138325977044769181948800

138,325,977,044,769,181,948,800 is an even composite number composed of eight prime numbers multiplied together.

What does the number 138325977044769181948800 look like?

This visualization shows the relationship between its 8 prime factors (large circles) and 7776 divisors.

138325977044769181948800 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of seven thousand, seven hundred seventy-six divisors.

Prime factorization of 138325977044769181948800:

27 × 3 × 52 × 13 × 172 × 192 × 312 × 1051432

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 17 × 17 × 19 × 19 × 31 × 31 × 105143 × 105143)

See below for interesting mathematical facts about the number 138325977044769181948800 from the Numbermatics database.


Names of 138325977044769181948800

  • Cardinal: 138325977044769181948800 can be written as One hundred thirty-eight sextillion, three hundred twenty-five quintillion, nine hundred seventy-seven quadrillion, forty-four trillion, seven hundred sixty-nine billion, one hundred eighty-one million, nine hundred forty-eight thousand, eight hundred.

Scientific notation

  • Scientific notation: 1.383259770447691819488 × 1023

Factors of 138325977044769181948800

  • Number of distinct prime factors ω(n): 8
  • Total number of prime factors Ω(n): 19
  • Sum of prime factors: 105233

Divisors of 138325977044769181948800

Bases of 138325977044769181948800

  • Binary: 111010100101010101010100011101100011111001000000000001111001001011011100000002
  • Hexadecimal: 0x1D4AAA8EC7C800F25B80
  • Base-36: MIWNXAH6HXFSEIO

Squares and roots of 138325977044769181948800

  • 138325977044769181948800 squared (1383259770447691819488002) is 19134075925390010667121327607564759765821440000
  • 138325977044769181948800 cubed (1383259770447691819488003) is 2646739747228369258095918540011795570965621228781901726852022272000000
  • The square root of 138325977044769181948800 is 371922003980.3630413171
  • The cube root of 138325977044769181948800 is 51717149.7795143567

Scales and comparisons

How big is 138325977044769181948800?
  • 138,325,977,044,769,181,948,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,325,977,044,769,181,948,800 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 138325977044769181948800 cubic inches would be around 4309762.5 feet tall.

Recreational maths with 138325977044769181948800

  • 138325977044769181948800 backwards is 008849181967440779523831
  • 138325977044769181948800 is a Harshad number.
  • The number of decimal digits it has is: 24
  • The sum of 138325977044769181948800's digits is 114
  • More coming soon!

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"Number 138325977044769181948800 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.

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Numbermatics. (2024). Number 138325977044769181948800 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/138325977044769181948800/

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Numbermatics. 2024. "Number 138325977044769181948800 - Facts about the integer". https://numbermatics.com/n/138325977044769181948800/

The information we have on file for 138325977044769181948800 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 138325977044769181948800, math, Factors of 138325977044769181948800, curriculum, school, college, exams, university, Prime factorization of 138325977044769181948800, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight sextillion, three hundred twenty-five quintillion, nine hundred seventy-seven quadrillion, forty-four trillion, seven hundred sixty-nine billion, one hundred eighty-one million, nine hundred forty-eight thousand, eight hundred.

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