137412387840

Names of 137412387840

• Cardinal: 137412387840 can be written as One hundred thirty-seven billion, four hundred twelve million, three hundred eighty-seven thousand, eight hundred forty.

Scientific notation

• Scientific notation: 1.3741238784 × 10¹¹

Factors of 137412387840

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 2724

Divisors of 137412387840

• Number of divisors d(n): 704
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 32 35 37 39 40 42 48 52 56 60 64 65 70 74 78 80 84 91 96 104 105 111 112 120 128 130 140 148 156 160 168 182 185 192 195 208 210 222 224 240 256 259 260 273 280 296 312 320 336 364 370 384 390 416 420 444 448 455 480 481 512 518 520 546 555 560 592 624 640 672 728 740 768 777 780 832 840 888 896 910 960 962 1024 1036 1040 1092 1110 1120 1184 1248 1280 1295 1344 1365 1443 1456 1480 1536 1554 1560 1664 1680 1776 1792 1820 1920 1924 2072 2080 2184 2220 2240 2368 2405 2496 2560 2590 2657 2688 2730 2886 2912 2960 3072 3108 3120 3328 3360 3367 3552 3584 3640 3840 3848 3885 4144 4160 4368 4440 4480 4736 4810 4992 5120 5180 5314 5376 5460 5772 5824 5920 6216 6240 6656 6720 6734 7104 7168 7215 7280 7680 7696 7770 7971 8288 8320 8736 8880 8960 9472 9620 9984 10101 10360 10628 10752 10920 11544 11648 11840 12432 12480 13285 13312 13440 13468 14208 14430 14560 15360 15392 15540 15942 16576 16640 16835 17472 17760 17920 18599 18944 19240 19968 20202 20720 21256 21504 21840 23088 23296 23680 24864 24960 26570 26880 26936 28416 28860 29120 30784 31080 31884 33152 33280 33670 34541 34944 35520 35840 37198 37888 38480 39855 39936 40404 41440 42512 43680 46176 46592 47360 49728 49920 50505 53140 53760 53872 55797 56832 57720 58240 61568 62160 63768 66304 66560 67340 69082 69888 71040 74396 76960 79710 80808 82880 85024 87360 92352 92995 93184 94720 98309 99456 99840 101010 103623 106280 107520 107744 111594 113664 115440 116480 123136 124320 127536 132608 134680 138164 139776 142080 148792 153920 159420 161616 165760 170048 172705 174720 184704 185990 189440 196618 198912 199680 202020 207246 212560 215488 223188 230880 232960 241787 246272 248640 255072 265216 269360 276328 278985 279552 284160 294927 297584 307840 318840 323232 331520 340096 345410 349440 369408 371980 393236 397824 404040 414492 425120 430976 446376 461760 465920 483574 491545 492544 497280 510144 518115 538720 552656 557970 568320 589854 595168 615680 637680 646464 663040 680192 688163 690820 698880 725361 738816 743960 786472 795648 808080 828984 850240 861952 892752 923520 967148 983090 994560 1020288 1036230 1077440 1105312 1115940 1179708 1190336 1208935 1231360 1275360 1278017 1292928 1326080 1360384 1376326 1381640 1397760 1450722 1474635 1477632 1487920 1572944 1616160 1657968 1700480 1723904 1785504 1847040 1934296 1966180 1989120 2040576 2064489 2072460 2154880 2210624 2231880 2359416 2380672 2417870 2462720 2550720 2556034 2585856 2720768 2752652 2763280 2901444 2949270 2975840 3145888 3232320 3315936 3400960 3440815 3447808 3571008 3626805 3694080 3834051 3868592 3932360 3978240 4081152 4128978 4144920 4309760 4421248 4463760 4718832 4761344 4835740 5101440 5112068 5171712 5505304 5526560 5802888 5898540 5951680 6291776 6390085 6464640 6631872 6801920 6881630 7142016 7253610 7388160 7668102 7737184 7864720 8162304 8257956 8289840 8619520 8842496 8927520 8946119 9437664 9522688 9671480 10202880 10224136 10322445 10343424 11010608 11053120 11605776 11797080 11903360 12583552 12780170 12929280 13263744 13603840 13763260 14284032 14507220 15336204 15474368 15729440 16515912 16579680 17239040 17684992 17855040 17892238 18875328 19045376 19170255 19342960 20405760 20448272 20644890 22021216 22106240 23211552 23594160 23806720 25167104 25560340 25858560 26527488 26838357 27526520 28568064 29014440 30672408 30948736 31458880 33031824 33159360 35369984 35710080 35784476 37750656 38340510 38685920 40811520 40896544 41289780 44042432 44212480 44730595 46423104 47188320 47613440 50334208 51120680 51717120 53054976 53676714 55053040 57136128 58028880 61344816 61897472 62917760 66063648 66318720 71420160 71568952 75501312 76681020 77371840 81793088 82579560 88084864 88424960 89461190 92846208 94376640 95226880 100668416 102241360 106109952 107353428 110106080 116057760 122689632 123794944 125835520 132127296 132637440 134191785 142840320 143137904 151002624 153362040 154743680 163586176 165159120 176169728 176849920 178922380 185692416 188753280 204482720 214706856 220212160 232115520 245379264 247589888 251671040 264254592 265274880 268383570 285680640 286275808 302005248 306724080 309487360 327172352 330318240 352339456 357844760 371384832 377506560 408965440 429413712 440424320 464231040 490758528 503342080 528509184 530549760 536767140 572551616 613448160 618974720 654344704 660636480 704678912 715689520 742769664 755013120 817930880 858827424 880848640 928462080 981517056 1057018368 1073534280 1145103232 1226896320 1237949440 1308689408 1321272960 1431379040 1510026240 1635861760 1717654848 1761697280 1856924160 1963034112 2114036736 2147068560 2290206464 2453792640 2642545920 2862758080 3271723520 3435309696 3523394560 3713848320 3926068224 4294137120 4580412928 4907585280 5285091840 5725516160 6543447040 6870619392 8588274240 9160825856 9815170560 10570183680 11451032320 13741238784 17176548480 19630341120 22902064640 27482477568 34353096960 45804129280 68706193920 137412387840
• Sum of all divisors σ(n): 555757945344
• Sum of proper divisors (its aliquot sum) s(n): 418345557504
• 137412387840 is an abundant number, because the sum of its proper divisors (418345557504) is greater than itself. Its abundance is 280933169664

Bases of 137412387840

• Binary: 1111111111110011010101010010000000000₂
• Hexadecimal: 0x1FFE6AA400
• Base-36: 1R4JSD1C

Squares and roots of 137412387840

• 137412387840 squared (137412387840²) is 18882164331890579865600
• 137412387840 cubed (137412387840³) is 2594643288432362840934322274304000
• The square root of 137412387840 is 370691.7693178525
• The cube root of 137412387840 is 5160.3040984171

Scales and comparisons

• 137,412,387,840 seconds is equal to 4,369 years, 15 weeks, 3 hours, 44 minutes.
• To count from 1 to 137,412,387,840 would take you about eight thousand, seven hundred thirty-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 137412387840 cubic inches would be around 430 feet tall.

Recreational maths with 137412387840

• 137412387840 backwards is 048783214731
• 137412387840 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137412387840's digits is 48
• More coming soon!