138301573460931972000

138,301,573,460,931,972,000 is an even composite number composed of six prime numbers multiplied together.

What does the number 138301573460931972000 look like?

This visualization shows the relationship between its 6 prime factors (large circles) and 15552 divisors.

138301573460931972000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of fifteen thousand, five hundred fifty-two divisors.

Prime factorization of 138301573460931972000:

25 × 35 × 53 × 75 × 135 × 1512

(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 13 × 13 × 13 × 13 × 13 × 151 × 151)

See below for interesting mathematical facts about the number 138301573460931972000 from the Numbermatics database.


Names of 138301573460931972000

  • Cardinal: 138301573460931972000 can be written as One hundred thirty-eight quintillion, three hundred one quadrillion, five hundred seventy-three trillion, four hundred sixty billion, nine hundred thirty-one million, nine hundred seventy-two thousand.

Scientific notation

  • Scientific notation: 1.38301573460931972 × 1020

Factors of 138301573460931972000

  • Number of distinct prime factors ω(n): 6
  • Total number of prime factors Ω(n): 25
  • Sum of prime factors: 181

Divisors of 138301573460931972000

Bases of 138301573460931972000

  • Binary: 11101111111010100011110010001001111010000000111000100001011101000002
  • Hexadecimal: 0x77F51E44F40710BA0
  • Base-36: T6R0O5N2EFU00

Squares and roots of 138301573460931972000

  • 138301573460931972000 squared (1383015734609319720002) is 19127325221769562759642194811808784000000
  • 138301573460931972000 cubed (1383015734609319720003) is 2645339174269700106736318352025232671432423696042048000000000
  • The square root of 138301573460931972000 is 11760168938.4520310981
  • The cube root of 138301573460931972000 is 5171410.8273129711

Scales and comparisons

How big is 138301573460931972000?
  • 138,301,573,460,931,972,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,301,573,460,931,972,000 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 138301573460931972000 cubic inches would be around 430950.9 feet tall.

Recreational maths with 138301573460931972000

  • 138301573460931972000 backwards is 000279139064375103831
  • 138301573460931972000 is a Harshad number.
  • The number of decimal digits it has is: 21
  • The sum of 138301573460931972000's digits is 72
  • More coming soon!

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"Number 138301573460931972000 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.

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Numbermatics. (2024). Number 138301573460931972000 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/138301573460931972000/

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The information we have on file for 138301573460931972000 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 138301573460931972000, math, Factors of 138301573460931972000, curriculum, school, college, exams, university, Prime factorization of 138301573460931972000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, three hundred one quadrillion, five hundred seventy-three trillion, four hundred sixty billion, nine hundred thirty-one million, nine hundred seventy-two thousand.

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