137431396095381504
137,431,396,095,381,504 is an even composite number composed of five prime numbers multiplied together.
What does the number 137431396095381504 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1248 divisors.
137431396095381504 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred forty-eight divisors.
Prime factorization of 137431396095381504:
212 × 33 × 612 × 97 × 1513
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 61 × 61 × 97 × 151 × 151 × 151)See below for interesting mathematical facts about the number 137431396095381504 from the Numbermatics database.
Names of 137431396095381504
- Cardinal: 137431396095381504 can be written as One hundred thirty-seven quadrillion, four hundred thirty-one trillion, three hundred ninety-six billion, ninety-five million, three hundred eighty-one thousand, five hundred four.
Scientific notation
- Scientific notation: 1.37431396095381504 × 1017
Factors of 137431396095381504
Divisors of 137431396095381504
- Number of divisors d(n): 1248
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 64 72 96 97 108 122 128 144 151 183 192 194 216 244 256 288 291 302 366 384 388 432 453 488 512 549 576 582 604 732 768 776 864 873 906 976 1024 1098 1152 1164 1208 1359 1464 1536 1552 1647 1728 1746 1812 1952 2048 2196 2304 2328 2416 2619 2718 2928 3072 3104 3294 3456 3492 3624 3721 3904 4077 4096 4392 4608 4656 4832 5238 5436 5856 5917 6144 6208 6588 6912 6984 7248 7442 7808 8154 8784 9211 9216 9312 9664 10476 10872 11163 11712 11834 12288 12416 13176 13824 13968 14496 14647 14884 15616 16308 17568 17751 18422 18432 18624 19328 20952 21744 22326 22801 23424 23668 24832 26352 27633 27648 27936 28992 29294 29768 31232 32616 33489 35136 35502 36844 36864 37248 38656 41904 43488 43941 44652 45602 46848 47336 49664 52704 53253 55266 55296 55872 57984 58588 59536 62464 65232 66978 68403 70272 71004 73688 74496 77312 82899 83808 86976 87882 89304 91204 93696 94672 99328 100467 105408 106506 110532 110592 111744 115968 117176 119072 124928 130464 131823 133956 136806 140544 142008 147376 148992 154624 159759 165798 167616 173952 175764 178608 182408 187392 189344 198656 200934 205209 210816 213012 221064 223488 231936 234352 238144 248697 249856 260928 263646 267912 273612 281088 284016 294752 297984 309248 319518 331596 335232 347904 351528 357216 360937 364816 374784 378688 395469 397312 401868 410418 421632 426024 442128 446976 463872 468704 476288 497394 521856 527292 535824 547224 561871 562176 568032 589504 595968 615627 618496 639036 663192 670464 695808 703056 714432 721874 729632 749568 757376 790938 803736 820836 843264 852048 884256 893467 893952 927744 937408 952576 994788 1043712 1054584 1071648 1082811 1094448 1123742 1124352 1136064 1179008 1191936 1231254 1278072 1326384 1340928 1390861 1391616 1406112 1428864 1443748 1459264 1514752 1581876 1607472 1641672 1685613 1686528 1704096 1768512 1786934 1787904 1855488 1874816 1905152 1989576 2087424 2109168 2143296 2165622 2188896 2211697 2247484 2248704 2272128 2358016 2462508 2556144 2652768 2680401 2681856 2781722 2783232 2812224 2857728 2887496 2918528 3029504 3163752 3214944 3248433 3283344 3371226 3373056 3408192 3442951 3537024 3573868 3575808 3749632 3810304 3979152 4172583 4174848 4218336 4286592 4331244 4377792 4423394 4494968 4544256 4716032 4925016 5056839 5112288 5305536 5360802 5363712 5563444 5566464 5624448 5715456 5774992 5837056 6059008 6327504 6429888 6496866 6566688 6635091 6742452 6746112 6816384 6885902 7074048 7147736 7499264 7620608 7958304 8041203 8345166 8349696 8436672 8573184 8662488 8755584 8846788 8989936 9088512 9432064 9745299 9850032 10113678 10224576 10328853 10611072 10721604 10727424 11126888 11248896 11430912 11549984 11674112 12118016 12517749 12655008 12859776 12993732 13133376 13270182 13484904 13632768 13771804 14148096 14295472 14998528 15170517 15241216 15916608 16082406 16690332 16699392 16873344 17146368 17324976 17511168 17693576 17979872 18177024 18864128 19490598 19700064 19905273 20227356 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345902958117 347514966016 362914579008 366694939206 376714278144 380762836992 384729116544 390954336768 395026777776 409959061472 414454324224 430120982528 444405124998 461203944156 466261114752 483886105344 488926585608 502285704192 512972155392 521272449024 526702370368 550042408809 552605765632 577093674816 586431505152 592540166664 614938592208 621681486336 645181473792 651902114144 669714272256 683962873856 691805916234 725829158016 733389878412 753428556288 769458233088 781908673536 790053555552 819918122944 828908648448 860241965056 888810249996 922407888312 932522229504 967772210688 977853171216 1004571408384 1025944310784 1042544898048 1053404740736 1100084817618 1154187349632 1172863010304 1185080333328 1229877184416 1242688405087 1243362972672 1290362947584 1303804228288 1367925747712 1383611832468 1451658316032 1466779756824 1506857112576 1538916466176 1563817347072 1580107111104 