138456783625604300800

138,456,783,625,604,300,800 is an even composite number composed of six prime numbers multiplied together.

What does the number 138456783625604300800 look like?

This visualization shows the relationship between its 6 prime factors (large circles) and 3078 divisors.

138456783625604300800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand and seventy-eight divisors.

Prime factorization of 138456783625604300800:

218 × 52 × 232 × 97 × 1032 × 1972

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 23 × 23 × 97 × 103 × 103 × 197 × 197)

See below for interesting mathematical facts about the number 138456783625604300800 from the Numbermatics database.


Names of 138456783625604300800

  • Cardinal: 138456783625604300800 can be written as One hundred thirty-eight quintillion, four hundred fifty-six quadrillion, seven hundred eighty-three trillion, six hundred twenty-five billion, six hundred four million, three hundred thousand, eight hundred.

Scientific notation

  • Scientific notation: 1.384567836256043008 × 1020

Factors of 138456783625604300800

  • Number of distinct prime factors ω(n): 6
  • Total number of prime factors Ω(n): 27
  • Sum of prime factors: 427

Divisors of 138456783625604300800

Bases of 138456783625604300800

  • Binary: 11110000001011110010100111100100001110010110100010000000000000000002
  • Hexadecimal: 0x781794F21CB440000
  • Base-36: T7XGXKGDGNBWG

Squares and roots of 138456783625604300800

  • 138456783625604300800 squared (1384567836256043008002) is 19170280931947407230845393979456880640000
  • 138456783625604300800 cubed (1384567836256043008003) is 2654255439036690128944321703789064674048032496536256512000000
  • The square root of 138456783625604300800 is 11766766064.8796915223
  • The cube root of 138456783625604300800 is 5173344.6579283463

Scales and comparisons

How big is 138456783625604300800?
  • 138,456,783,625,604,300,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,456,783,625,604,300,800 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 138456783625604300800 cubic inches would be around 431112.1 feet tall.

Recreational maths with 138456783625604300800

  • 138456783625604300800 backwards is 008003406526387654831
  • The number of decimal digits it has is: 21
  • The sum of 138456783625604300800's digits is 79
  • More coming soon!

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"Number 138456783625604300800 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.

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Numbermatics. (2024). Number 138456783625604300800 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/138456783625604300800/

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The information we have on file for 138456783625604300800 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 138456783625604300800, math, Factors of 138456783625604300800, curriculum, school, college, exams, university, Prime factorization of 138456783625604300800, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, four hundred fifty-six quadrillion, seven hundred eighty-three trillion, six hundred twenty-five billion, six hundred four million, three hundred thousand, eight hundred.

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