138759809919964329768

Names of 138759809919964329768

• Cardinal: 138759809919964329768 can be written as One hundred thirty-eight quintillion, seven hundred fifty-nine quadrillion, eight hundred nine trillion, nine hundred nineteen billion, nine hundred sixty-four million, three hundred twenty-nine thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 1.38759809919964329768 × 10²⁰

Factors of 138759809919964329768

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 908818613

Divisors of 138759809919964329768

• Number of divisors d(n): 48
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 908818601 1817637202 2726455803 3635274404 5452911606 6361730207 7270548808 10905823212 12723460414 19085190621 21811646424 25446920828 38170381242 50893841656 76340762484 152681524968 825951249523597201 1651902499047194402 2477853748570791603 3303804998094388804 4955707497141583206 5781658746665180407 6607609996188777608 9911414994283166412 11563317493330360814 17344976239995541221 19822829988566332824 23126634986660721628 34689952479991082442 46253269973321443256 69379904959982164884 138759809919964329768
• Sum of all divisors σ(n): 396456600207559585440
• Sum of proper divisors (its aliquot sum) s(n): 257696790287595255672
• 138759809919964329768 is an abundant number, because the sum of its proper divisors (257696790287595255672) is greater than itself. Its abundance is 118936980367630925904

Bases of 138759809919964329768

• Binary: 1111000010110101101110111111111000011110100001100101011011100101000₂
• Hexadecimal: 0x785ADDFF0F432B728
• Base-36: TA8CNFA7JJJ8O

Squares and roots of 138759809919964329768

• 138759809919964329768 squared (138759809919964329768²) is 19254284849024631217175756669485450933824
• 138759809919964329768 cubed (138759809919964329768³) is 2671720905795506920285847441120742334157728645378645881272832
• The square root of 138759809919964329768 is 11779635389.9415889251
• The cube root of 138759809919964329768 is 5177116.0325278449

Scales and comparisons

• 138,759,809,919,964,329,768 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 138,759,809,919,964,329,768 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 138759809919964329768 cubic inches would be around 431426.3 feet tall.

Recreational maths with 138759809919964329768

• 138759809919964329768 backwards is 867923469919908957831
• The number of decimal digits it has is: 21
• The sum of 138759809919964329768's digits is 123
• More coming soon!