138508441871561216001

Names of 138508441871561216001

• Cardinal: 138508441871561216001 can be written as One hundred thirty-eight quintillion, five hundred eight quadrillion, four hundred forty-one trillion, eight hundred seventy-one billion, five hundred sixty-one million, two hundred sixteen thousand and one.

Scientific notation

• Scientific notation: 1.38508441871561216001 × 10²⁰

Factors of 138508441871561216001

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 94364790962

Divisors of 138508441871561216001

• Number of divisors d(n): 24
• Complete list of divisors:
  1 3 9 47 141 423 3470099 10410297 31230891 163094653 489283959 1467851877 94361320813 283083962439 849251887317 4434982078211 13304946234633 39914838703899 327443124991870487 982329374975611461 2946988124926834383 15389826874617912889 46169480623853738667 138508441871561216001
• Sum of all divisors σ(n): 204324568878556713600
• Sum of proper divisors (its aliquot sum) s(n): 65816127006995497599
• 138508441871561216001 is a deficient number, because the sum of its proper divisors (65816127006995497599) is less than itself. Its deficiency is 72692314864565718402

Bases of 138508441871561216001

• Binary: 1111000001000110000110101100000100001110011001111110101000000000001₂
• Hexadecimal: 0x78230D608733F5001
• Base-36: T8BLKVYY70CU9

Squares and roots of 138508441871561216001

• 138508441871561216001 squared (138508441871561216001²) is 19184588469687652288344482119141778432001
• 138508441871561216001 cubed (138508441871561216001³) is 2657227456883555730528410646359091103521692789157506651648001
• The square root of 138508441871561216001 is 11768960951.2293486919
• The cube root of 138508441871561216001 is 5173987.9698079417

Scales and comparisons

• 138,508,441,871,561,216,001 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 138,508,441,871,561,216,001 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 138508441871561216001 cubic inches would be around 431165.7 feet tall.

Recreational maths with 138508441871561216001

• 138508441871561216001 backwards is 100612165178144805831
• The number of decimal digits it has is: 21
• The sum of 138508441871561216001's digits is 72
• More coming soon!