137792960488792908422496
137,792,960,488,792,908,422,496 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137792960488792908422496 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
137792960488792908422496 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 137792960488792908422496:
25 × 35 × 29 × 37 × 607 × 1471 × 18495654041
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 29 × 37 × 607 × 1471 × 18495654041)See below for interesting mathematical facts about the number 137792960488792908422496 from the Numbermatics database.
Names of 137792960488792908422496
- Cardinal: 137792960488792908422496 can be written as One hundred thirty-seven sextillion, seven hundred ninety-two quintillion, nine hundred sixty quadrillion, four hundred eighty-eight trillion, seven hundred ninety-two billion, nine hundred eight million, four hundred twenty-two thousand, four hundred ninety-six.
Scientific notation
- Scientific notation: 1.37792960488792908422496 × 1023
Factors of 137792960488792908422496
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 15
- Sum of prime factors: 18495656190
Divisors of 137792960488792908422496
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 37 48 54 58 72 74 81 87 96 108 111 116 144 148 162 174 216 222 232 243 261 288 296 324 333 348 432 444 464 486 522 592 607 648 666 696 783 864 888 928 972 999 1044 1073 1184 1214 1296 1332 1392 1471 1566 1776 1821 1944 1998 2088 2146 2349 2428 2592 2664 2784 2942 2997 3132 3219 3552 3642 3888 3996 4176 4292 4413 4698 4856 5328 5463 5884 5994 6264 6438 7047 7284 7776 7992 8352 8584 8826 8991 9396 9657 9712 10656 10926 11768 11988 12528 12876 13239 14094 14568 15984 16389 17168 17603 17652 17982 18792 19314 19424 21852 22459 23536 23976 25056 25752 26478 28188 28971 29136 31968 32778 34336 35206 35304 35964 37584 38628 39717 42659 43704 44918 47072 47952 49167 51504 52809 52956 54427 56376 57942 58272 65556 67377 70412 70608 71928 75168 77256 79434 85318 86913 87408 89836 95904 98334 103008 105618 105912 108854 112752 115884 119151 127977 131112 134754 140824 141216 143856 147501 154512 158427 158868 163281 170636 173826 174816 179672 196668 202131 211236 211824 217708 225504 231768 238302 255954 260739 262224 269508 281648 287712 295002 309024 316854 317736 326562 341272 347652 357453 359344 383931 393336 404262 422472 423648 435416 463536 475281 476604 489843 511908 521478 524448 539016 563296 590004 606393 633708 635472 651311 653124 682544 695304 714906 718688 767862 786672 808524 844944 870832 892897 927072 950562 953208 979686 1023816 1042956 1078032 1151793 1180008 1212786 1267416 1270944 1302622 1306248 1365088 1390608 1425843 1429812 1469529 1535724 1573344 1578383 1617048 1689888 1741664 1785794 1819179 1901124 1906416 1953933 1959372 2047632 2085912 2156064 2303586 2360016 2425572 2534832 2605244 2612496 2678691 2781216 2851686 2859624 2939058 3071448 3156766 3234096 3455379 3571588 3638358 3802248 3812832 3907866 3918744 4095264 4171824 4277529 4408587 4607172 4720032 4735149 4851144 5069664 5210488 5224992 5357382 5457537 5703372 5719248 5861799 5878116 6142896 6313532 6468192 6910758 7143176 7276716 7604496 7815732 7837488 8036073 8343648 8555058 8817174 9214344 9470298 9702288 10366137 10420976 10714764 10915074 11406744 11438496 11723598 11756232 12285792 12627064 13225761 13821516 14205447 14286352 14553432 15208992 15631464 15674976 16072146 17110116 17585397 17634348 18428688 18940596 19404576 20732274 20841952 21429528 21830148 22813488 23447196 23512464 24108219 25254128 25894013 26451522 27643032 28410894 28572704 29106864 31262928 32144292 33037189 34220232 35170794 35268696 36857376 37881192 41464548 42616341 42859056 43660296 45626976 46894392 47024928 48216438 50508256 51788026 52756191 52903044 55286064 56821788 58213728 62525856 64288584 66074378 68440464 70341588 70537392 72324657 75762384 77682039 82929096 85232682 85718112 87320592 93788784 96432876 99111567 103576052 105512382 105806088 110572128 113643576 127849023 128577168 132148756 136880928 140683176 141074784 144649314 151524768 155364078 158268573 165858192 170465364 174641184 187577568 192865752 198223134 207152104 211024764 211612176 216973971 227287152 233046117 255698046 257154336 264297512 281366352 289298628 297334701 310728156 316537146 331716384 340930728 383547069 385731504 396446268 414304208 422049528 423224352 433947942 454574304 466092234 511396092 528595024 562732704 578597256 594669402 621456312 633074292 681861456 699138351 767094138 771463008 792892536 828608416 844099056 867895884 892004103 932184468 958078481 