137434622976

Names of 137434622976

• Cardinal: 137434622976 can be written as One hundred thirty-seven billion, four hundred thirty-four million, six hundred twenty-two thousand, nine hundred seventy-six.

Scientific notation

• Scientific notation: 1.37434622976 × 10¹¹

Factors of 137434622976

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 6223

Divisors of 137434622976

• Number of divisors d(n): 330
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 128 144 147 168 192 196 224 252 256 288 294 336 343 384 392 441 448 504 512 576 588 672 686 768 784 882 896 1008 1024 1029 1152 1176 1344 1372 1536 1568 1764 1792 2016 2058 2304 2352 2401 2688 2744 3072 3087 3136 3528 3584 4032 4116 4608 4704 4802 5376 5488 6174 6211 6272 7056 7168 7203 8064 8232 9216 9408 9604 10752 10976 12348 12422 12544 14112 14406 16128 16464 18633 18816 19208 21504 21609 21952 24696 24844 25088 28224 28812 32256 32928 37266 37632 38416 43218 43477 43904 49392 49688 50176 55899 56448 57624 64512 65856 74532 75264 76832 86436 86954 87808 98784 99376 111798 112896 115248 130431 131712 149064 150528 153664 172872 173908 175616 197568 198752 223596 225792 230496 260862 263424 298128 304339 307328 345744 347816 351232 391293 395136 397504 447192 451584 460992 521724 526848 596256 608678 614656 691488 695632 782586 790272 795008 894384 913017 921984 1043448 1053696 1192512 1217356 1229312 1382976 1391264 1565172 1580544 1590016 1788768 1826034 1843968 2086896 2130373 2385024 2434712 2458624 2739051 2765952 2782528 3130344 3161088 3180032 3577536 3652068 3687936 4173792 4260746 4770048 4869424 5478102 5531904 5565056 6260688 6360064 6391119 7155072 7304136 7375872 8347584 8521492 9540096 9738848 10956204 11063808 11130112 12521376 12782238 14310144 14608272 14912611 16695168 17042984 19080192 19173357 19477696 21912408 22127616 22260224 25042752 25564476 28620288 29216544 29825222 33390336 34085968 38346714 38955392 43824816 44520448 44737833 50085504 51128952 57240576 58433088 59650444 66780672 68171936 76693428 77910784 87649632 89475666 100171008 102257904 116866176 119300888 133561344 134213499 136343872 153386856 155821568 175299264 178951332 200342016 204515808 233732352 238601776 268426998 272687744 306773712 311643136 350598528 357902664 400684032 409031616 467464704 477203552 536853996 545375488 613547424 701197056 715805328 818063232 934929408 954407104 1073707992 1090750976 1227094848 1402394112 1431610656 1636126464 1908814208 2147415984 2181501952 2454189696 2804788224 2863221312 3272252928 3817628416 4294831968 4908379392 5726442624 6544505856 7635256832 8589663936 9816758784 11452885248 15270513664 17179327872 19633517568 22905770496 34358655744 45811540992 68717311488 137434622976
• Sum of all divisors σ(n): 463026397132
• Sum of proper divisors (its aliquot sum) s(n): 325591774156
• 137434622976 is an abundant number, because the sum of its proper divisors (325591774156) is greater than itself. Its abundance is 188157151180

Bases of 137434622976

• Binary: 1111111111111101111011110110000000000₂
• Hexadecimal: 0x1FFFBDEC00
• Base-36: 1R4X0XS0

Squares and roots of 137434622976

• 137434622976 squared (137434622976²) is 18888275592555267096576
• 137434622976 cubed (137434622976³) is 2595903034729616125860900740530176
• The square root of 137434622976 is 370721.7595124407
• The cube root of 137434622976 is 5160.5824184845

Scales and comparisons

• 137,434,622,976 seconds is equal to 4,369 years, 51 weeks, 5 days, 12 hours, 9 minutes, 36 seconds.
• To count from 1 to 137,434,622,976 would take you about eight thousand, seven hundred thirty-nine 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 137434622976 cubic inches would be around 430 feet tall.

Recreational maths with 137434622976

• 137434622976 backwards is 679226434731
• The number of decimal digits it has is: 12
• The sum of 137434622976's digits is 54
• More coming soon!