137372268082399949375
137,372,268,082,399,949,375 is an odd composite number composed of seven prime numbers multiplied together.
What does the number 137372268082399949375 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1620 divisors.
137372268082399949375 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, six hundred twenty divisors.
Prime factorization of 137372268082399949375:
54 × 72 × 172 × 31 × 41 × 592 × 18732
(5 × 5 × 5 × 5 × 7 × 7 × 17 × 17 × 31 × 41 × 59 × 59 × 1873 × 1873)See below for interesting mathematical facts about the number 137372268082399949375 from the Numbermatics database.
Names of 137372268082399949375
- Cardinal: 137372268082399949375 can be written as One hundred thirty-seven quintillion, three hundred seventy-two quadrillion, two hundred sixty-eight trillion, eighty-two billion, three hundred ninety-nine million, nine hundred forty-nine thousand, three hundred seventy-five.
Scientific notation
- Scientific notation: 1.37372268082399949375 × 1020
Factors of 137372268082399949375
Divisors of 137372268082399949375
- Number of divisors d(n): 1620
-
Complete list of divisors:
1 5 7 17 25 31 35 41 49 59 85 119 125 155 175 205 217 245 287 289 295 413 425 527 595 625 697 775 833 875 1003 1025 1085 1225 1271 1435 1445 1475 1519 1829 1873 2009 2023 2065 2125 2419 2635 2891 2975 3481 3485 3689 3875 4165 4375 4879 5015 5125 5425 6125 6355 7021 7175 7225 7375 7595 8897 8959 9145 9365 10045 10115 10325 10625 11849 12095 12803 13111 13175 14161 14455 14875 16933 17051 17405 17425 18445 19375 20825 21607 24367 24395 25075 25625 25823 27125 30625 31093 31775 31841 34153 35105 35875 36125 36875 37975 41123 44485 44795 45725 46825 49147 50225 50575 51625 58063 59177 59245 60475 62279 62713 64015 65555 65875 70805 72275 74375 74989 76793 82943 84665 85255 87025 87125 89621 91777 92225 104125 107911 108035 110507 118531 119357 121835 121975 125375 129115 135625 142721 151249 155465 158875 159205 170569 170765 175525 179375 180625 189875 205615 217651 222425 222887 223975 228625 234125 245735 251125 252875 258125 287861 290315 295885 296225 302375 311395 313565 320075 327775 329375 354025 361375 367319 374945 383965 406441 414239 414715 423325 426275 435125 435625 438991 448105 458885 461125 520625 524923 528581 537551 539555 540175 541297 552535 580601 592655 596785 609175 609875 626875 645575 699091 713605 755377 756245 773549 777325 794375 796025 835499 852845 853825 877625 949375 987071 999047 1006009 1028075 1058743 1088255 1112125 1114435 1119875 1143125 1170625 1228675 1255625 1264375 1274813 1305481 1439305 1451575 1479425 1481125 1511875 1523557 1556975 1560209 1567825 1600375 1638875 1770125 1806875 1834487 1836595 1874725 1878619 1919825 2015027 2032205 2071195 2073575 2116625 2131375 2175625 2194955 2240525 2294425 2305625 2380583 2426257 2571233 2624615 2642905 2687755 2697775 2700875 2706485 2762675 2845087 2899673 2903005 2963275 2983925 3045875 3049375 3227875 3425717 3495455 3508129 3568025 3674461 3700067 3762857 3776885 3781225 3789079 3867745 3886625 3980125 4177495 4264225 4269125 4388125 4424351 4530787 4893637 4935355 4995235 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202117303 202349555 206231845 206979611 216793199 218303953 222008563 223092275 223555661 228196955 228459175 229310875 229574375 234827375 241832395 246472205 251878375 254025625 258899375 267316433 274369375 283289377 288724583 291185945 297572875 298190965 303282125 312329185 319475737 319842845 321035225 321404125 328076875 328758325 330363125 335969375 338310625 355635875 362459125 362875625 376069835 385116895 407660323 416602025 417467351 419505175 424594975 428214625 436931875 438516125 449449315 449965775 459307625 460261655 462508375 470357125 472110625 473634875 483468125 522186875 526497769 539163653 541795525 543759995 553043875 554192605 554829425 566348375 583242835 587307245 594432965 599500475 611704625 613922575 616919375 624404375 628755625 647511725 660954875 661714375 663088825 676855375 687988487 702271985 719166445 758513735 761263993 774261425 775869647 776761195 779656975 792887725 796758125 798413075 814989125 815925625 822230143 839300665 856386475 859491605 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3435994151 3439942435 3511359925 3518653387 3595832225 