137312812224

Names of 137312812224

• Cardinal: 137312812224 can be written as One hundred thirty-seven billion, three hundred twelve million, eight hundred twelve thousand, two hundred twenty-four.

Scientific notation

• Scientific notation: 1.37312812224 × 10¹¹

Factors of 137312812224

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 14246

Divisors of 137312812224

• Number of divisors d(n): 280
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 271 288 324 336 378 432 448 504 542 567 576 648 672 756 813 864 1008 1084 1134 1296 1344 1512 1626 1728 1897 2016 2168 2268 2439 2592 3024 3252 3794 4032 4336 4536 4878 5184 5691 6048 6504 7317 7588 8672 9072 9756 11382 12096 13008 13963 14634 15176 17073 17344 18144 19512 21951 22764 26016 27926 29268 30352 34146 36288 39024 41889 43902 45528 51219 52032 55852 58536 60704 68292 78048 83778 87804 91056 97741 102438 111704 117072 121408 125667 136584 153657 156096 167556 175608 182112 195482 204876 223408 234144 251334 273168 293223 307314 335112 351216 364224 377001 390964 409752 446816 468288 502668 546336 586446 614628 670224 702432 754002 781928 819504 879669 893632 1005336 1092672 1131003 1172892 1229256 1340448 1404864 1508004 1563856 1639008 1759338 2010672 2262006 2345784 2458512 2639007 2680896 3016008 3127712 3278016 3518676 3783973 4021344 4524012 4691568 4917024 5278014 6032016 6255424 7037352 7567946 7917021 8042688 9048024 9383136 9834048 10556028 11351919 12064032 14074704 15135892 15834042 18096048 18766272 21112056 22703838 24128064 26487811 28149408 30271784 31668084 34055757 36192096 42224112 45407676 52975622 56298816 60543568 63336168 68111514 72384192 79463433 84448224 90815352 102167271 105951244 121087136 126672336 136223028 158926866 168896448 181630704 204334542 211902488 238390299 242174272 253344672 272446056 306501813 317853732 363261408 408669084 423804976 476780598 506689344 544892112 613003626 635707464 715170897 726522816 817338168 847609952 953561196 1089784224 1226007252 1271414928 1430341794 1634676336 1695219904 1907122392 2145512691 2179568448 2452014504 2542829856 2860683588 3269352672 3814244784 4291025382 4904029008 5085659712 5721367176 6538705344 7628489568 8582050764 9808058016 11442734352 15256979136 17164101528 19616116032 22885468704 34328203056 45770937408 68656406112 137312812224
• Sum of all divisors σ(n): 466936498688
• Sum of proper divisors (its aliquot sum) s(n): 329623686464
• 137312812224 is an abundant number, because the sum of its proper divisors (329623686464) is greater than itself. Its abundance is 192310874240

Bases of 137312812224

• Binary: 1111111111000011110110011110011000000₂
• Hexadecimal: 0x1FF87B3CC0
• Base-36: 1R2WI400

Squares and roots of 137312812224

• 137312812224 squared (137312812224²) is 18854808400863483826176
• 137312812224 cubed (137312812224³) is 2589006765467265274082166143975424
• The square root of 137312812224 is 370557.4344470773
• The cube root of 137312812224 is 5159.0573291477

Scales and comparisons

• 137,312,812,224 seconds is equal to 4,366 years, 6 weeks, 2 days, 15 hours, 50 minutes, 24 seconds.
• To count from 1 to 137,312,812,224 would take you about eight thousand, seven hundred thirty-two 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 137312812224 cubic inches would be around 429.9 feet tall.

Recreational maths with 137312812224

• 137312812224 backwards is 422218213731
• 137312812224 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137312812224's digits is 36
• More coming soon!