138488334291320832000

138,488,334,291,320,832,000 is an even composite number composed of seven prime numbers multiplied together.

What does the number 138488334291320832000 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 36288 divisors.

138488334291320832000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of thirty-six thousand, two hundred eighty-eight divisors.

Prime factorization of 138488334291320832000:

217 × 36 × 53 × 72 × 132 × 313 × 47

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 13 × 13 × 31 × 31 × 31 × 47)

See below for interesting mathematical facts about the number 138488334291320832000 from the Numbermatics database.


Names of 138488334291320832000

  • Cardinal: 138488334291320832000 can be written as One hundred thirty-eight quintillion, four hundred eighty-eight quadrillion, three hundred thirty-four trillion, two hundred ninety-one billion, three hundred twenty million, eight hundred thirty-two thousand.

Scientific notation

  • Scientific notation: 1.38488334291320832 × 1020

Factors of 138488334291320832000

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 34
  • Sum of prime factors: 108

Divisors of 138488334291320832000

Bases of 138488334291320832000

  • Binary: 11110000001111010010110011001001011100110011011101000000000000000002
  • Hexadecimal: 0x781E9664B99BA0000
  • Base-36: T863LCG3Y8000

Squares and roots of 138488334291320832000

  • 138488334291320832000 squared (1384883342913208320002) is 19179018734784629451215603157172224000000
  • 138488334291320832000 cubed (1384883342913208320003) is 2656070357922358876267228748581754375964055062970368000000000
  • The square root of 138488334291320832000 is 11768106657.0336977041
  • The cube root of 138488334291320832000 is 5173737.5845566557

Scales and comparisons

How big is 138488334291320832000?
  • 138,488,334,291,320,832,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,488,334,291,320,832,000 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 138488334291320832000 cubic inches would be around 431144.8 feet tall.

Recreational maths with 138488334291320832000

  • 138488334291320832000 backwards is 000238023192433884831
  • 138488334291320832000 is a Harshad number.
  • The number of decimal digits it has is: 21
  • The sum of 138488334291320832000's digits is 72
  • More coming soon!

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"Number 138488334291320832000 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.

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Numbermatics. (2024). Number 138488334291320832000 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/138488334291320832000/

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The information we have on file for 138488334291320832000 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 138488334291320832000, math, Factors of 138488334291320832000, curriculum, school, college, exams, university, Prime factorization of 138488334291320832000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, four hundred eighty-eight quadrillion, three hundred thirty-four trillion, two hundred ninety-one billion, three hundred twenty million, eight hundred thirty-two thousand.

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