3685484383 3774145571 3792568675 3806319965 3871307125 3879348235 3883805975 3898284875 3964438625 3992065375 4074945625 4111150715 4196503325 4281932375 4297458025 4318435625 4370830625 4401289375 4458831959 4544379361 4815919409 4915903895 4950161065 5034165115 5052932575 5058738875 5069246405 5155796125 5174490275 5309596145 5328847951 5419829975 5431087529 5437328365 5457598825 5550214075 5577306875 5588891525 5704923875 5711479375 6045809875 6161805125 6393187195 6416367941 6546987215 6682910825 6882265453 6930225491 7047831161 7074105605 7082234425 7096944967 7218114575 7244286385 7279648625 7454774125 7640638355 7808229625 7824448135 7986893425 7996071125 8025880625 8218958125 8286809423 8486164051 8950462073 9165782101 9243919915 9356075155 9401745875 9421274285 9627922375 9903747847 9915128195 10105360405 10142000939 10191508075 10415050625 10436683775 10487629375 10614874375 11236232875 11249144375 11506541375 11938623745 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38203191775 39041148125 39122240675 39934467125 39980355625 40591320733 41434047115 41567820521 42430820255 44752310365 44914575587 45828910505 46219599575 46780375775 47008729375 47106371425 48139611875 48511578437 49518739235 49575640975 49678614769 50526802025 50710004695 50957540375 52183418875 56181164375 57532706875 58007665961 58411900567 59403148357 59693118725 59817107579 61058985245 61129147825 62653234511 64160474707 64707439405 65492526085 65812221125 65948919995 67395456625 67969999375 69274075625 71340556525 72905354375 73056786425 73413405625 74304120625 75800143303 77254449137 83570366215 85482579343 85580806955 85899853775 85998560875 87783998125 87966334675 89895805625 90590415167 92137109575 92328487993 94353639275 94814216875 95157999125 96983705875 97095149375 102778767875 104912583125 107436450625 109078254997 111470798975 113609484025 116998512701 119813129737 120259795285 120397985225 122897597375 123152868545 123754026625 125854127875 126323314375 126731160125 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12262507053695 12517091975225 12890483193469 12980312344643 13249799798165 13265025078025 13519528598975 13634781874625 14310915638915 14624814087625 14655191356855 14959451385025 14976641217125 15032474410625 15394108568125 15521194049279 16764215462729 17167509875173 17523928765315 17609470023875 17646046735805 18033098608375 18549719717431 18571035109235 18927340038565 19088694624475 19507389820625 19643329819375 19881659704375 21045464174875 21069647414375 21551751995375 22361042274385 24533500271441 24653258033425 24704465430127 25246338051725 25369575458125 25950068729125 25979887825625 26724172474265 27310345748875 27500661747125 27834323586125 28071609741875 30319736523125 31049134230625 31305459184139 32178085224115 32215060903775 32883885697625 34514561246795 35344873272415 35517405641375 36254791225625 36330096220775 36371842955875 36507437854375 37126967723125 37385692236875 38500926445975 39158271569375 39300253638625 40100296691875 42558112715765 45049319313761 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164419428488125 172572806233975 172931258010889 176724366362075 177587028206875 181650481103875 181859214779375 192504632229875 196501268193125 212790563578825 219138214288973 225246596568805 225505426326425 230187199883375 231791291868625 236603567824375 248621839489625 253783538579375 254310673545425 254602900691125 255552064980625 259888774061875 261699845658125 263860298837743 297906789010355 299360990405875 306562676342375 312927299380625 315345235196327 315707596856995 322262079836725 324507808616075 331244994954125 331625626950625 337988214974375 357772890972875 366379783921375 373986284625625 380137718664545 388029851231975 417069504614497 419105386568225 429187746879325 438098219132875 441151168395125 454310932062505 463742992935775 464275877730875 473183500964125 477217365611875 532192806130363 543241791724765 547027448809955 559026056859625 586747541195515 600862845631055 613337506786025 616331450835625 617611635753175 631158451293125 668104311856625 723487916168005 760538508414671 765838428333937 782636479603475 804452130602875 805376522594375 862864031169875 864656290054445 883621831810375 908252405519375 962523161149375 1012883082635207 1063952817894125 