137234996496390744
137,234,996,496,390,744 is an even composite number composed of five prime numbers multiplied together.
What does the number 137234996496390744 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1584 divisors.
137234996496390744 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred eighty-four divisors.
Prime factorization of 137234996496390744:
23 × 310 × 72 × 372 × 1633
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 37 × 37 × 163 × 163 × 163)See below for interesting mathematical facts about the number 137234996496390744 from the Numbermatics database.
Names of 137234996496390744
- Cardinal: 137234996496390744 can be written as One hundred thirty-seven quadrillion, two hundred thirty-four trillion, nine hundred ninety-six billion, four hundred ninety-six million, three hundred ninety thousand, seven hundred forty-four.
Scientific notation
- Scientific notation: 1.37234996496390744 × 1017
Factors of 137234996496390744
Divisors of 137234996496390744
- Number of divisors d(n): 1584
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 37 42 49 54 56 63 72 74 81 84 98 108 111 126 147 148 162 163 168 189 196 216 222 243 252 259 294 296 324 326 333 378 392 441 444 486 489 504 518 567 588 648 652 666 729 756 777 882 888 972 978 999 1036 1134 1141 1176 1304 1323 1332 1369 1458 1467 1512 1554 1701 1764 1813 1944 1956 1998 2072 2187 2268 2282 2331 2646 2664 2738 2916 2934 2997 3108 3402 3423 3528 3626 3912 3969 3996 4107 4374 4401 4536 4564 4662 5103 5292 5439 5476 5832 5868 5994 6031 6216 6561 6804 6846 6993 7252 7938 7987 7992 8214 8748 8802 8991 9128 9324 9583 10206 10269 10584 10878 10952 11736 11907 11988 12062 12321 13122 13203 13608 13692 13986 14504 15309 15876 15974 16317 16428 17496 17604 17982 18093 18648 19166 19683 20412 20538 20979 21756 23814 23961 23976 24124 24642 26244 26406 26569 26973 27384 27972 28749 30618 30807 31752 31948 32634 32856 35208 35721 35964 36186 36963 38332 39366 39609 40824 41076 41958 42217 43512 45927 47628 47922 48248 48951 49284 52488 52812 53138 53946 54279 55944 57498 59049 61236 61614 62937 63896 65268 67081 71442 71883 71928 72372 73926 76664 78732 79218 79707 80919 82152 83916 84434 86247 91854 92421 95256 95844 97902 98568 105624 106276 107163 107892 108558 110889 114996 118098 118827 122472 123228 125874 126651 130536 134162 137781 142884 143766 144744 146853 147852 157464 158436 159414 161838 162837 167832 168868 172494 183708 184842 185983 188811 191688 195804 201243 212552 214326 215649 215784 217116 221778 223147 229992 236196 237654 239121 242757 246456 251748 253302 258741 268324 275562 277263 285768 287532 293706 295519 295704 316872 318828 321489 323676 325674 332667 337736 344988 356481 367416 369684 371966 377622 379953 391608 402486 413343 428652 431298 434232 440559 443556 446294 472392 475308 478242 485514 488511 503496 506604 517482 536648 551124 554526 557949 566433 575064 587412 591038 603729 637656 642978 646947 647352 651348 665334 669441 689976 712962 717363 728271 739368 743932 755244 759906 776223 804972 826686 831789 857304 862596 881118 886557 887112 892588 950616 956484 964467 971028 977022 983053 998001 1013208 1034964 1069443 1102248 1109052 1115898 1132866 1139859 1174824 1182076 1207458 1285956 1293894 1301881 1302696 1321677 1330668 1338882 1425924 1434726 1456542 1465533 1487864 1510488 1519812 1552446 1562029 1609944 1653372 1663578 1673847 1699299 1725192 1762236 1773114 1785176 1811187 1912968 1928934 1940841 1942056 1954044 1966106 1996002 2008323 2069928 2138886 2152089 2184813 2218104 2231796 2265732 2279718 2328669 2364152 2414916 2495367 2571912 2587788 2603762 2643354 2659671 2661336 2677764 2851848 2869452 2893401 2913084 2931066 2949159 2994003 3039624 3104892 3124058 3208329 3306744 3327156 3347694 3398598 3419577 3524472 3546228 3622374 3857868 3881682 3905643 3908088 3932212 3965031 3992004 4016646 4277772 4304178 4330747 4369626 4396599 4463592 4531464 4559436 4657338 4686087 4829832 4990734 5021541 5097897 5175576 5207524 5286708 5319342 5355528 5433561 5738904 5786802 5822523 5826168 5862132 5898318 5988006 6024969 6209784 6248116 6416658 6456267 6654312 6695388 6797196 6839154 6881371 6986007 7092456 7244748 7486101 7715736 7763364 7811286 7864424 7930062 7979013 7984008 8033292 8555544 8608356 8661494 8739252 8793198 8847477 8982009 9118872 9314676 9372174 9624987 9981468 10043082 10195794 10258731 10415048 10573416 10638684 10867122 10934203 11573604 11645046 11716929 11724264 11796636 11895093 11976012 12049938 12496232 12833316 12912534 12992241 13189797 13390776 13594392 13678308 13762742 13972014 14058261 14489496 14972202 15064623 15293691 15526728 15622572 15860124 15958026 16066584 16300683 17216712 17322988 17467569 17478504 17586396 17694954 17964018 18074907 18629352 18744348 19249974 19368801 19962936 20086164 20391588 20517462 20644113 20958021 21277368 21734244 21868406 22458303 23147208 23290092 23433858 23593272 23790186 23937039 23952024 24099876 25666632 25825068 25984482 26379594 26542431 26946027 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795592869876 812676152358 817692671817 842775269112 847977585588 860871670596 866185693254 871532518521 928191681522 934505910648 948122177751 954571988484 960464408166 996037164024 1022905118412 1051319149479 1083568203144 1090256895756 1113667319898 1120541809527 1154914257672 1162043358028 1193389304814 1237588908696 1264162903668 1271966378382 1280619210888 1291307505894 1299278539881 1392287522283 1401758865972 1431857982726 1440696612249 1484889759864 