138125039617202799681

Names of 138125039617202799681

• Cardinal: 138125039617202799681 can be written as One hundred thirty-eight quintillion, one hundred twenty-five quadrillion, thirty-nine trillion, six hundred seventeen billion, two hundred two million, seven hundred ninety-nine thousand, six hundred eighty-one.

Scientific notation

• Scientific notation: 1.38125039617202799681 × 10²⁰

Factors of 138125039617202799681

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 7435

Divisors of 138125039617202799681

• Number of divisors d(n): 162
• Complete list of divisors:
  1 3 9 13 29 39 87 117 169 261 377 507 841 1131 1521 1889 2523 3393 4901 5501 5667 7569 10933 14703 16503 17001 24557 32799 44109 49509 54781 71513 73671 98397 142129 159529 164343 214539 221013 319241 426387 478587 493029 643617 712153 929669 957723 1279161 1435761 1588649 2073877 2136459 2789007 2873169 3568321 4626341 4765947 6221631 6409377 8367021 9257989 10391389 10704963 13879023 14297841 18664893 20652437 26960401 27773967 31174167 32114889 41637069 46388173 60142433 61957311 80881203 83321901 93522501 103481309 135088057 139164519 180427299 185871933 242643609 268481681 301350281 310443927 405264171 417493557 541281897 603046249 781851629 805445043 904050843 931331781 1215792513 1345257017 1756144741 1809138747 2345554887 2416335129 2712152529 3000957961 3917553653 4035771051 5268434223 5427416241 7036664661 8739158149 9002873883 11752660959 12107313153 15805302669 17488341221 19629333821 26217474447 27008621649 35257982877 39012453493 50928197489 52465023663 58888001463 78652423341 113609055937 117037360479 152784592467 157395070989 176664004389 255181339673 340827167811 351112081437 458353777401 507161895409 569250680809 765544019019 1022481503433 1476917727181 1521485686227 1707752042427 2296632057057 3317357415749 4430753181543 4564457058681 5123256127281 7400258850517 9952072247247 13292259544629 16508269743461 22200776551551 29856216741741 49524809230383 66602329654653 96203365056721 148574427691149 214607506664993 288610095170163 643822519994979 865830285510489 1931467559984937 2789897586644909 8369692759934727 25109078279804181
• Sum of all divisors σ(n): 138140633599553179998
• Sum of proper divisors (its aliquot sum) s(n): 15593982350380317
• 138125039617202799681 is a deficient number, because the sum of its proper divisors (15593982350380317) is less than itself. Its deficiency is 138109445634852419364

Bases of 138125039617202799681

• Binary: 1110111110011011110101101111011011011001010001000010100010001000001₂
• Hexadecimal: 0x77CDEB7B6CA214441
• Base-36: T5EQG4QU2V4U9

Squares and roots of 138125039617202799681

• 138125039617202799681 squared (138125039617202799681²) is 19078526569253842934633921052064613701761
• 138125039617202799681 cubed (138125039617202799681³) is 2635222238216043268578000590463642950240677035715642359938241
• 138125039617202799681 is a perfect square number. Its square root is 11752660959
• The cube root of 138125039617202799681 is 5169209.5562858809

Scales and comparisons

• 138,125,039,617,202,799,681 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 138,125,039,617,202,799,681 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 138125039617202799681 cubic inches would be around 430767.5 feet tall.

Recreational maths with 138125039617202799681

• 138125039617202799681 backwards is 186997202716930521831
• The number of decimal digits it has is: 21
• The sum of 138125039617202799681's digits is 90
• More coming soon!