137684931604992

Names of 137684931604992

• Cardinal: 137684931604992 can be written as One hundred thirty-seven trillion, six hundred eighty-four billion, nine hundred thirty-one million, six hundred four thousand, nine hundred ninety-two.

Scientific notation

• Scientific notation: 1.37684931604992 × 10¹⁴

Factors of 137684931604992

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 529

Divisors of 137684931604992

• Number of divisors d(n): 450
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 157 162 192 216 256 288 314 324 367 384 432 471 512 576 628 648 734 768 864 942 1101 1152 1256 1296 1413 1468 1536 1728 1884 2202 2304 2512 2592 2826 2936 3303 3456 3768 4239 4404 4608 5024 5184 5652 5872 6606 6912 7536 8478 8808 9909 10048 10368 11304 11744 12717 13212 13824 15072 16956 17616 19818 20096 20736 22608 23488 24649 25434 26424 29727 30144 33912 35232 39636 40192 41472 45216 46976 49298 50868 52848 57619 59454 60288 67824 70464 73947 79272 80384 90432 93952 98596 101736 105696 115238 118908 120576 134689 135648 140928 147894 158544 172857 180864 187904 197192 203472 211392 221841 230476 237816 241152 269378 271296 281856 295788 317088 345714 361728 394384 404067 406944 422784 443682 460952 475632 518571 538756 542592 563712 591576 634176 665523 691428 723456 788768 808134 813888 845568 887364 921904 951264 1037142 1077512 1085184 1183152 1212201 1268352 1331046 1382856 1555713 1577536 1616268 1627776 1691136 1774728 1843808 1902528 1996569 2074284 2155024 2170368 2366304 2424402 2536704 2662092 2765712 3111426 3155072 3232536 3255552 3549456 3636603 3687616 3805056 3993138 4148568 4310048 4667139 4732608 4848804 5073408 5324184 5531424 6222852 6310144 6465072 6511104 7098912 7273206 7375232 7610112 7986276 8297136 8620096 9046183 9334278 9465216 9697608 10648368 10909809 11062848 12445704 12620288 12930144 14197824 14546412 14750464 15220224 15972552 16594272 17240192 18092366 18668556 18930432 19395216 21146173 21296736 21819618 22125696 24891408 25860288 27138549 28395648 29092824 29500928 31945104 33188544 34480384 36184732 37337112 37860864 38790432 42292346 42593472 43639236 44251392 49782816 51720576 54277098 56791296 58185648 63438519 63890208 66377088 68960768 72369464 74674224 77580864 81415647 84584692 85186944 87278472 88502784 99565632 103441152 108554196 113582592 116371296 126877038 127780416 132754176 144738928 149348448 155161728 162831294 169169384 170373888 174556944 190315557 199131264 206882304 217108392 232742592 244246941 253754076 255560832 265508352 289477856 298696896 310323456 325662588 338338768 340747776 349113888 380631114 398262528 434216784 465485184 488493882 507508152 511121664 570946671 578955712 597393792 620646912 651325176 676677536 698227776 732740823 761262228 796525056 868433568 930970368 976987764 1015016304 1022243328 1141893342 1157911424 1194787584 1302650352 1353355072 1396455552 1465481646 1522524456 1712840013 1736867136 1861940736 1953975528 2030032608 2283786684 2315822848 2389575168 2605300704 2706710144 2792911104 2930963292 3045048912 3319949161 3425680026 3473734272 3907951056 4060065216 4567573368 4631645696 5210601408 5413420288 5585822208 5861926584 6090097824 6639898322 6851360052 6947468544 7815902112 8120130432 9135146736 9959847483 10421202816 10826840576 11723853168 12180195648 13279796644 13702720104 13894937088 15631804224 16240260864 18270293472 19919694966 20842405632 23447706336 24360391296 26559593288 27405440208 29879542449 31263608448 32480521728 36540586944 39839389932 41684811264 46895412672 48720782592 53119186576 54810880416 59759084898 62527216896 73081173888 79678779864 89638627347 93790825344 97441565184 106238373152 109621760832 119518169796 125054433792 146162347776 159357559728 179277254694 187581650688 212476746304 219243521664 239036339592 268915882041 292324695552 318715119456 358554509388 375163301376 424953492608 438487043328 478072679184 537831764082 637430238912 717109018776 849906985216 876974086656 956145358368 1075663528164 1274860477824 1434218037552 1699813970432 1912290716736 2151327056328 2549720955648 2868436075104 3824581433472 4302654112656 5099441911296 5736872150208 7649162866944 8605308225312 11473744300416 15298325733888 17210616450624 22947488600832 34421232901248 45894977201664 68842465802496 137684931604992
• Sum of all divisors σ(n): 414717487973217
• Sum of proper divisors (its aliquot sum) s(n): 277032556368225
• 137684931604992 is an abundant number, because the sum of its proper divisors (277032556368225) is greater than itself. Its abundance is 139347624763233

Bases of 137684931604992

• Binary: 11111010011100101000101011100000111001000000000₂
• Hexadecimal: 0x7D3945707200
• Base-36: 1CSZL1CW00

Squares and roots of 137684931604992

• 137684931604992 squared (137684931604992²) is 18957140391071324917119320064
• 137684931604992 cubed (137684931604992³) is 2610112578170886666767177306036607268159488
• The square root of 137684931604992 is 11733922.2600540523
• The cube root of 137684931604992 is 51637.1349483083

Scales and comparisons

• 137,684,931,604,992 seconds is equal to 4,377,954 years, 48 weeks, 5 days, 6 hours, 43 minutes, 12 seconds.
• To count from 1 to 137,684,931,604,992 would take you about ten million, nine hundred forty-four thousand, eight hundred eighty-seven 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 137684931604992 cubic inches would be around 4303.1 feet tall.

Recreational maths with 137684931604992

• 137684931604992 backwards is 299406139486731
• 137684931604992 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 137684931604992's digits is 72
• More coming soon!