1494055746036 1591185739752 1625352304716 1635385343634 1670500979847 1695955171176 1721743341192 1732371386508 1743065037042 1790083957221 1856383363044 1896244355502 1907949567573 1909143976968 1920928816332 2045810236824 2102638298958 2147786974089 2180513791512 2227334639796 2241083619054 2324086716056 2386778609628 2453078015451 2528325807336 2543932756764 2582615011788 2598557079762 2614597555563 2784575044566 2803517731944 2844366533253 2863715965452 2881393224498 2988111492072 3153957448437 3250704609432 3270770687268 3341001959694 3361625428581 3464742773016 3486130074084 3580167914442 3712766726088 3792488711004 3815899135146 3841857632664 3897835619643 4176862566849 4205276597916 4295573948178 4322089836747 4454669279592 4482167238108 4773557219256 4906156030902 5011502939541 5087865513528 5165230023576 5197114159524 5229195111126 5569150089132 5688733066506 5723848702719 5727431930904 5762786448996 6307914896874 6541541374536 6682003919388 6723250857162 6972260148168 7160335828884 7359234046353 7584977422008 7631798270292 7795671239286 7843792666689 8353725133698 8410553195832 8591147896356 8644179673494 8964334476216 9461872345311 9812312061804 10023005879082 10084876285743 10394228319048 10458390222252 11138300178264 11377466133012 11447697405438 11525572897992 11693506858929 12530587700547 12615829793748 12966269510241 13364007838776 13446501714324 14320671657768 14718468092706 15034508818623 15263596540584 15591342478572 15687585333378 16707450267396 17171546108157 17182295792712 17288359346988 18923744690622 19624624123608 20046011758164 20169752571486 20916780444504 22077702139059 22754932266024 22895394810876 23387013717858 23531378000067 25061175401094 25231659587496 25932539020482 26893003428648 29436936185412 30069017637246 30254628857229 31182684957144 31375170666756 33414900534792 34343092216314 34576718693976 35080520576787 37847489381244 38898808530723 40092023516328 40339505142972 44155404278118 45790789621752 46774027435716 47062756000134 50122350802188 51514638324471 51865078040964 58873872370824 60138035274492 60509257714458 62750341333512 66233106417177 68686184432628 70161041153574 70594134000201 75694978762488 77797617061446 80679010285944 88310808556236 90763886571687 93548054871432 94125512000268 100244701604376 103029276648942 103730156081928 105241561730361 116696425592169 120276070548984 121018515428916 132466212834354 137372368865256 140322082307148 141188268000402 154543914973413 155595234122892 176621617112472 181527773143374 188251024000536 206058553297884 210483123460722 211782402000603 233392851184338 242037030857832 264932425668708 272291659715061 280644164614296 282376536000804 309087829946826 311190468245784 350089276776507 363055546286748 412117106595768 420966246921444 423564804001206 463631744920239 466785702368676 529864851337416 544583319430122 564753072001608 618175659893652 635347206001809 700178553553014 726111092573496 816874979145183 841932493842888 847129608002412 927263489840478 933571404737352 1089166638860244 1236351319787304 1270694412003618 1400357107106028 1633749958290366 1694259216004824 1854526979680956 1906041618005427 2178333277720488 2450624937435549 2541388824007236 2800714214212056 3267499916580732 3709053959361912 3812083236010854 4901249874871098 5082777648014472 5718124854016281 6534999833161464 7624166472021708 9802499749742196 11436249708032562 15248332944043416 17154374562048843 19604999499484392 22872499416065124 34308749124097686 45744998832130248 68617498248195372 137234996496390744
- Sum of all divisors σ(n): 464298167149979400
- Sum of proper divisors (its aliquot sum) s(n): 327063170653588656
- 137234996496390744 is an abundant number, because the sum of its proper divisors (327063170653588656) is greater than itself. Its abundance is 189828174157197912
Bases of 137234996496390744
- Binary: 1111001111000111010000000100100001110101101011010010110002
- Hexadecimal: 0x1E78E8090EB5A58
- Base-36: 11J9QV1NCDI0
Squares and roots of 137234996496390744
- 137234996496390744 squared (1372349964963907442) is 18833444263364379780957818728873536
- 137234996496390744 cubed (1372349964963907443) is 2584607657497781015756203551993893468908524816950784
-
The
square root of 137234996496390744 is 370452421.3666186093 -
The
cube root of 137234996496390744 is 515808.2592091147
Scales and comparisons
How big is 137234996496390744?- 137,234,996,496,390,744 seconds is equal to 4,363,648,392 years, 45 weeks, 1 day, 12 hours, 32 minutes, 24 seconds.
-
To count from 1 to 137,234,996,496,390,744 would take you about thirteen billion, ninety million, nine hundred forty-five thousand, one hundred seventy-eight 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 137234996496390744 cubic inches would be around 42984 feet tall.
Recreational maths with 137234996496390744
- 137234996496390744 backwards is 447093694699432731
- The number of decimal digits it has is: 18
- The sum of 137234996496390744's digits is 90
- More coming soon!
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"Number 137234996496390744 - Facts about the integer". Numbermatics.com. 2024. Web. 6 May 2024.
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Numbermatics. (2024). Number 137234996496390744 - Facts about the integer. Retrieved 6 May 2024, from https://numbermatics.com/n/137234996496390744/
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The information we have on file for 137234996496390744 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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