137968336440

Names of 137968336440

• Cardinal: 137968336440 can be written as One hundred thirty-seven billion, nine hundred sixty-eight million, three hundred thirty-six thousand, four hundred forty.

Scientific notation

• Scientific notation: 1.3796833644 × 10¹¹

Factors of 137968336440

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 5540

Divisors of 137968336440

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 47 55 60 66 72 88 90 94 99 110 120 132 139 141 165 180 188 198 220 235 264 278 282 330 360 376 396 417 423 440 470 495 517 556 564 660 695 705 792 834 846 940 990 1034 1112 1128 1251 1320 1390 1410 1529 1551 1668 1692 1880 1980 2068 2085 2115 2502 2585 2780 2820 3058 3102 3336 3384 3960 4136 4170 4230 4587 4653 5004 5170 5333 5560 5640 6116 6204 6255 6533 7645 7755 8340 8460 9174 9306 10008 10340 10666 12232 12408 12510 13066 13761 15290 15510 15999 16680 16920 18348 18612 19599 20680 21332 22935 23265 25020 26132 26665 27522 30580 31020 31998 32665 36696 37224 39198 42664 45870 46530 47997 50040 52264 53330 55044 58663 58797 61160 62040 63996 65330 68805 71863 78396 79995 91740 93060 95994 97995 106660 110088 117326 117594 127992 130660 137610 143726 156792 159990 175989 183480 186120 191988 195990 213320 215589 234652 235188 239985 250651 261320 275220 287452 293315 293985 319980 351978 359315 383976 391980 431178 469304 470376 479970 501302 527967 550440 574904 586630 587970 639960 646767 703956 718630 741287 751953 783960 862356 879945 959940 1002604 1055934 1077945 1173260 1175940 1253255 1293534 1407912 1437260 1482574 1503906 1724712 1759890 1919880 2005208 2111868 2155890 2223861 2255859 2346520 2351880 2506510 2587068 2639835 2757161 2874520 2965148 3007812 3233835 3519780 3706435 3759765 4223736 4311780 4447722 4511718 5013020 5174136 5279670 5514322 5930296 6015624 6467670 6671583 7039560 7412870 7519530 8154157 8271483 8623560 8895444 9023436 10026040 10559340 11028644 11119305 11279295 12935340 13343166 13785805 14825740 15039060 16308314 16542966 17790888 18046872 21118680 22057288 22238610 22558590 24462471 24814449 25870680 26686332 27571610 29651480 30078120 32616628 33085932 33357915 34840489 40770785 41357415 44477220 45117180 48924942 49628898 53372664 55143220 65233256 66171864 66715830 69680978 73387413 81541570 82714830 88954440 90234360 97849884 99257796 104521467 110286440 122312355 124072245 133431660 139361956 146774826 163083140 165429660 174202445 195699768 198515592 209042934 244624710 248144490 266863320 278723912 293549652 313564401 326166280 330859320 348404890 366937065 383245379 418085868 489249420 496288980 522607335 587099304 627128802 696809780 733874130 766490758 836171736 978498840 992577960 1045214670 1149736137 1254257604 1393619560 1467748260 1532981516 1567822005 1916226895 2090429340 2299472274 2508515208 2935496520 3065963032 3135644010 3449208411 3832453790 4180858680 4598944548 5748680685 6271288020 6898416822 7664907580 9197889096 11497361370 12542576040 13796833644 15329815160 17246042055 22994722740 27593667288 34492084110 45989445480 68984168220 137968336440
• Sum of all divisors σ(n): 503256499200
• Sum of proper divisors (its aliquot sum) s(n): 365288162760
• 137968336440 is an abundant number, because the sum of its proper divisors (365288162760) is greater than itself. Its abundance is 227319826320

Bases of 137968336440

• Binary: 10000000011111100011011011111000111000₂
• Hexadecimal: 0x201F8DBE38
• Base-36: 1RDQS9Q0

Squares and roots of 137968336440

• 137968336440 squared (137968336440²) is 19035261860021031873600
• 137968336440 cubed (137968336440³) is 2626263412526881911012808353984000
• The square root of 137968336440 is 371440.8922560897
• The cube root of 137968336440 is 5167.2539898317

Scales and comparisons

• 137,968,336,440 seconds is equal to 4,386 years, 50 weeks, 1 day, 17 hours, 54 minutes.
• To count from 1 to 137,968,336,440 would take you about eight thousand, seven hundred seventy-three 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 137968336440 cubic inches would be around 430.6 feet tall.

Recreational maths with 137968336440

• 137968336440 backwards is 044633869731
• The number of decimal digits it has is: 12
• The sum of 137968336440's digits is 54
• More coming soon!