138039446441981952000

138,039,446,441,981,952,000 is an even composite number composed of seven prime numbers multiplied together.

What does the number 138039446441981952000 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 43200 divisors.

138039446441981952000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of forty-three thousand, two hundred divisors.

Prime factorization of 138039446441981952000:

214 × 37 × 53 × 74 × 192 × 312 × 37

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 19 × 19 × 31 × 31 × 37)

See below for interesting mathematical facts about the number 138039446441981952000 from the Numbermatics database.


Names of 138039446441981952000

  • Cardinal: 138039446441981952000 can be written as One hundred thirty-eight quintillion, thirty-nine quadrillion, four hundred forty-six trillion, four hundred forty-one billion, nine hundred eighty-one million, nine hundred fifty-two thousand.

Scientific notation

  • Scientific notation: 1.38039446441981952 × 1020

Factors of 138039446441981952000

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 33
  • Sum of prime factors: 104

Divisors of 138039446441981952000

Bases of 138039446441981952000

  • Binary: 11101111011101011101010000100101100101101011110010011000000000000002
  • Hexadecimal: 0x77BAEA12CB5E4C000
  • Base-36: T4RBNVSYYO000

Squares and roots of 138039446441981952000

  • 138039446441981952000 squared (1380394464419819520002) is 19054888774008803787505229893730304000000
  • 138039446441981952000 cubed (1380394464419819520003) is 2630326298377711409429221619819724756211256323473408000000000
  • The square root of 138039446441981952000 is 11749018956.5759894557
  • The cube root of 138039446441981952000 is 5168141.5855927433

Scales and comparisons

How big is 138039446441981952000?
  • 138,039,446,441,981,952,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,039,446,441,981,952,000 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 138039446441981952000 cubic inches would be around 430678.5 feet tall.

Recreational maths with 138039446441981952000

  • 138039446441981952000 backwards is 000259189144644930831
  • 138039446441981952000 is a Harshad number.
  • The number of decimal digits it has is: 21
  • The sum of 138039446441981952000's digits is 81
  • More coming soon!

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"Number 138039446441981952000 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.

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Numbermatics. (2024). Number 138039446441981952000 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/138039446441981952000/

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The information we have on file for 138039446441981952000 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 138039446441981952000, math, Factors of 138039446441981952000, curriculum, school, college, exams, university, Prime factorization of 138039446441981952000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, thirty-nine quadrillion, four hundred forty-six trillion, four hundred forty-one billion, nine hundred eighty-one million, nine hundred fifty-two thousand.

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