138746638913634385920

138,746,638,913,634,385,920 is an even composite number composed of seven prime numbers multiplied together.

What does the number 138746638913634385920 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 36450 divisors.

138746638913634385920 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of thirty-six thousand, four hundred fifty divisors.

Prime factorization of 138746638913634385920:

214 × 38 × 5 × 114 × 132 × 172 × 192

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 11 × 11 × 11 × 11 × 13 × 13 × 17 × 17 × 19 × 19)

See below for interesting mathematical facts about the number 138746638913634385920 from the Numbermatics database.


Names of 138746638913634385920

  • Cardinal: 138746638913634385920 can be written as One hundred thirty-eight quintillion, seven hundred forty-six quadrillion, six hundred thirty-eight trillion, nine hundred thirteen billion, six hundred thirty-four million, three hundred eighty-five thousand, nine hundred twenty.

Scientific notation

  • Scientific notation: 1.3874663891363438592 × 1020

Factors of 138746638913634385920

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 33
  • Sum of prime factors: 70

Divisors of 138746638913634385920

Bases of 138746638913634385920

  • Binary: 11110000101011111110001010011111011000100101001000101000000000000002
  • Hexadecimal: 0x7857F14FB12914000
  • Base-36: TA4QYOXFK0000

Squares and roots of 138746638913634385920

  • 138746638913634385920 squared (1387466389136343859202) is 19250629809830443649916865055415494246400
  • 138746638913634385920 cubed (1387466389136343859203) is 2670960183084590751352097769351541983752385459462957170688000
  • The square root of 138746638913634385920 is 11779076318.3551190505
  • The cube root of 138746638913634385920 is 5176952.2243242085

Scales and comparisons

How big is 138746638913634385920?
  • 138,746,638,913,634,385,920 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,746,638,913,634,385,920 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 138746638913634385920 cubic inches would be around 431412.7 feet tall.

Recreational maths with 138746638913634385920

  • 138746638913634385920 backwards is 029583436319836647831
  • 138746638913634385920 is a Harshad number.
  • The number of decimal digits it has is: 21
  • The sum of 138746638913634385920's digits is 99
  • More coming soon!

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"Number 138746638913634385920 - Facts about the integer". Numbermatics.com. 2024. Web. 3 June 2024.

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Numbermatics. (2024). Number 138746638913634385920 - Facts about the integer. Retrieved 3 June 2024, from https://numbermatics.com/n/138746638913634385920/

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Numbermatics. 2024. "Number 138746638913634385920 - Facts about the integer". https://numbermatics.com/n/138746638913634385920/

The information we have on file for 138746638913634385920 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 138746638913634385920, math, Factors of 138746638913634385920, curriculum, school, college, exams, university, Prime factorization of 138746638913634385920, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, seven hundred forty-six quadrillion, six hundred thirty-eight trillion, nine hundred thirteen billion, six hundred thirty-four million, three hundred eighty-five thousand, nine hundred twenty.

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