138431933686613606400

138,431,933,686,613,606,400 is an even composite number composed of four prime numbers multiplied together.

What does the number 138431933686613606400 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 2907 divisors.

138431933686613606400 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two thousand, nine hundred seven divisors.

Prime factorization of 138431933686613606400:

216 × 318 × 52 × 4672

(2 × 2 × 2 × 2 × 2 × 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 × 3 × 3 × 5 × 5 × 467 × 467)

See below for interesting mathematical facts about the number 138431933686613606400 from the Numbermatics database.


Names of 138431933686613606400

  • Cardinal: 138431933686613606400 can be written as One hundred thirty-eight quintillion, four hundred thirty-one quadrillion, nine hundred thirty-three trillion, six hundred eighty-six billion, six hundred thirteen million, six hundred six thousand, four hundred.

Scientific notation

  • Scientific notation: 1.384319336866136064 × 1020

Factors of 138431933686613606400

  • Number of distinct prime factors ω(n): 4
  • Total number of prime factors Ω(n): 38
  • Sum of prime factors: 477

Divisors of 138431933686613606400

Bases of 138431933686613606400

  • Binary: 11110000001001000010000011000111110100000010000100100000000000000002
  • Hexadecimal: 0x78121063E81090000
  • Base-36: T7QO900000000

Squares and roots of 138431933686613606400

  • 138431933686613606400 squared (1384319336866136064002) is 19163400264214986987544586893614120960000
  • 138431933686613606400 cubed (1384319336866136064003) is 2652826554585842742555009167816528808411180402311430144000000
  • 138431933686613606400 is a perfect square number. Its square root is 11765710080
  • The cube root of 138431933686613606400 is 5173035.1389877441

Scales and comparisons

How big is 138431933686613606400?
  • 138,431,933,686,613,606,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,431,933,686,613,606,400 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 138431933686613606400 cubic inches would be around 431086.3 feet tall.

Recreational maths with 138431933686613606400

  • 138431933686613606400 backwards is 004606316686339134831
  • 138431933686613606400 is a Harshad number.
  • The number of decimal digits it has is: 21
  • The sum of 138431933686613606400's digits is 81
  • More coming soon!

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"Number 138431933686613606400 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.

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Numbermatics. (2024). Number 138431933686613606400 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/138431933686613606400/

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The information we have on file for 138431933686613606400 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 138431933686613606400, math, Factors of 138431933686613606400, curriculum, school, college, exams, university, Prime factorization of 138431933686613606400, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, four hundred thirty-one quadrillion, nine hundred thirty-three trillion, six hundred eighty-six billion, six hundred thirteen million, six hundred six thousand, four hundred.

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