138546977398334593

Names of 138546977398334593

• Cardinal: 138546977398334593 can be written as One hundred thirty-eight quadrillion, five hundred forty-six trillion, nine hundred seventy-seven billion, three hundred ninety-eight million, three hundred thirty-four thousand, five hundred ninety-three.

Scientific notation

• Scientific notation: 1.38546977398334593 × 10¹⁷

Factors of 138546977398334593

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 224

Divisors of 138546977398334593

• Number of divisors d(n): 128
• Complete list of divisors:
  1 11 29 71 113 319 781 841 1243 2059 3277 5041 8023 9251 12769 22649 24389 36047 55451 59711 88253 95033 140459 146189 232667 268279 357911 370301 569633 656821 906599 1045363 1442897 1608079 1731619 2559337 2755957 3937021 4073311 4239481 6265963 6747343 9972589 10379419 10738729 15871867 16519357 19047809 26291371 30315527 40443943 41844013 46634291 64368529 74220773 102445687 114173609 118126019 122944949 181712927 195672947 289205081 301003151 311423141 444883373 460284143 479061353 708053819 762449759 1126902557 1172874347 1213476377 1352394439 1866687341 2152402417 2970924923 3311034661 3425654551 4570165559 5269674883 7273643777 8386947349 8729091379 12901617817 13348240147 13892779237 20533560751 22111043011 32680174153 34013356063 35190814933 50271821149 54133932889 80010081547 86156822767 96020005169 132534801211 152820571607 210935669533 243221473121 374146916693 387098964263 516428708167 595473261779 947725050437 986387325827 1457882813321 1569884053781 2320292364863 2498547860243 3843509235119 5680715789837 6117134416457 10850260584097 14976432536843 17268724591591 27484026462673 42278601586309 67288478581027 111461767818451 164740757905273 177396898077253 434316543568447 1226079446002961 1951365878849783 4777481979252917 12595179763484963 138546977398334593
• Sum of all divisors σ(n): 160193790821606400
• Sum of proper divisors (its aliquot sum) s(n): 21646813423271807
• 138546977398334593 is a deficient number, because the sum of its proper divisors (21646813423271807) is less than itself. Its deficiency is 116900163975062786

Bases of 138546977398334593

• Binary: 111101100001101111011110111101100100010000010010010000001₂
• Hexadecimal: 0x1EC37BDEC882481
• Base-36: 11W6SYR20NEP

Squares and roots of 138546977398334593

• 138546977398334593 squared (138546977398334593²) is 19195264946214636548021169980475649
• 138546977398334593 cubed (138546977398334593³) is 2659445938658243536759622572796987890619658590825857
• The square root of 138546977398334593 is 372218991.1844028855
• The cube root of 138546977398334593 is 517446.7757324909

Scales and comparisons

• 138,546,977,398,334,593 seconds is equal to 4,405,365,327 years, 17 weeks, 9 hours, 23 minutes, 13 seconds.
• To count from 1 to 138,546,977,398,334,593 would take you about thirteen billion, two hundred sixteen million, ninety-five thousand, nine hundred eighty-one 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 138546977398334593 cubic inches would be around 43120.6 feet tall.

Recreational maths with 138546977398334593

• 138546977398334593 backwards is 395433893779645831
• The number of decimal digits it has is: 18
• The sum of 138546977398334593's digits is 97
• More coming soon!