138738546609370496100

138,738,546,609,370,496,100 is an even composite number composed of seven prime numbers multiplied together.

What does the number 138738546609370496100 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 3645 divisors.

138738546609370496100 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, six hundred forty-five divisors.

Prime factorization of 138738546609370496100:

22 × 34 × 52 × 132 × 372 × 2412 × 11292

(2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 13 × 37 × 37 × 241 × 241 × 1129 × 1129)

See below for interesting mathematical facts about the number 138738546609370496100 from the Numbermatics database.


Names of 138738546609370496100

  • Cardinal: 138738546609370496100 can be written as One hundred thirty-eight quintillion, seven hundred thirty-eight quadrillion, five hundred forty-six trillion, six hundred nine billion, three hundred seventy million, four hundred ninety-six thousand, one hundred.

Scientific notation

  • Scientific notation: 1.387385466093704961 × 1020

Factors of 138738546609370496100

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 16
  • Sum of prime factors: 1430

Divisors of 138738546609370496100

Bases of 138738546609370496100

  • Binary: 11110000101011000100101010100010010101010011000000011111100011001002
  • Hexadecimal: 0x785625512A980FC64
  • Base-36: TA2JA7K6ADU90

Squares and roots of 138738546609370496100

  • 138738546609370496100 squared (1387385466093704961002) is 19248384315280469579757742717160115210000
  • 138738546609370496100 cubed (1387385466093704961003) is 2670492864480615431018738815278817830799906048650855681000000
  • 138738546609370496100 is a perfect square number. Its square root is 11778732810
  • The cube root of 138738546609370496100 is 5176851.5749502063

Scales and comparisons

How big is 138738546609370496100?
  • 138,738,546,609,370,496,100 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,738,546,609,370,496,100 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 138738546609370496100 cubic inches would be around 431404.3 feet tall.

Recreational maths with 138738546609370496100

  • 138738546609370496100 backwards is 001694073906645837831
  • 138738546609370496100 is a Harshad number.
  • The number of decimal digits it has is: 21
  • The sum of 138738546609370496100's digits is 90
  • More coming soon!

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"Number 138738546609370496100 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.

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Numbermatics. (2024). Number 138738546609370496100 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/138738546609370496100/

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Numbermatics. 2024. "Number 138738546609370496100 - Facts about the integer". https://numbermatics.com/n/138738546609370496100/

The information we have on file for 138738546609370496100 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 138738546609370496100, math, Factors of 138738546609370496100, curriculum, school, college, exams, university, Prime factorization of 138738546609370496100, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, seven hundred thirty-eight quadrillion, five hundred forty-six trillion, six hundred nine billion, three hundred seventy million, four hundred ninety-six thousand, one hundred.

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