138208824589488307200

138,208,824,589,488,307,200 is an even composite number composed of seven prime numbers multiplied together.

What does the number 138208824589488307200 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 24948 divisors.

138208824589488307200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of twenty-four thousand, nine hundred forty-eight divisors.

Prime factorization of 138208824589488307200:

210 × 36 × 52 × 73 × 132 × 892 × 1272

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 13 × 13 × 89 × 89 × 127 × 127)

See below for interesting mathematical facts about the number 138208824589488307200 from the Numbermatics database.


Names of 138208824589488307200

  • Cardinal: 138208824589488307200 can be written as One hundred thirty-eight quintillion, two hundred eight quadrillion, eight hundred twenty-four trillion, five hundred eighty-nine billion, four hundred eighty-eight million, three hundred seven thousand, two hundred.

Scientific notation

  • Scientific notation: 1.382088245894883072 × 1020

Factors of 138208824589488307200

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 27
  • Sum of prime factors: 246

Divisors of 138208824589488307200

Bases of 138208824589488307200

  • Binary: 11101111110000010000110000110110011110100001011100100111100000000002
  • Hexadecimal: 0x77E0861B3D0B93C00
  • Base-36: T61NFFBQLS000

Squares and roots of 138208824589488307200

  • 138208824589488307200 squared (1382088245894883072002) is 19101679194407947747221929925521571840000
  • 138208824589488307200 cubed (1382088245894883072003) is 2640020629144606367385993025752653005150649621044789248000000
  • The square root of 138208824589488307200 is 11756224929.3507610737
  • The cube root of 138208824589488307200 is 5170254.5382785801

Scales and comparisons

How big is 138208824589488307200?
  • 138,208,824,589,488,307,200 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,208,824,589,488,307,200 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 138208824589488307200 cubic inches would be around 430854.5 feet tall.

Recreational maths with 138208824589488307200

  • 138208824589488307200 backwards is 002703884985428802831
  • 138208824589488307200 is a Harshad number.
  • The number of decimal digits it has is: 21
  • The sum of 138208824589488307200's digits is 90
  • More coming soon!

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"Number 138208824589488307200 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.

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Numbermatics. (2024). Number 138208824589488307200 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/138208824589488307200/

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Numbermatics. 2024. "Number 138208824589488307200 - Facts about the integer". https://numbermatics.com/n/138208824589488307200/

The information we have on file for 138208824589488307200 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!

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