137904975728208

Names of 137904975728208

• Cardinal: 137904975728208 can be written as One hundred thirty-seven trillion, nine hundred four billion, nine hundred seventy-five million, seven hundred twenty-eight thousand, two hundred eight.

Scientific notation

• Scientific notation: 1.37904975728208 × 10¹⁴

Factors of 137904975728208

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 4136

Divisors of 137904975728208

• Number of divisors d(n): 270
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 67 72 78 104 117 134 144 156 201 208 234 268 312 402 468 536 603 624 804 871 936 1072 1206 1608 1742 1872 2412 2613 3216 3484 4051 4489 4824 5226 6968 7839 8102 8978 9648 10452 12153 13467 13936 15678 16204 17956 20904 24306 26934 31356 32408 35912 36459 40401 41808 48612 52663 53868 58357 62712 64816 71824 72918 80802 97224 105326 107736 116714 125424 145836 157989 161604 175071 194448 210652 215472 233428 271417 291672 315978 323208 350142 421304 466856 473967 525213 542834 583344 631956 646416 700284 814251 842608 933712 947934 1050426 1085668 1263912 1400568 1628502 1895868 2100852 2171336 2442753 2527824 2801136 3257004 3528421 3791736 4201704 4342672 4885506 6514008 7056842 7583472 8403408 9771012 10585263 13028016 14113684 16410601 18184939 19542024 21170526 28227368 31755789 32821202 36369878 39084048 42341052 49231803 54554817 56454736 63511578 65642404 72739756 84682104 98463606 109109634 127023156 131284808 145479512 147695409 163664451 169364208 196927212 213337813 218219268 236404207 254046312 262569616 290959024 295390818 327328902 393854424 426675626 436438536 472808414 508092624 590781636 640013439 654657804 709212621 787708848 853351252 872877072 945616828 1099510267 1181563272 1280026878 1309315608 1418425242 1706702504 1891233656 1920040317 2127637863 2199020534 2363126544 2560053756 2618631216 2836850484 3298530801 3413405008 3782467312 3840080634 4255275726 4398041068 5120107512 5673700968 6597061602 7680161268 8510551452 8796082136 9895592403 10240215024 11347401936 13194123204 14293633471 15360322536 17021102904 17592164272 19791184806 26388246408 28587266942 30720645072 34042205808 39582369612 42880900413 52776492816 57174533884 73667187889 79164739224 85761800826 114349067768 128642701239 147334375778 158329478448 171523601652 221001563667 228698135536 257285402478 294668751556 343047203304 442003127334 514570804956 589337503112 663004691001 686094406608 884006254668 957673442557 1029141609912 1178675006224 1326009382002 1768012509336 1915346885114 2058283219824 2652018764004 2873020327671 3536025018672 3830693770228 5304037528008 5746040655342 7661387540456 8619060983013 10608075056016 11492081310684 15322775080912 17238121966026 22984162621368 34476243932052 45968325242736 68952487864104 137904975728208
• Sum of all divisors σ(n): 422030478933882
• Sum of proper divisors (its aliquot sum) s(n): 284125503205674
• 137904975728208 is an abundant number, because the sum of its proper divisors (284125503205674) is greater than itself. Its abundance is 146220527477466

Bases of 137904975728208

• Binary: 11111010110110010000001000101110100111001010000₂
• Hexadecimal: 0x7D6C81174E50
• Base-36: 1CVSO5Y440

Squares and roots of 137904975728208

• 137904975728208 squared (137904975728208²) is 19017782330597637599886891264
• 137904975728208 cubed (137904975728208³) is 2622646810705410183671306223928071713574912
• The square root of 137904975728208 is 11743294.9263913149
• The cube root of 137904975728208 is 51664.6286381279

Scales and comparisons

• 137,904,975,728,208 seconds is equal to 4,384,951 years, 34 weeks, 2 days, 6 hours, 16 minutes, 48 seconds.
• To count from 1 to 137,904,975,728,208 would take you about ten million, nine hundred sixty-two thousand, three hundred seventy-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 137904975728208 cubic inches would be around 4305.4 feet tall.

Recreational maths with 137904975728208

• 137904975728208 backwards is 802827579409731
• 137904975728208 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 137904975728208's digits is 72
• More coming soon!