1022792184 1057190048 1157194512 1189338804 1242912624 1266148584 1363722912 1398276702 1534188276 1585785072 1688198112 1735791768 1784008206 1864368936 1916156962 2045584368 2097415053 2314389024 2378677608 2485825248 2532297168 2676012309 2796553404 2874235443 3068376552 3171570144 3471583536 3568016412 3728737872 3832313924 4091168736 4194830106 4757355216 5064594336 5352024618 5593106808 5748470886 6136753104 6292245159 6943167072 7136032824 7457475744 7664627848 8028036927 8389660212 8622706329 9514710432 10704049236 11186213616 11496941772 12273506208 12584490318 14272065648 15329255696 16056073854 16779320424 17245412658 18495654041 21408098472 22372427232 22993883544 25168980636 25868118987 28544131296 30658511392 32112147708 33558640848 34490825316 36991308082 42816196944 45987767088 50337961272 51736237974 55486962123 64224295416 67117281696 68981650632 73982616164 77604356961 85632393888 91975534176 100675922544 103472475948 110973924246 128448590832 137963301264 147965232328 155208713922 166460886369 201351845088 206944951896 221947848492 232813070883 256897181664 275926602528 295930464656 310417427844 332921772738 413889903792 443895696984 465626141766 499382659107 536373967189 591860929312 620834855688 665843545476 684339199517 827779807584 887791393968 931252283532 998765318214 1072747934378 1241669711376 1331687090952 1368678399034 1498147977321 1609121901567 1775582787936 1862504567064 1997530636428 2053017598551 2145495868756 2483339422752 2663374181904 2737356798068 2996295954642 3218243803134 3725009134128 3995061272856 4106035197102 4290991737512 4494443931963 4827365704701 5326748363808 5474713596136 5992591909284 6159052795653 6436487606268 7450018268256 7990122545712 8212070394204 8581983475024 8988887863926 9654731409402 10949427192272 11226862002887 11985183818568 12318105591306 12872975212536 14482097114103 15980245091424 16424140788408 17163966950048 17977775727852 18477158386959 19309462818804 19845836785993 21898854384544 22453724005774 23970367637136 24636211182612 25745950425072 27207107094311 28964194228206 32848281576816 33680586008661 35955551455704 36954316773918 38618925637608 39691673571986 43446291342309 44907448011548 47940735274272 49272422365224 51491900850144 54414214188622 55431475160877 57928388456412 59537510357979 65696563153632 67361172017322 71911102911408 73908633547836 77237851275216 79383347143972 81621321282933 86892582684618 89814896023096 98544844730448 101041758025983 108828428377244 110862950321754 115856776912824 119075020715958 130338874026927 134722344034644 143822205822816 147817267095672 154475702550432 158766694287944 163242642565866 166294425482631 173785165369236 178612531073937 179629792046192 197089689460896 202083516051966 217656856754488 221725900643508 231713553825648 238150041431916 244863963848799 260677748053854 269444688069288 295634534191344 303125274077949 317533388575888 325578998083723 326485285131732 332588850965262 347570330738472 357225062147874 359259584092384 404167032103932 415393894106819 435313713508976 443451801287016 463427107651296 476300082863832 489727927697598 521355496107708 535837593221811 538889376138576 591269068382688 606250548155898 635066777151776 651157996167446 652970570263464 665177701930524 695140661476944 714450124295748 734591891546397 789006105735019 808334064207864 830787788213638 870627427017952 886903602574032 909375822233847 952600165727664 976736994251169 979455855395196 1006662962489507 1042710992215416 1071675186443622 1077778752277152 1212501096311796 1246181682320457 1302315992334892 1305941140526928 1330355403861048 1390281322953888 1428900248591496 1469183783092794 1578012211470038 1607512779665433 1616668128415728 1661575576427276 1773807205148064 1818751644467694 1905200331455328 1953473988502338 1958911710790392 2013325924979014 2085421984430832 2143350372887244 2203775674639191 2367018317205057 2425002192623592 2492363364640914 2604631984669784 2611882281053856 2660710807722096 2728127466701541 2857800497182992 2930210982753507 2938367566185588 3019988887468521 3156024422940076 3215025559330866 3233336256831456 3323151152854552 3637503288935388 3738545046961371 3906947977004676 3917823421580784 4026651849958028 4170843968861664 4286700745774488 4407551349278382 4734036634410114 4822538338996299 4850004385247184 4984726729281828 5209263969339568 5321421615444192 5456254933403082 5715600994365984 5860421965507014 5876735132371176 6039977774937042 6312048845880152 6430051118661732 6611327023917573 6646302305709104 7101054951615171 7275006577870776 7477090093922742 