138274353669993417676800

138,274,353,669,993,417,676,800 is an even composite number composed of seven prime numbers multiplied together.

What does the number 138274353669993417676800 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 73440 divisors.

138274353669993417676800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seventy-three thousand, four hundred forty divisors.

Prime factorization of 138274353669993417676800:

211 × 316 × 52 × 73 × 114 × 13 × 312

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 11 × 11 × 11 × 11 × 13 × 31 × 31)

See below for interesting mathematical facts about the number 138274353669993417676800 from the Numbermatics database.


Names of 138274353669993417676800

  • Cardinal: 138274353669993417676800 can be written as One hundred thirty-eight sextillion, two hundred seventy-four quintillion, three hundred fifty-three quadrillion, six hundred sixty-nine trillion, nine hundred ninety-three billion, four hundred seventeen million, six hundred seventy-six thousand, eight hundred.

Scientific notation

  • Scientific notation: 1.382743536699934176768 × 1023

Factors of 138274353669993417676800

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 39
  • Sum of prime factors: 72

Divisors of 138274353669993417676800

Bases of 138274353669993417676800

  • Binary: 111010100011111011110001000111011010111101111011000001010100000011000000000002
  • Hexadecimal: 0x1D47DE23B5EF60A81800
  • Base-36: MILRPQ23DI00000

Squares and roots of 138274353669993417676800

  • 138274353669993417676800 squared (1382743536699934176768002) is 19119796882854422135927745951038978709258240000
  • 138274353669993417676800 cubed (1382743536699934176768003) is 2643777556278250072864148656854826335243876751188078543432056832000000
  • The square root of 138274353669993417676800 is 371852596696.5854303079
  • The cube root of 138274353669993417676800 is 51710715.3505976383

Scales and comparisons

How big is 138274353669993417676800?
  • 138,274,353,669,993,417,676,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,274,353,669,993,417,676,800 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 138274353669993417676800 cubic inches would be around 4309226.3 feet tall.

Recreational maths with 138274353669993417676800

  • 138274353669993417676800 backwards is 008676714399966353472831
  • 138274353669993417676800 is a Harshad number.
  • The number of decimal digits it has is: 24
  • The sum of 138274353669993417676800's digits is 117
  • More coming soon!

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The information we have on file for 138274353669993417676800 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

Keywords: Divisors of 138274353669993417676800, math, Factors of 138274353669993417676800, curriculum, school, college, exams, university, Prime factorization of 138274353669993417676800, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight sextillion, two hundred seventy-four quintillion, three hundred fifty-three quadrillion, six hundred sixty-nine trillion, nine hundred ninety-three billion, four hundred seventeen million, six hundred seventy-six thousand, eight hundred.

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