137989974009888

Names of 137989974009888

• Cardinal: 137989974009888 can be written as One hundred thirty-seven trillion, nine hundred eighty-nine billion, nine hundred seventy-four million, nine thousand, eight hundred eighty-eight.

Scientific notation

• Scientific notation: 1.37989974009888 × 10¹⁴

Factors of 137989974009888

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 110642

Divisors of 137989974009888

• Number of divisors d(n): 1440
• Complete list of divisors:
  1 2 3 4 6 7 8 9 11 12 13 14 16 18 21 22 24 26 27 28 32 33 36 37 39 42 44 48 52 54 56 63 66 72 74 77 78 81 84 88 91 96 99 104 108 111 112 117 126 132 143 144 148 154 156 162 168 169 176 182 189 198 208 216 222 224 231 234 252 259 264 273 286 288 296 297 308 312 324 333 336 338 351 352 364 378 396 407 416 429 432 444 462 468 481 504 507 518 528 546 567 572 592 594 616 624 648 666 672 676 693 702 728 756 777 792 814 819 858 864 888 891 924 936 962 999 1001 1008 1014 1036 1053 1056 1092 1134 1144 1183 1184 1188 1221 1232 1248 1287 1296 1332 1352 1386 1404 1443 1456 1512 1521 1554 1584 1628 1638 1716 1776 1782 1848 1859 1872 1924 1998 2002 2016 2028 2072 2079 2106 2184 2268 2288 2331 2366 2376 2442 2457 2464 2574 2592 2664 2704 2772 2808 2849 2886 2912 2997 3003 3024 3042 3108 3168 3256 3276 3367 3432 3549 3552 3564 3663 3696 3718 3744 3848 3861 3996 4004 4056 4144 4158 4212 4329 4368 4536 4563 4576 4662 4732 4752 4884 4914 5148 5291 5328 5408 5544 5577 5616 5698 5772 5994 6006 6048 6084 6216 6237 6253 6512 6552 6734 6864 6993 7098 7128 7326 7371 7392 7436 7696 7722 7992 8008 8112 8288 8316 8424 8547 8658 8736 9009 9072 9126 9324 9464 9504 9768 9828 10101 10296 10582 10647 10656 10989 11088 11154 11232 11396 11544 11583 11988 12012 12168 12432 12474 12506 12987 13013 13024 13104 13468 13689 13728 13986 14196 14256 14652 14742 14872 15392 15444 15873 15984 16016 16224 16632 16731 16848 17094 17316 18018 18144 18252 18648 18759 18928 19536 19656 20202 20592 20979 21164 21294 21978 22176 22308 22792 23088 23166 23976 24024 24336 24864 24948 25012 25641 25974 26026 26208 26936 27027 27378 27972 28392 28512 29304 29484 29744 30303 30888 31746 31941 31968 32032 32967 33264 33462 33696 34188 34632 36036 36504 37037 37296 37518 37856 38961 39039 39072 39312 40404 41184 41958 42328 42588 43771 43956 44616 45584 46176 46332 47619 47952 48048 48672 49896 50024 50193 51282 51948 52052 53872 54054 54756 55944 56277 56784 58608 58968 59488 60606 61776 63492 63882 65934 66528 66924 68376 68783 69264 72072 73008 74074 74592 75036 76923 77922 78078 78624 80808 81081 83916 84656 85176 87542 87912 89232 90909 91168 92664 95238 95823 95904 96096 99792 100048 100386 102564 103896 104104 107744 108108 109512 110569 111111 111888 112554 113568 117117 117216 117936 121212 123552 126984 127764 131313 131868 133848 136752 137566 138528 142857 144144 146016 148148 150072 150579 153846 155844 156156 161616 162162 167832 168831 169312 170352 175084 175824 178464 181818 185328 190476 191646 199584 200096 200772 205128 206349 207792 208208 216216 219024 221138 222222 223776 225108 230769 234234 235872 242424 253968 255528 262626 263736 267696 272727 273504 275132 285714 288288 296296 300144 301158 307692 311688 312312 323232 324324 331707 333333 335664 337662 340704 350168 351351 351648 363636 370656 380952 383292 393939 401544 410256 412698 415584 416416 428571 432432 438048 442276 444444 450216 461538 468468 481481 484848 506493 507936 511056 525252 527472 535392 545454 550264 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5621616 5749588 5777772 5970726 5999994 6191864 6303024 6603168 6857136 6965847 7090902 7297554 