138189472417274572800

138,189,472,417,274,572,800 is an even composite number composed of six prime numbers multiplied together.

What does the number 138189472417274572800 look like?

This visualization shows the relationship between its 6 prime factors (large circles) and 10296 divisors.

138189472417274572800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of ten thousand, two hundred ninety-six divisors.

Prime factorization of 138189472417274572800:

212 × 310 × 52 × 11 × 172 × 1933

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 11 × 17 × 17 × 193 × 193 × 193)

See below for interesting mathematical facts about the number 138189472417274572800 from the Numbermatics database.


Names of 138189472417274572800

  • Cardinal: 138189472417274572800 can be written as One hundred thirty-eight quintillion, one hundred eighty-nine quadrillion, four hundred seventy-two trillion, four hundred seventeen billion, two hundred seventy-four million, five hundred seventy-two thousand, eight hundred.

Scientific notation

  • Scientific notation: 1.381894724172745728 × 1020

Factors of 138189472417274572800

  • Number of distinct prime factors ω(n): 6
  • Total number of prime factors Ω(n): 30
  • Sum of prime factors: 231

Divisors of 138189472417274572800

Bases of 138189472417274572800

  • Binary: 11101111101110000111010000100000001000110100100101010110000000000002
  • Hexadecimal: 0x77DC3A1011A4AB000
  • Base-36: T5WCVNIK00000

Squares and roots of 138189472417274572800

  • 138189472417274572800 squared (1381894724172745728002) is 19096330286964689962633192305422499840000
  • 138189472417274572800 cubed (1381894724172745728003) is 2638911807461672051120872987203011272155105224244068352000000
  • The square root of 138189472417274572800 is 11755401839.8893779713
  • The cube root of 138189472417274572800 is 5170013.2118489383

Scales and comparisons

How big is 138189472417274572800?
  • 138,189,472,417,274,572,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,189,472,417,274,572,800 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 138189472417274572800 cubic inches would be around 430834.4 feet tall.

Recreational maths with 138189472417274572800

  • 138189472417274572800 backwards is 008275472714274981831
  • 138189472417274572800 is a Harshad number.
  • The number of decimal digits it has is: 21
  • The sum of 138189472417274572800's digits is 90
  • More coming soon!

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"Number 138189472417274572800 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.

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Numbermatics. (2024). Number 138189472417274572800 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/138189472417274572800/

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The information we have on file for 138189472417274572800 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 138189472417274572800, math, Factors of 138189472417274572800, curriculum, school, college, exams, university, Prime factorization of 138189472417274572800, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, one hundred eighty-nine quadrillion, four hundred seventy-two trillion, four hundred seventeen billion, two hundred seventy-four million, five hundred seventy-two thousand, eight hundred.

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