138938213805792952320

138,938,213,805,792,952,320 is an even composite number composed of six prime numbers multiplied together.

What does the number 138938213805792952320 look like?

This visualization shows the relationship between its 6 prime factors (large circles) and 9072 divisors.

138938213805792952320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine thousand and seventy-two divisors.

Prime factorization of 138938213805792952320:

220 × 35 × 5 × 73 × 112 × 16212

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 7 × 11 × 11 × 1621 × 1621)

See below for interesting mathematical facts about the number 138938213805792952320 from the Numbermatics database.


Names of 138938213805792952320

  • Cardinal: 138938213805792952320 can be written as One hundred thirty-eight quintillion, nine hundred thirty-eight quadrillion, two hundred thirteen trillion, eight hundred five billion, seven hundred ninety-two million, nine hundred fifty-two thousand, three hundred twenty.

Scientific notation

  • Scientific notation: 1.3893821380579295232 × 1020

Factors of 138938213805792952320

  • Number of distinct prime factors ω(n): 6
  • Total number of prime factors Ω(n): 33
  • Sum of prime factors: 1649

Divisors of 138938213805792952320

Bases of 138938213805792952320

  • Binary: 11110001000001001111011000101010100100001011001000000000000000000002
  • Hexadecimal: 0x78827B15485900000
  • Base-36: TBL5ABNX62O00

Squares and roots of 138938213805792952320

  • 138938213805792952320 squared (1389382138057929523202) is 19303827255544235335972290328581793382400
  • 138938213805792952320 cubed (1389382138057929523203) is 2682039278500898355351717115500316118465987819404334727168000
  • The square root of 138938213805792952320 is 11787205513.0040450279
  • The cube root of 138938213805792952320 is 5179333.8266379379

Scales and comparisons

How big is 138938213805792952320?
  • 138,938,213,805,792,952,320 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,938,213,805,792,952,320 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 138938213805792952320 cubic inches would be around 431611.2 feet tall.

Recreational maths with 138938213805792952320

  • 138938213805792952320 backwards is 023259297508312839831
  • 138938213805792952320 is a Harshad number.
  • The number of decimal digits it has is: 21
  • The sum of 138938213805792952320's digits is 90
  • More coming soon!

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"Number 138938213805792952320 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.

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Numbermatics. (2024). Number 138938213805792952320 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/138938213805792952320/

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Numbermatics. 2024. "Number 138938213805792952320 - Facts about the integer". https://numbermatics.com/n/138938213805792952320/

The information we have on file for 138938213805792952320 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 138938213805792952320, math, Factors of 138938213805792952320, curriculum, school, college, exams, university, Prime factorization of 138938213805792952320, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, nine hundred thirty-eight quadrillion, two hundred thirteen trillion, eight hundred five billion, seven hundred ninety-two million, nine hundred fifty-two thousand, three hundred twenty.

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