1095691071444865 1126232982844025 1127527131632125 1150935999416875 1158956459343125 1243109197448125 1271553367727125 1273014503455625 1319301494188715 1489533945051775 1496804952029375 1532813381711875 1576726175981635 1578537984284975 1611310399183625 1622539043080375 1656224974770625 1788864454864375 1831898919606875 1847022091864201 1900688593322725 1940149256159875 2085347523072485 2095526932841125 2145938734396625 2190491095664375 2205755841975625 2271554660312525 2318714964678875 2321379388654375 2365917504820625 2660964030651815 2716208958623825 2735137244049775 2795130284298125 2933737705977575 3004314228155275 3066687533930125 3088058178765875 3340521559283125 3617439580840025 3725349642912541 3802692542073355 3829192141669685 3913182398017375 4022260653014375 4314320155849375 4323281450272225 4418109159051875 4485625080241631 5064415413176035 5319764089470625 5360868998337559 5478455357224325 5631164914220125 5637635658160625 6357766838635625 6596507470943575 7090181578446449 7447669725258875 7883630879908175 7892689921424875 8056551995918125 8112695215401875 9235110459321005 9503442966613625 9700746280799375 10426737615362425 10477634664205625 10729693671983125 11357773301562625 11593574823394375 12929154643049407 13304820153259075 13581044793119125 13675686220248875 14668688529887875 15021571140776375 15333437669650625 15440290893829375 18087197904200125 18626748214562705 19013462710366775 19145960708348425 19565911990086875 21616407251361125 22428125401208155 25322077065880175 26804344991687795 27392276786121625 28155824571100625 31399375561691417 32982537354717875 35450907892232245 37238348626294375 39418154399540875 39463449607124375 46175552296605025 47517214833068125 52133688076812125 56788866507813125 64645773215247035 66524100766295375 67905223965595625 68378431101244375 73343442649439375 75107855703881875 90435989521000625 93133741072813525 95067313551833875 95729803541742125 108082036256805625 112140627006040775 126610385329400875 134021724958438975 136961383930608125 156996877808457085 164912686773589375 177254539461161225 197090771997704375 219795628931839919 230877761483025125 260668440384060625 323228866076235175 332620503831476875 465668705364067625 475336567759169375 478649017708710625 560703135030203875 633051926647004375 670108624792194875 784984389042285425 886272697305806125 1098978144659199595 1154388807415125625 1616144330381175875 2328343526820338125 2803515675151019375 3350543123960974375 3924921945211427125 4431363486529030625 5494890723295997975 8080721651905879375 19624609726057135625 27474453616479989875 137372268082399949375
- Sum of all divisors σ(n): 228295288203824939328
- Sum of proper divisors (its aliquot sum) s(n): 90923020121424989953
- 137372268082399949375 is a deficient number, because the sum of its proper divisors (90923020121424989953) is less than itself. Its deficiency is 46449247960974959422
Bases of 137372268082399949375
- Binary: 11101110010011011000101010111111101110100010010111000110010001111112
- Hexadecimal: 0x7726C55FDD12E323F
- Base-36: SZOUCW5TQB67Z
Squares and roots of 137372268082399949375
- 137372268082399949375 squared (1373722680823999493752) is 18871140038102759864247616657002562890625
- 137372268082399949375 cubed (1373722680823999493753) is 2592371308334763523399270197628805631099210108932753662109375
-
The
square root of 137372268082399949375 is 11720591626.8079210547 -
The
cube root of 137372268082399949375 is 5159801.8382626487
Scales and comparisons
How big is 137372268082399949375?- 137,372,268,082,399,949,375 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
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To count from 1 to 137,372,268,082,399,949,375 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 137372268082399949375 cubic inches would be around 429983.5 feet tall.
Recreational maths with 137372268082399949375
- 137372268082399949375 backwards is 573949993280862273731
- The number of decimal digits it has is: 21
- The sum of 137372268082399949375's digits is 107
- More coming soon!
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The information we have on file for 137372268082399949375 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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