648 5985973344 6057920139 6110681122 6230421552 6322540952 6360222001 6446432832 6580733516 6749623348 6808890256 6983635568 7225761088 7268825144 7520838304 8077226852 8307228736 8534633016 9166021683 9483811428 9753866304 9871100274 10124435022 10213335384 10475453352 10838641632 10903237716 11064446666 11281257456 11379510688 11516283653 11672383296 11811840859 11971946688 12115840278 12221362244 12460843104 12645081904 12720444002 13161467032 13499246696 13617780512 13967271136 14135146991 14537650288 15041676608 16154453704 16596669999 17069266032 18332043366 18967622856 19080666003 19742200548 20248870044 20426670768 20950906704 21387383927 21677283264 21806475432 22128893332 22562514912 22759021376 23032567306 23623681718 24231680556 24442724488 24921686208 25290163808 25440888004 26250987269 26322934064 26998493392 27235561024 27934542272 28270293982 29075300576 32308907408 33193339998 34138532064 34548850959 35435522577 36664086732 37935245712 38161332006 39484401096 40497740088 40853341536 41901813408 42405440973 42774767854 43612950864 44257786664 44521554007 45125029824 46065134612 47247363436 48463361112 48885448976 50580327616 50881776008 52501974538 52645868128 53996986784 54645989029 56540587964 58150601152 64162151781 64617814816 66386679996 68277064128 69097701918 70871045154 73328173464 75870491424 76322664012 78752961807 78968802192 80995480176 81706683072 82682886013 83803626816 84810881946 85549535708 87225901728 88515573328 89043108014 92130269224 94494726872 96926722224 97770897952 98946028937 101763552016 105003949076 105291736256 107993973568 109291978058 113081175928 128324303562 129235629632 132773359992 133564662021 138195403836 141742090308 146656346928 149711687489 151740982848 152645328024 157505923614 157937604384 161990960352 163937967087 165365772026 169621763892 171099071416 174451803456 177031146656 178086216028 183756910883 184260538448 188989453744 193853444448 195541795904 197892057874 203527104032 210007898152 218583956116 226162351856 248048658039 256648607124 265546719984 267129324042 276390807672 283484180616 293312693856 296838086811 299423374978 305290656048 311650878049 315011847228 315875208768 323981920704 327875934174 330731544052 339243527784 342198142832 354062293312 356172432056 367513821766 368521076896 377978907488 382521923203 387706888896 395784115748 407054208064 420015796304 437167912232 449135062467 452324703712 496097316078 513297214248 531093439968 534258648084 551270732649 552781615344 566968361232 578780202091 586625387712 593676173622 598846749956 610581312096 623301756098 630023694456 655751868348 661463088104 678487055568 684396285664 692622202559 710397857377 712344864112 735027643532 737042153792 755957814976 765043846406 791568231496 840031592608 874335824464 898270124934 904649407424 934952634147 992194632156 1026594428496 1062186879936 1068517296168 1102541465298 1105563230688 1133936722464 1147565769609 1157560404182 1187352347244 1197693499912 1221162624192 1246603512196 1260047388912 1286298376181 1311503736696 1322926176208 1356974111136 1368792571328 1385244405118 1420795714754 1424689728224 1470055287064 1530087692812 1583136462992 1680063185216 1736340606273 1748671648928 1796540249868 1869905268294 1984389264312 2053188856992 2077866607677 2131193572131 2137034592336 2205082930596 2211126461376 2267873444928 2295131539218 2315120808364 2374704694488 2395386999824 2493207024392 2520094777824 2572596752362 2623007473392 2645852352416 2677653462421 2713948222272 2770488810236 2841591429508 2849379456448 2940110574128 3060175385624 3166272925984 3472681212546 3497343297856 3593080499736 3739810536588 3858895128543 3968778528624 4051461414637 4106377713984 4155733215354 4262387144262 4274069184672 4410165861192 4590263078436 4630241616728 4749409388976 4790773999648 4848355417913 4972785001639 4986414048784 5040189555648 5145193504724 5246014946784 5291704704832 5355306924842 5540977620472 5683182859016 5880221148256 6120350771248 6332545851968 6945362425092 7186160999472 7479621073176 7717790257086 7937557057248 8032960387263 8102922829274 8311466430708 8524774288524 8548138369344 8820331722384 9004088633267 9180526156872 9260483233456 9498818777952 9581547999296 9696710835826 9945570003278 9972828097568 10290387009448 10492029893568 10710613849684 11081955240944 11366365718032 11760442296512 12154384243911 12240701542496 13890724850184 14372321998944 14545066253739 14918355004917 14959242146352 15435580514172 15875114114496 16065920774526 16205845658548 16622932861416 17049548577048 17640663444768 18008177266534 18361052313744 18520966466912 18743574236947 18997637555904 19393421671652 19891140006556 19945656195136 20580774018896 21421227699368 22163910481888 22732731436064 23005961381209 24308768487822 24481403084992 27012265899801 27781449700368 28744643997888 29090132507478 29836710009834 29918484292704 30871161028344 32131841549052 32411691317096 33245865722832 34099097154096 34809495011473 35281326889536 36016354533068 36722104627488 37041932933824 37487148473894 38786843343304 39782280013112 41161548037792 42842455398736 44327820963776 45465462872128 46011922762418 48617536975644 54024531799602 55562899400736 56230722710841 58180265014956 59673420019668 59836968585408 61742322056688 63028620432869 64263683098104 64823382634192 66491731445664 68198194308192 69017884143627 69618990022946 72032709066136 73444209254976 74974296947788 77573686686608 79564560026224 82323096075584 85684910797472 92023845524836 97235073951288 104428485034419 108049063599204 111125798801472 112461445421682 116360530029912 119346840039336 123484644113376 126057240865738 128527366196208 129646765268384 131205019658629 132983462891328 136396388616384 138035768287254 139237980045892 144065418132272 149948593895576 155147373373216 159129120052448 161041729668463 171369821594944 184047691049672 189085861298607 194470147902576 208856970068838 