138462432514473984000

138,462,432,514,473,984,000 is an even composite number composed of six prime numbers multiplied together.

What does the number 138462432514473984000 look like?

This visualization shows the relationship between its 6 prime factors (large circles) and 10240 divisors.

138462432514473984000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of ten thousand, two hundred forty divisors.

Prime factorization of 138462432514473984000:

219 × 3 × 53 × 73 × 313 × 413

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 31 × 31 × 31 × 41 × 41 × 41)

See below for interesting mathematical facts about the number 138462432514473984000 from the Numbermatics database.


Names of 138462432514473984000

  • Cardinal: 138462432514473984000 can be written as One hundred thirty-eight quintillion, four hundred sixty-two quadrillion, four hundred thirty-two trillion, five hundred fourteen billion, four hundred seventy-three million, nine hundred eighty-four thousand.

Scientific notation

  • Scientific notation: 1.38462432514473984 × 1020

Factors of 138462432514473984000

  • Number of distinct prime factors ω(n): 6
  • Total number of prime factors Ω(n): 32
  • Sum of prime factors: 89

Divisors of 138462432514473984000

Bases of 138462432514473984000

  • Binary: 11110000001100011010110000011000100001110011011100000000000000000002
  • Hexadecimal: 0x7818D60C439B80000
  • Base-36: T7Z0JXK3FO2YO

Squares and roots of 138462432514473984000

  • 138462432514473984000 squared (1384624325144739840002) is 19171845217825262315421656212832256000000
  • 138462432514473984000 cubed (1384624325144739840003) is 2654580324651071161077144143956707885500754668027904000000000
  • The square root of 138462432514473984000 is 11767006098.1744198295
  • The cube root of 138462432514473984000 is 5173415.0126168149

Scales and comparisons

How big is 138462432514473984000?
  • 138,462,432,514,473,984,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,462,432,514,473,984,000 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 138462432514473984000 cubic inches would be around 431117.9 feet tall.

Recreational maths with 138462432514473984000

  • 138462432514473984000 backwards is 000489374415234264831
  • The number of decimal digits it has is: 21
  • The sum of 138462432514473984000's digits is 78
  • More coming soon!

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"Number 138462432514473984000 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.

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Numbermatics. (2024). Number 138462432514473984000 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/138462432514473984000/

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The information we have on file for 138462432514473984000 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 138462432514473984000, math, Factors of 138462432514473984000, curriculum, school, college, exams, university, Prime factorization of 138462432514473984000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, four hundred sixty-two quadrillion, four hundred thirty-two trillion, five hundred fourteen billion, four hundred seventy-three million, nine hundred eighty-four thousand.

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