137707029202464

Names of 137707029202464

• Cardinal: 137707029202464 can be written as One hundred thirty-seven trillion, seven hundred seven billion, twenty-nine million, two hundred two thousand, four hundred sixty-four.

Scientific notation

• Scientific notation: 1.37707029202464 × 10¹⁴

Factors of 137707029202464

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 20187

Divisors of 137707029202464

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 113 144 216 226 257 281 288 339 432 452 514 562 678 771 843 864 904 1017 1028 1124 1356 1542 1686 1808 2034 2056 2248 2313 2529 2712 3051 3084 3372 3616 4068 4112 4496 4626 5058 5424 6102 6168 6744 6939 7587 8136 8224 8992 9252 10116 10848 12204 12336 13488 13878 15174 16272 18504 19531 20232 24408 24672 26976 27756 29041 30348 31753 32544 37008 39062 40464 48816 55512 58082 58593 60696 63506 72217 74016 78124 80928 87123 95259 97632 111024 116164 117186 121392 127012 144434 156248 174246 175779 190518 216651 222048 232328 234372 242784 254024 261369 285777 288868 312496 348492 351558 381036 433302 464656 468744 508048 522738 527337 571554 577736 624992 649953 696984 703116 762072 784107 857331 866604 929312 937488 1016096 1045476 1054674 1143108 1155472 1299906 1393968 1406232 1524144 1568214 1714662 1733208 1874976 1949859 2090952 2109348 2207003 2286216 2310944 2599812 2787936 2812464 3048288 3136428 3429324 3466416 3899718 4181904 4218696 4414006 4572432 5019467 5199624 5488211 5624928 6272856 6621009 6858648 6932832 7799436 8160521 8363808 8437392 8828012 9144864 10038934 10399248 10976422 12545712 13242018 13717296 15058401 15598872 16321042 16464633 16874784 17656024 19863027 20077868 20798496 21952844 24481563 25091424 26484036 27434592 30116802 31197744 32642084 32929266 35312048 39726054 40155736 43905688 45175203 48963126 49393899 52968072 59589081 60233604 62395488 65284168 65858532 70624096 73444689 79452108 80311472 87811376 90350406 97926252 98787798 105936144 119178162 120467208 130568336 131717064 135525609 146889378 148181697 158904216 160622944 175622752 180700812 195852504 197575596 211872288 220334067 238356324 240934416 261136672 263434128 271051218 293778756 296363394 317808432 361401624 391705008 395151192 440668134 476712648 481868832 526868256 542102436 567199771 587557512 592726788 620167843 635616864 722803248 783410016 790302384 881336268 953425296 1084204872 1134399542 1175115024 1185453576 1240335686 1410470227 1445606496 1580604768 1701599313 1762672536 1860503529 1906850592 2168409744 2268799084 2350230048 2370907152 2480671372 2820940454 3403198626 3525345072 3721007058 4231410681 4336819488 4537598168 4741814304 4961342744 5104797939 5581510587 5641880908 6806397252 7050690144 7442014116 8462821362 9075196336 9922685488 10209595878 11163021174 11283761816 12694232043 13612794504 14884028232 15314393817 16744531761 16925642724 18150392672 19845370976 20419191756 22326042348 22567523632 25388464086 27225589008 29768056464 30628787634 33489063522 33851285448 38082696129 40838383512 44652084696 45135047264 50776928172 54451178016 59536112928 61257575268 66978127044 67702570896 76165392258 81676767024 89304169392 101553856344 122515150536 133956254088 135405141792 152330784516 159383135651 163353534048 178608338784 203107712688 245030301072 267912508176 304661569032 318766271302 406215425376 478149406953 490060602144 535825016352 609323138064 637532542604 956298813906 1218646276128 1275065085208 1434448220859 1912597627812 2550130170416 2868896441718 3825195255624 4303344662577 5100260340832 5737792883436 7650390511248 8606689325154 11475585766872 15300781022496 17213378650308 22951171533744 34426757300616 45902343067488 68853514601232 137707029202464
• Sum of all divisors σ(n): 408245044757760
• Sum of proper divisors (its aliquot sum) s(n): 270538015555296
• 137707029202464 is an abundant number, because the sum of its proper divisors (270538015555296) is greater than itself. Its abundance is 132830986352832

Bases of 137707029202464

• Binary: 11111010011111001101010100011110000011000100000₂
• Hexadecimal: 0x7D3E6A8F0620
• Base-36: 1CT9QHP3C0

Squares and roots of 137707029202464

• 137707029202464 squared (137707029202464²) is 18963225891768272879903671296
• 137707029202464 cubed (137707029202464³) is 2611369501650654981703779980721556489273344
• The square root of 137707029202464 is 11734863.8339975637
• The cube root of 137707029202464 is 51639.8972829871

Scales and comparisons

• 137,707,029,202,464 seconds is equal to 4,378,657 years, 29 weeks, 5 days, 12 hours, 14 minutes, 24 seconds.
• To count from 1 to 137,707,029,202,464 would take you about ten million, nine hundred forty-six thousand, six hundred forty-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 137707029202464 cubic inches would be around 4303.3 feet tall.

Recreational maths with 137707029202464

• 137707029202464 backwards is 464202920707731
• 137707029202464 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 137707029202464's digits is 54
• More coming soon!