138374903375912490001

Names of 138374903375912490001

• Cardinal: 138374903375912490001 can be written as One hundred thirty-eight quintillion, three hundred seventy-four quadrillion, nine hundred three trillion, three hundred seventy-five billion, nine hundred twelve million, four hundred ninety thousand and one.

Scientific notation

• Scientific notation: 1.38374903375912490001 × 10²⁰

Factors of 138374903375912490001

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 82560

Divisors of 138374903375912490001

• Number of divisors d(n): 81
• Complete list of divisors:
  1 11 13 121 143 169 1009 1573 1859 11099 13117 20449 81527 122089 144287 170521 896797 1018081 1059851 1587157 1875731 9864767 11198891 11658361 13235053 13778063 20633041 82260743 123187801 128241971 145585583 151558693 172055689 904868173 1069389659 1601441413 1667145623 1892612579 6646651729 9953549903 11763286249 13902065567 20818738369 73113169019 83001089687 86406472477 129396148739 152922721237 804244859209 913011986557 950471197247 1079014165931 1123284142201 1682149933607 6706471594561 10043131852127 10455183169717 11869155825241 12356125564211 14027184157103 73771187540171 87184130729293 130560714077651 135917381206321 154299025728133 811483062941881 959025438022223 1133393699480809 1697289283009463 6766829838912049 10549279818244453 12467330694288899 74435128228032539 87968787905856637 137140637637177889 818786410508357929 967656666964423007 1143594242776136281 10644223336608653077 12579536670537499091 138374903375912490001
• Sum of all divisors σ(n): 164863284226730870193
• Sum of proper divisors (its aliquot sum) s(n): 26488380850818380192
• 138374903375912490001 is a deficient number, because the sum of its proper divisors (26488380850818380192) is less than itself. Its deficiency is 111886522525094109809

Bases of 138374903375912490001

• Binary: 1111000000001010110011010010111101010001110010000111101010000010001₂
• Hexadecimal: 0x78056697A8E43D411
• Base-36: T7B2PFWY7JIMP

Squares and roots of 138374903375912490001

• 138374903375912490001 squared (138374903375912490001²) is 19147613884293117822063889944751924980001
• 138374903375912490001 cubed (138374903375912490001³) is 2649549221118340615018007455147429904210637756373128037470001
• 138374903375912490001 is a perfect square number. Its square root is 11763286249
• The cube root of 138374903375912490001 is 5172324.6566683253

Scales and comparisons

• 138,374,903,375,912,490,001 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 138,374,903,375,912,490,001 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 138374903375912490001 cubic inches would be around 431027.1 feet tall.

Recreational maths with 138374903375912490001

• 138374903375912490001 backwards is 100094219573309473831
• The number of decimal digits it has is: 21
• The sum of 138374903375912490001's digits is 79
• More coming soon!