7813895954009352 7835646843161568 8053303699916056 8573401491548976 8790632948260521 8815102698556764 9059966662405563 9468073268820228 9645076677992598 9700008770494368 9969453458563656 10418527938679136 10912509866806164 11215635140884113 11720843931014028 11753470264742352 12046422929097751 12079955549874084 12624097691760304 12860102237323464 13222654047835146 13292604611418208 14202109903230342 14550013155741552 14954180187845484 15627791908018704 16106607399832112 16514714006246777 17146802983097952 17581265896521042 17630205397113528 18119933324811126 18936146537640456 19290153355985196 19938906917127312 21303164854845513 21825019733612328 22431270281768226 23441687862028056 23506940529484704 24092845858195502 24159911099748168 25248195383520608 25720204474646928 26371898844781563 26445308095670292 27179899987216689 28404219806460684 29100026311483104 29193225912195703 29908360375690968 31255583816037408 32213214799664224 33029428012493554 33646905422652339 35162531793042084 35260410794227056 36139268787293253 36239866649622252 37872293075280912 38580306711970392 39877813834254624 42606329709691026 43650039467224656 44862540563536452 46883375724056112 48185691716391004 48319822199496336 49544142018740331 51440408949293856 52743797689563126 52890616191340584 54359799974433378 56808439612921368 58386451824391406 59816720751381936 63909494564536539 66058856024987108 67293810845304678 70325063586084168 70520821588454112 72278537574586506 72479733299244504 75744586150561824 77160613423940784 79115696534344689 81539699961650067 85212659419382052 87300078934449312 87579677736587109 89725081127072904 93766751448112224 96371383432782008 96639644398992672 99088284037480662 100940716267957017 105487595379126252 105781232382681168 108417806361879759 108719599948866756 113616879225842736 116772903648782812 119633441502763872 127818989129073078 132117712049974216 134587621690609356 140650127172168336 144557075149173012 144959466598489008 148632426056220993 154321226847881568 158231393068689378 163079399923300134 170425318838764104 175159355473174218 179450162254145808 191728483693609617 192742766865564016 198176568074961324 201881432535914034 210975190758252504 211562464765362336 216835612723759518 217439199897733512 227233758451685472 233545807297565624 244619099884950201 255637978258146156 262739033209761327 264235424099948432 269175243381218712 281300254344336672 289114150298346024 289918933196978016 297264852112441986 316462786137378756 325253419085639277 326158799846600268 340850637677528208 350318710946348436 358900324508291616 383456967387219234 385485533731128032 396353136149922648 403762865071828068 421950381516505008 433671225447519036 434878399795467024 445897278168662979 467091614595131248 478926706181156533 489238199769900402 511275956516292312 525478066419522654 528470848199896864 538350486762437424 578228300596692048 594529704224883972 611044418231130749 632925572274757512 650506838171278554 652317599693200536 681701275355056416 700637421892696872 766913934774438468 788217099629283981 792706272299845296 807525730143656136 843900763033010016 867342450895038072 869756799590934048 891794556337325958 934183229190262496 957853412362313066 975760257256917831 978476399539800804 1022551913032584624 1050956132839045308 1076700973524874848 1156456601193384096 1189059408449767944 1222088836462261498 1265851144549515024 1301013676342557108 1304635199386401072 1337691834505988937 1401274843785393744 1436780118543469599 1533827869548876936 1576434199258567962 1585412544599690592 1615051460287312272 1734684901790076144 1783589112674651916 1833133254693392247 1915706824724626132 1951520514513835662 1956952799079601608 2045103826065169248 2101912265678090616 2364651298887851943 2378118816899535888 2444177672924522996 2531702289099030048 2602027352685114216 2609270398772802144 2675383669011977874 2802549687570787488 2873560237086939198 2927280771770753493 3067655739097753872 3152868398517135924 3230102920574624544 3469369803580152288 3567178225349303832 3666266509386784494 3831413649449252264 3903041029027671324 3913905598159203216 4013075503517966811 4203824531356181232 4310340355630408797 4729302597775703886 4756237633799071776 4888355345849045992 5204054705370228432 5350767338023955748 5499399764080176741 5747120474173878396 5854561543541506986 6135311478195507744 6305736797034271848 7093953896663555829 7134356450698607664 7332533018773568988 7662827298898504528 7806082058055342648 7827811196318406432 8026151007035933622 8407649062712362464 8620680711260817594 9458605195551407772 9776710691698091984 