7384608 7428564 7703696 7960968 7999992 8103888 8182106 8432424 8513813 8624382 8666658 8727264 8956089 9287796 9454536 9730072 9904752 10061779 10614624 10666656 10946331 11142846 11243232 11499176 11555544 11941452 11999988 12273159 12383728 12606048 12936573 12999987 13714272 13931694 14181804 14595108 14857128 15407392 15811367 15921936 15999984 16207776 16364212 16864848 17027626 17248764 17333316 17912178 18575592 18686161 18909072 19460144 19809504 20123558 20897541 21892662 22285692 22998352 23111088 23882904 23999976 24546318 24767456 25541439 25873146 25999974 27863388 28363608 28637371 29190216 29714256 30185337 31622734 31843872 31999968 32728424 32838993 33729696 34055252 34497528 34666632 35824356 36819477 37151184 37372322 37818144 38809719 38920288 38999961 40247116 41795082 43785324 44571384 45001583 45996704 46222176 47434101 47765808 47999952 49092636 51082878 51746292 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243368560864 252728890128 261344647746 266389911216 272169573984 273789630972 286881442848 294850371816 298679597424 310788229752 319421236134 321654951072 331706668293 339041705184 348459530328 365052841296 379093335192 392016971619 393133829088 408254360976 410684446458 414384306336 425894981512 442275557724 448019396136 464612707104 466182344628 479131854201 482482426608 505457780256 522689295492 532779822432 547579261944 589700743632 597359194848 616026669687 621576459504 638842472268 663413336586 696919060656 730105682592 758186670384 784033943238 816508721952 821368892916 851789963024 884551115448 896038792272 932364689256 958263708402 964964853216 1045378590984 1095158523888 1179401487264 1232053339374 1243152919008 1277684944536 1326826673172 1393838121312 1437395562603 1516373340768 1568067886476 1642737785832 1703579926048 1769102230896 1792077584544 1864729378512 1916527416804 2090757181968 2190317047776 2464106678748 2555369889072 2653653346344 2874791125206 3136135772952 3285475571664 3538204461792 3729458757024 3833054833608 4181514363936 4312186687809 4928213357496 5110739778144 5307306692688 5749582250412 6272271545904 6570951143328 7666109667216 8624373375618 9856426714992 10614613385376 11499164500824 12544543091808 15332219334432 17248746751236 19712853429984 22998329001648 34497493502472 45996658003296 68994987004944 137989974009888
• Sum of all divisors σ(n): 562689937434240
• Sum of proper divisors (its aliquot sum) s(n): 424699963424352
• 137989974009888 is an abundant number, because the sum of its proper divisors (424699963424352) is greater than itself. Its abundance is 286709989414464

Bases of 137989974009888

• Binary: 11111011000000001001011011000100010100000100000₂
• Hexadecimal: 0x7D804B622820
• Base-36: 1CWVPVQA00

Squares and roots of 137989974009888

• 137989974009888 squared (137989974009888²) is 19041232927249565725921772544
• 137989974009888 cubed (137989974009888³) is 2627499236747391177215880225278388342915072
• The square root of 137989974009888 is 11746913.3822416517
• The cube root of 137989974009888 is 51675.2410247211

Scales and comparisons

• 137,989,974,009,888 seconds is equal to 4,387,654 years, 17 weeks, 5 days, 16 hours, 4 minutes, 48 seconds.
• To count from 1 to 137,989,974,009,888 would take you about ten million, nine hundred sixty-nine thousand, one hundred thirty-five 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 137989974009888 cubic inches would be around 4306.3 feet tall.

Recreational maths with 137989974009888

• 137989974009888 backwards is 888900479989731
• The number of decimal digits it has is: 15
• The sum of 137989974009888's digits is 90
• More coming soon!