1639836245888 1657817296896 1777620499992 1844815776624 1865044459008 1935544421376 1955706342432 2009142816768 2051888621568 2106809481472 2200169635236 2308374699264 2345726020608 2370160666656 2459754368832 2485376810174 2486725945344 2580725895168 2607608456576 2767223664936 2903316632064 2933559513648 3013714225152 3077832932352 3127634694144 3160214222208 3279672491776 3555240999984 3689631553248 3728065215261 3730088918016 3871088842752 3911412684864 4103777243136 4213618962944 4400339270472 4616749398528 4691452041216 4740321333312 4919508737664 4970753620348 4973451890688 5215216913152 5534447329872 5806633264128 5867119027296 6027428450304 6155665864704 6320428444416 6559344983552 7110481999968 7379263106496 7456130430522 7460177836032 7742177685504 7822825369728 8427237925888 8800678540944 9233498797056 9382904082432 9480642666624 9839017475328 9941507240696 10430433826304 11068894659744 11184195645783 11613266528256 11734238054592 12311331729408 12640856888832 13118689967104 14220963999936 14758526212992 14912260861044 14920355672064 15645650739456 16854475851776 17601357081888 18466997594112 18961285333248 19678034950656 19883014481392 20860867652608 22137789319488 22368391291566 23226533056512 23468476109184 25281713777664 26237379934208 28441927999872 29517052425984 29824521722088 31291301478912 33552586937349 33708951703552 35202714163776 36933995188224 37922570666496 39356069901312 39766028962784 41721735305216 44275578638976 44736782583132 46936952218368 50563427555328 52474759868416 56883855999744 59034104851968 59649043444176 62582602957824 67105173874698 70405428327552 75845141332992 78712139802624 79532057925568 83443470610432 88551157277952 89473565166264 93873904436736 101126855110656 113767711999488 118068209703936 119298086888352 125165205915648 134210347749396 140810856655104 151690282665984 157424279605248 159064115851136 177102314555904 178947130332528 187747808873472 227535423998976 236136419407872 238596173776704 250330411831296 268420695498792 281621713310208 303380565331968 318128231702272 354204629111808 357894260665056 375495617746944 455070847997952 472272838815744 477192347553408 536841390997584 563243426620416 636256463404544 708409258223616 715788521330112 750991235493888 910141695995904 954384695106816 1073682781995168 1126486853240832 1272512926809088 1416818516447232 1431577042660224 1908769390213632 2147365563990336 2252973706481664 2545025853618176 2863154085320448 3817538780427264 4294731127980672 5090051707236352 5726308170640896 7635077560854528 8589462255961344 11452616341281792 15270155121709056 17178924511922688 22905232682563584 34357849023845376 45810465365127168 68715698047690752 137431396095381504
- Sum of all divisors σ(n): 420993958516535040
- Sum of proper divisors (its aliquot sum) s(n): 283562562421153536
- 137431396095381504 is an abundant number, because the sum of its proper divisors (283562562421153536) is greater than itself. Its abundance is 146131166325772032
Bases of 137431396095381504
- Binary: 1111010000100000100100000011010010100000001010000000000002
- Hexadecimal: 0x1E8412069405000
- Base-36: 11L7D3RXP1C0
Squares and roots of 137431396095381504
- 137431396095381504 squared (1374313960953815042) is 18887388632725642503696799305302016
- 137431396095381504 cubed (1374313960953815043) is 2595720188391523868701861690628412538220197460312064
-
The
square root of 137431396095381504 is 370717407.3271735429 -
The
cube root of 137431396095381504 is 516054.2029065609
Scales and comparisons
How big is 137431396095381504?- 137,431,396,095,381,504 seconds is equal to 4,369,893,292 years, 31 weeks, 6 days, 8 hours, 38 minutes, 24 seconds.
-
To count from 1 to 137,431,396,095,381,504 would take you about thirteen billion, one hundred nine million, six hundred seventy-nine thousand, eight hundred seventy-seven 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 137431396095381504 cubic inches would be around 43004.5 feet tall.
Recreational maths with 137431396095381504
- 137431396095381504 backwards is 405183590693134731
- 137431396095381504 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137431396095381504's digits is 72
- More coming soon!
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"Number 137431396095381504 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
APA style:
Numbermatics. (2024). Number 137431396095381504 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/137431396095381504/
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The information we have on file for 137431396095381504 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 137431396095381504, math, Factors of 137431396095381504, curriculum, school, college, exams, university, Prime factorization of 137431396095381504, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quadrillion, four hundred thirty-one trillion, three hundred ninety-six billion, ninety-five million, three hundred eighty-one thousand, five hundred four.