10408109410740456864 10701534676047911496 10998799528160353482 11494240948347756792 11709123087083013972 12611473594068543696 12931021066891226391 14187907793327111658 14268712901397215328 14665066037547137976 15325654597797009056 15612164116110685296 16052302014071867244 16498199292240530223 17241361422521635188 17720288128702791721 18917210391102815544 19553421383396183968 21403069352095822992 21997599056320706964 22988481896695513584 23418246174166027944 25222947188137087392 25862042133782452782 28375815586654223316 29330132075094275952 31224328232221370592 32104604028143734488 32996398584481060446 34482722845043270376 35440576257405583442 37834420782205631088 38793063200673679173 42806138704191645984 43995198112641413928 45976963793391027168 46836492348332055888 49494597876721590669 51724084267564905564 53160864386108375163 56751631173308446632 58660264150188551904 64209208056287468976 65992797168962120892 68965445690086540752 70881152514811166884 75668841564411262176 77586126401347358346 87990396225282827856 93672984696664111776 98989195753443181338 103448168535129811128 106321728772216750326 113503262346616893264 116379189602021037519 128418416112574937952 131985594337924241784 137930891380173081504 141762305029622333768 148483793630164772007 155172252802694716692 159482593158325125489 175980792450565655712 197978391506886362676 206896337070259622256 212643457544433500652 227006524693233786528 232758379204042075038 263971188675848483568 283524610059244667536 296967587260329544014 310344505605389433384 318965186316650250978 395956783013772725352 413792674140519244512 425286915088867001304 465516758408084150076 478447779474975376467 527942377351696967136 567049220118489335072 593935174520659088028 620689011210778866768 637930372633300501956 791913566027545450704 850573830177734002608 931033516816168300152 956895558949950752934 1187870349041318176056 1241378022421557733536 1275860745266601003912 1435343338424926129401 1583827132055090901408 1701147660355468005216 1862067033632336600304 1913791117899901505868 2375740698082636352112 2551721490533202007824 2870686676849852258802 3724134067264673200608 3827582235799803011736 4306030015274778388203 4751481396165272704224 5103442981066404015648 5741373353699704517604 7655164471599606023472 8612060030549556776406 11482746707399409035208 15310328943199212046944 17224120061099113552812 22965493414798818070416 34448240122198227105624 45930986829597636140832 68896480244396454211248 137792960488792908422496
- Sum of all divisors σ(n): 432740823428133105500160
- Sum of proper divisors (its aliquot sum) s(n): 294947862939340197077664
- 137792960488792908422496 is an abundant number, because the sum of its proper divisors (294947862939340197077664) is greater than itself. Its abundance is 157154902450547288655168
Bases of 137792960488792908422496
- Binary: 111010010110111000101011101111001001000101001111000010000110011011101011000002
- Hexadecimal: 0x1D2DC5779229E10CDD60
- Base-36: MFS6BC1BELWC600
Squares and roots of 137792960488792908422496
- 137792960488792908422496 squared (1377929604887929084224962) is 18986899960266043596007816180442561095238870016
- 137792960488792908422496 cubed (1377929604887929084224963) is 2616261156029602588088374363199074620000696276241619882248688154279936
-
The
square root of 137792960488792908422496 is 371204742007.4168562513 -
The
cube root of 137792960488792908422496 is 51650636.4106505371
Scales and comparisons
How big is 137792960488792908422496?- 137,792,960,488,792,908,422,496 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,792,960,488,792,908,422,496 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 137792960488792908422496 cubic inches would be around 4304219.7 feet tall.
Recreational maths with 137792960488792908422496
- 137792960488792908422496 backwards is 694224809297884069297731
- The number of decimal digits it has is: 24
- The sum of 137792960488792908422496's digits is 126
- More coming soon!
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"Number 137792960488792908422496 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 137792960488792908422496 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/137792960488792908422496/
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Numbermatics. 2024. "Number 137792960488792908422496 - Facts about the integer". https://numbermatics.com/n/137792960488792908422496/
The information we have on file for 137792960488792908422496 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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