138679395621148800

138,679,395,621,148,800 is an even composite number composed of eight prime numbers multiplied together.

What does the number 138679395621148800 look like?

This visualization shows the relationship between its 8 prime factors (large circles) and 18144 divisors.

138679395621148800 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of eighteen thousand, one hundred forty-four divisors.

Prime factorization of 138679395621148800:

27 × 36 × 52 × 112 × 172 × 29 × 312 × 61

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 11 × 11 × 17 × 17 × 29 × 31 × 31 × 61)

See below for interesting mathematical facts about the number 138679395621148800 from the Numbermatics database.


Names of 138679395621148800

  • Cardinal: 138679395621148800 can be written as One hundred thirty-eight quadrillion, six hundred seventy-nine trillion, three hundred ninety-five billion, six hundred twenty-one million, one hundred forty-eight thousand, eight hundred.

Scientific notation

  • Scientific notation: 1.386793956211488 × 1017

Factors of 138679395621148800

  • Number of distinct prime factors ω(n): 8
  • Total number of prime factors Ω(n): 23
  • Sum of prime factors: 159

Divisors of 138679395621148800

Bases of 138679395621148800

  • Binary: 1111011001011000000101100111100011010101000011000100000002
  • Hexadecimal: 0x1ECB02CF1AA1880
  • Base-36: 11XHQQUCY000

Squares and roots of 138679395621148800

  • 138679395621148800 squared (1386793956211488002) is 19231974769847104963777831741440000
  • 138679395621148800 cubed (1386793956211488003) is 2667078637683578808799012052039339281597366272000000
  • The square root of 138679395621148800 is 372396825.4713630075
  • The cube root of 138679395621148800 is 517611.5755856015

Scales and comparisons

How big is 138679395621148800?
  • 138,679,395,621,148,800 seconds is equal to 4,409,575,817 years, 11 weeks, 2 days.
  • To count from 1 to 138,679,395,621,148,800 would take you about thirteen billion, two hundred twenty-eight million, seven hundred twenty-seven thousand, four hundred fifty-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 138679395621148800 cubic inches would be around 43134.3 feet tall.

Recreational maths with 138679395621148800

  • 138679395621148800 backwards is 008841126593976831
  • 138679395621148800 is a Harshad number.
  • The number of decimal digits it has is: 18
  • The sum of 138679395621148800's digits is 81
  • More coming soon!

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"Number 138679395621148800 - Facts about the integer". Numbermatics.com. 2024. Web. 25 September 2024.

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Numbermatics. (2024). Number 138679395621148800 - Facts about the integer. Retrieved 25 September 2024, from https://numbermatics.com/n/138679395621148800/

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The information we have on file for 138679395621148800 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 138679395621148800, math, Factors of 138679395621148800, curriculum, school, college, exams, university, Prime factorization of 138679395621148800, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, six hundred seventy-nine trillion, three hundred ninety-five billion, six hundred twenty-one million, one hundred forty-eight thousand, eight hundred.

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