137256432768

Names of 137256432768

• Cardinal: 137256432768 can be written as One hundred thirty-seven billion, two hundred fifty-six million, four hundred thirty-two thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 1.37256432768 × 10¹¹

Factors of 137256432768

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 1351

Divisors of 137256432768

• Number of divisors d(n): 512
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 52 54 56 63 64 72 78 84 91 96 104 108 112 117 126 128 144 156 168 182 189 192 208 216 224 234 252 273 288 312 336 351 364 378 384 416 432 448 468 504 546 576 607 624 672 702 719 728 756 819 832 864 896 936 1008 1092 1152 1214 1248 1344 1404 1438 1456 1512 1638 1664 1728 1821 1872 2016 2157 2184 2428 2457 2496 2688 2808 2876 2912 3024 3276 3456 3642 3744 4032 4249 4314 4368 4856 4914 4992 5033 5463 5616 5752 5824 6048 6471 6552 7284 7488 7891 8064 8498 8628 8736 9347 9712 9828 10066 10926 11232 11504 11648 12096 12747 12942 13104 14568 14976 15099 15782 16389 16996 17256 17472 18694 19413 19424 19656 20132 21852 22464 23008 23673 24192 25494 25884 26208 28041 29136 30198 31564 32778 33992 34512 34944 37388 38241 38826 38848 39312 40264 43704 44928 45297 46016 47346 50988 51768 52416 55237 56082 58272 60396 63128 65429 65556 67984 69024 71019 74776 76482 77652 77696 78624 80528 84123 87408 90594 92032 94692 101976 103536 104832 110474 112164 114723 116544 120792 126256 130858 131112 135891 135968 138048 142038 149552 152964 155304 157248 161056 165711 168246 174816 181188 189384 196287 203952 207072 213057 220948 224328 229446 233088 241584 252369 252512 261716 262224 271782 271936 276096 284076 299104 305928 310608 314496 322112 331422 336492 349632 362376 378768 392574 407904 414144 426114 436433 441896 448656 458892 483168 497133 504738 505024 523432 524448 543564 543872 568152 588861 598208 611856 621216 644224 662844 672984 699264 724752 757536 785148 815808 828288 852228 872866 883792 897312 917784 966336 994266 1009476 1010048 1046864 1048896 1087128 1136304 1177722 1196416 1223712 1242432 1309299 1325688 1345968 1449504 1491399 1515072 1570296 1631616 1704456 1745732 1766583 1767584 1794624 1835568 1932672 1988532 2018952 2093728 2097792 2174256 2272608 2355444 2447424 2484864 2618598 2651376 2691936 2899008 2982798 3030144 3055031 3140592 3408912 3491464 3533166 3535168 3589248 3671136 3927897 3977064 4037904 4187456 4348512 4545216 4710888 4894848 5237196 5302752 5383872 5673629 5798016 5965596 6110062 6281184 6817824 6982928 7066332 7070336 7342272 7855794 7954128 8075808 8374912 8697024 9090432 9165093 9421776 10474392 10605504 10767744 11347258 11783691 11931192 12220124 12562368 13635648 13965856 14132664 14684544 15711588 15908256 16151616 17020887 17394048 18330186 18843552 20948784 21211008 22694516 23567382 23862384 24440248 25124736 27271296 27495279 27931712 28265328 31423176 31816512 32303232 34041774 36660372 37687104 39715403 41897568 45389032 47134764 47724768 48880496 51062661 54990558 55863424 56530656 62846352 63633024 68083548 73320744 75374208 79430806 82485837 83795136 90778064 94269528 95449536 97760992 102125322 109981116 113061312 119146209 125692704 136167096 146641488 153187983 158861612 164971674 167590272 181556128 188539056 190899072 195521984 204250644 219962232 226122624 238292418 251385408 272334192 293282976 306375966 317723224 329943348 357438627 363112256 377078112 391043968 408501288 439924464 476584836 502770816 544668384 586565952 612751932 635446448 659886696 714877254 726224512 754156224 817002576 879848928 953169672 1072315881 1089336768 1173131904 1225503864 1270892896 1319773392 1429754508 1508312448 1634005152 1759697856 1906339344 2144631762 2178673536 2451007728 2541785792 2639546784 2859509016 3268010304 3519395712 3812678688 4289263524 4902015456 5083571584 5279093568 5719018032 6536020608 7625357376 8578527048 9804030912 10558187136 11438036064 15250714752 17157054096 19608061824 22876072128 34314108192 45752144256 68628216384 137256432768
• Sum of all divisors σ(n): 500097024000
• Sum of proper divisors (its aliquot sum) s(n): 362840591232
• 137256432768 is an abundant number, because the sum of its proper divisors (362840591232) is greater than itself. Its abundance is 225584158464

Bases of 137256432768

• Binary: 1111111110101000111101111010010000000₂
• Hexadecimal: 0x1FF51EF480
• Base-36: 1R1YXPC0

Squares and roots of 137256432768

• 137256432768 squared (137256432768²) is 18839328336196504141824
• 137256432768 cubed (137256432768³) is 2585819003171432771578899392888832
• The square root of 137256432768 is 370481.3527939027
• The cube root of 137256432768 is 5158.3511443451

Scales and comparisons

• 137,256,432,768 seconds is equal to 4,364 years, 17 weeks, 1 day, 2 hours, 52 minutes, 48 seconds.
• To count from 1 to 137,256,432,768 would take you about eight thousand, seven hundred twenty-eight 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 137256432768 cubic inches would be around 429.9 feet tall.

Recreational maths with 137256432768

• 137256432768 backwards is 867234652731
• 137256432768 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137256432768's digits is 54
• More coming soon!