137435949504

Names of 137435949504

• Cardinal: 137435949504 can be written as One hundred thirty-seven billion, four hundred thirty-five million, nine hundred forty-nine thousand, five hundred four.

Scientific notation

• Scientific notation: 1.37435949504 × 10¹¹

Factors of 137435949504

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 1623169

Divisors of 137435949504

• Number of divisors d(n): 168
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 84 96 98 108 112 126 144 147 168 189 192 196 216 224 252 288 294 336 378 392 432 441 448 504 576 588 672 756 784 864 882 1008 1176 1323 1344 1512 1568 1728 1764 2016 2352 2646 3024 3136 3528 4032 4704 5292 6048 7056 9408 10584 12096 14112 21168 28224 42336 84672 1623157 3246314 4869471 6492628 9738942 11362099 12985256 14608413 19477884 22724198 25970512 29216826 34086297 38955768 43825239 45448396 51941024 58433652 68172594 77911536 79534693 87650478 90896792 102258891 103882048 116867304 136345188 155823072 159069386 175300956 181793584 204517782 233734608 238604079 272690376 306776673 311646144 318138772 350601912 363587168 409035564 467469216 477208158 545380752 613553346 636277544 701203824 715812237 727174336 818071128 934938432 954416316 1090761504 1227106692 1272555088 1402407648 1431624474 1636142256 1908832632 2147436711 2181523008 2454213384 2545110176 2804815296 2863248948 3272284512 3817665264 4294873422 4908426768 5090220352 5726497896 6544569024 7635330528 8589746844 9816853536 11452995792 15270661056 17179493688 19633707072 22905991584 34358987376 45811983168 68717974752 137435949504
• Sum of all divisors σ(n): 470001630480
• Sum of proper divisors (its aliquot sum) s(n): 332565680976
• 137435949504 is an abundant number, because the sum of its proper divisors (332565680976) is greater than itself. Its abundance is 195129731472

Bases of 137435949504

• Binary: 1111111111111110100100010100111000000₂
• Hexadecimal: 0x1FFFD229C0
• Base-36: 1R4XTDC0

Squares and roots of 137435949504

• 137435949504 squared (137435949504²) is 18888640216066037846016
• 137435949504 cubed (137435949504³) is 2595978202934475626934407903576064
• The square root of 137435949504 is 370723.5486234993
• The cube root of 137435949504 is 5160.5990218579

Scales and comparisons

• 137,435,949,504 seconds is equal to 4,370 years, 1 week, 6 days, 20 hours, 38 minutes, 24 seconds.
• To count from 1 to 137,435,949,504 would take you about eight thousand, seven hundred forty 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 137435949504 cubic inches would be around 430 feet tall.

Recreational maths with 137435949504

• 137435949504 backwards is 405949534731
• 137435949504 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137435949504's digits is 54
• More coming soon!