137931069024
137,931,069,024 is an even composite number composed of five prime numbers multiplied together.
137931069024 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred four divisors.
Prime factorization of 137931069024:
25 × 36 × 72 × 67 × 1801
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 67 × 1801)See below for interesting mathematical facts about the number 137931069024 from the Numbermatics database.
Names of 137931069024
- Cardinal: 137931069024 can be written as One hundred thirty-seven billion, nine hundred thirty-one million, sixty-nine thousand and twenty-four.
Scientific notation
- Scientific notation: 1.37931069024 × 1011
Factors of 137931069024
Divisors of 137931069024
- Number of divisors d(n): 504
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 67 72 81 84 96 98 108 112 126 134 144 147 162 168 189 196 201 216 224 243 252 268 288 294 324 336 378 392 402 432 441 469 486 504 536 567 588 603 648 672 729 756 784 804 864 882 938 972 1008 1072 1134 1176 1206 1296 1323 1407 1458 1512 1568 1608 1701 1764 1801 1809 1876 1944 2016 2144 2268 2352 2412 2592 2646 2814 2916 3024 3216 3283 3402 3528 3602 3618 3752 3888 3969 4221 4536 4704 4824 5103 5292 5403 5427 5628 5832 6048 6432 6566 6804 7056 7204 7236 7504 7776 7938 8442 9072 9648 9849 10206 10584 10806 10854 11256 11664 11907 12607 12663 13132 13608 14112 14408 14472 15008 15876 16209 16281 16884 18144 19296 19698 20412 21168 21612 21708 22512 23328 23814 25214 25326 26264 27216 28816 28944 29547 31752 32418 32562 33768 35721 37821 37989 39396 40824 42336 43224 43416 45024 47628 48627 48843 50428 50652 52528 54432 57632 57888 59094 63504 64836 65124 67536 71442 75642 75978 78792 81648 86448 86832 88249 88641 95256 97254 97686 100856 101304 105056 113463 113967 118188 120667 127008 129672 130248 135072 142884 145881 151284 151956 157584 163296 172896 173664 176498 177282 190512 194508 195372 201712 202608 226926 227934 236376 241334 259344 260496 264747 265923 285768 291762 302568 303912 315168 340389 341901 352996 354564 362001 381024 389016 390744 403424 405216 437643 453852 455868 472752 482668 518688 520992 529494 531846 571536 583524 605136 607824 680778 683802 705992 709128 724002 778032 781488 794241 797769 844669 875286 907704 911736 945504 965336 1021167 1058988 1063692 1086003 1143072 1167048 1210272 1215648 1312929 1361556 1367604 1411984 1418256 1448004 1556064 1562976 1588482 1595538 1689338 1750572 1815408 1823472 1930672 2042334 2117976 2127384 2172006 2334096 2382723 2393307 2534007 2625858 2723112 2735208 2823968 2836512 2896008 3063501 3176964 3191076 3258009 3378676 3501144 3630816 3646944 3861344 4084668 4235952 4254768 4344012 4668192 4765446 4786614 5068014 5251716 5446224 5470416 5792016 5912683 6127002 6353928 6382152 6516018 6757352 7002288 7148169 7602021 8169336 8471904 8509536 8688024 9190503 9530892 9573228 9774027 10136028 10503432 10892448 10940832 11584032 11825366 12254004 12707856 12764304 13032036 13514704 14004576 14296338 15204042 16338672 17376048 17738049 18381006 19061784 19146456 19548054 20272056 21006864 21444507 22806063 23650732 24508008 25415712 25528608 26064072 27029408 28592676 29322081 30408084 32677344 34752096 35476098 36762012 38123568 38292912 39096108 40544112 42013728 42889014 45612126 47301464 49016016 52128144 53214147 57185352 58644162 60816168 64333521 68418189 70952196 73524024 76247136 76585824 78192216 81088224 85778028 87966243 91224252 94602928 98032032 104256288 106428294 114370704 117288324 121632336 128667042 136836378 141904392 147048048 156384432 159642441 171556056 175932486 182448504 189205856 205254567 212856588 228741408 234576648 243264672 257334084 273672756 283808784 294096096 312768864 319284882 343112112 351864972 364897008 410509134 425713176 469153296 478927323 514668168 547345512 567617568 615763701 638569764 686224224 703729944 729794016 821018268 851426352 938306592 957854646 1029336336 1094691024 1231527402 1277139528 1407459888 1436781969 1642036536 1702852704 1915709292 2058672672 2189382048 2463054804 2554279056 2814919776 2873563938 3284073072 3831418584 4310345907 4926109608 5108558112 5747127876 6568146144 7662837168 8620691814 9852219216 11494255752 15325674336 17241383628 19704438432 22988511504 34482767256 45977023008 68965534512 137931069024
- Sum of all divisors σ(n): 480949266168
- Sum of proper divisors (its aliquot sum) s(n): 343018197144
- 137931069024 is an abundant number, because the sum of its proper divisors (343018197144) is greater than itself. Its abundance is 205087128120
Bases of 137931069024
- Binary: 100000000111010101010100010110011000002
- Hexadecimal: 0x201D551660
- Base-36: 1RD4LI00
Squares and roots of 137931069024
- 137931069024 squared (1379310690242) is 19024979802103452312576
- 137931069024 cubed (1379310690243) is 2624135802264137141314612679245824
-
The
square root of 137931069024 is 371390.7228566701 -
The
cube root of 137931069024 is 5166.7886957641
Scales and comparisons
How big is 137931069024?- 137,931,069,024 seconds is equal to 4,385 years, 40 weeks, 4 days, 9 hours, 50 minutes, 24 seconds.
-
To count from 1 to 137,931,069,024 would take you about eight thousand, seven hundred seventy-one 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 137931069024 cubic inches would be around 430.6 feet tall.
Recreational maths with 137931069024
- 137931069024 backwards is 420960139731
- The number of decimal digits it has is: 12
- The sum of 137931069024's digits is 45
- More coming soon!
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