216098127198408 224922890843364 232721060059824 238693680078672 243666465080311 246969288226752 252114481731476 257054732392416 259293530536768 262410039317258 276071536574508 278475960091784 288130836264544 299077497955717 299897187791152 310294746746432 318258240104896 322083459336926 368095382099344 378171722597214 388940295805152 393615058975887 417713940137676 432196254396816 449845781686728 465442120119648 477387360157344 483125189005389 487332930160622 504228963462952 514109464784832 524820078634516 552143073149016 556951920183568 576261672529088 598154995911434 599794375582304 644166918673852 730999395240933 736190764198688 756343445194428 777880591610304 787230117951774 835427880275352 864392508793632 897232493867151 899691563373456 930884240239296 954774720314688 966250378010778 974665860321244 1008457926925904 1049640157269032 1104286146298032 1113903840367136 1127292107679241 1196309991822868 1199588751164608 1288333837347704 1461998790481866 1472381528397376 1512686890388856 1574460235903548 1670855760550704 1705665255562177 1728785017587264 1794464987734302 1799383126746912 1932500756021556 1949331720642488 2016915853851808 2093542485690019 2099280314538064 2208572292596064 2227807680734272 2254584215358482 2392619983645736 2576667674695408 2923997580963732 3025373780777712 3148920471807096 3341711521101408 3381876323037723 3411330511124354 3588929975468604 3598766253493824 3865001512043112 3898663441284976 4033831707703616 4187084971380038 4198560629076128 4417144585192128 4509168430716964 4785239967291472 5116995766686531 5153335349390816 5847995161927464 6050747561555424 6280627457070057 6297840943614192 6683423042202816 6763752646075446 6822661022248708 7177859950937208 7730003024086224 7797326882569952 7891044753754687 8374169942760076 8397121258152256 9018336861433928 9570479934582944 10233991533373062 10306670698781632 11695990323854928 12101495123110848 12561254914140114 12595681887228384 13527505292150892 13645322044497416 14355719901874416 14654797399830133 15460006048172448 15594653765139904 15782089507509374 16748339885520152 18036673722867856 19140959869165888 20467983066746124 23391980647709856 23673134261264061 25122509828280228 25191363774456768 27055010584301784 27290644088994832 28711439803748832 29309594799660266 30920012096344896 31564179015018748 33496679771040304 36073347445735712 40935966133492248 43964392199490399 46783961295419712 47346268522528122 50245019656560456 54110021168603568 54581288177989664 55237313276282809 57422879607497664 58619189599320532 63128358030037496 66993359542080608 72146694891471424 81871932266984496 87928784398980798 94692537045056244 100490039313120912 102583581798810931 108220042337207136 109162576355979328 110474626552565618 117238379198641064 126256716060074992 133986719084161216 163743864533968992 165711939828848427 175857568797961596 189385074090112488 200980078626241824 205167163597621862 216440084674414272 220949253105131236 234476758397282128 252513432120149984 307750745396432793 327487729067937984 331423879657696854 351715137595923192 378770148180224976 401960157252483648 410334327195243724 441898506210262472 468953516794564256 505026864240299968 615501490792865586 662847759315393708 703430275191846384 718085072591676517 757540296360449952 820668654390487448 883797012420524944 937907033589128512 1231002981585731172 1325695518630787416 1406860550383692768 1436170145183353034 1515080592720899904 1641337308780974896 1767594024841049888 2154255217775029551 2462005963171462344 2651391037261574832 2813721100767385536 2872340290366706068 3282674617561949792 3535188049682099776 4308510435550059102 4924011926342924688 5302782074523149664 5744680580733412136 6565349235123899584 8617020871100118204 9848023852685849376 10605564149046299328 11489361161466824272 17234041742200236408 19696047705371698752 22978722322933648544 34468083484400472816 45957444645867297088 68936166968800945632 137872333937601891264
- Sum of all divisors σ(n): 459426629027308871208
- Sum of proper divisors (its aliquot sum) s(n): 321554295089706979944
- 137872333937601891264 is an abundant number, because the sum of its proper divisors (321554295089706979944) is greater than itself. Its abundance is 183681961152105088680
Bases of 137872333937601891264
- Binary: 11101111001010111001110110100111100110000001100101101001011110000002
- Hexadecimal: 0x7795CED3CC0CB4BC0
- Base-36: T3HM7G0ABS1XC
Squares and roots of 137872333937601891264
- 137872333937601891264 squared (1378723339376018912642) is 19008780465401610226657304325829679517696
- 137872333937601891264 cubed (1378723339376018912643) is 2620784928072414298888629204717982320444978306502772955807744
-
The
square root of 137872333937601891264 is 11741905038.6895009697 -
The
cube root of 137872333937601891264 is 5166055.2016874557
Scales and comparisons
How big is 137872333937601891264?- 137,872,333,937,601,891,264 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,872,333,937,601,891,264 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 137872333937601891264 cubic inches would be around 430504.6 feet tall.
Recreational maths with 137872333937601891264
- 137872333937601891264 backwards is 462198106739333278731
- The number of decimal digits it has is: 21
- The sum of 137872333937601891264's digits is 93
- More coming soon!
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"Number 137872333937601891264 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 137872333937601891264 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/137872333937601891264/
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Numbermatics. 2024. "Number 137872333937601891264 - Facts about the integer". https://numbermatics.com/n/137872333937601891264/
The information we have on file for 137872333937601891264 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!
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