138047332446324224000

138,047,332,446,324,224,000 is an even composite number composed of five prime numbers multiplied together.

What does the number 138047332446324224000 look like?

This visualization shows the relationship between its 5 prime factors (large circles) and 3328 divisors.

138047332446324224000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three thousand, three hundred twenty-eight divisors.

Prime factorization of 138047332446324224000:

212 × 53 × 73 × 113 × 8393

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 11 × 11 × 11 × 839 × 839 × 839)

See below for interesting mathematical facts about the number 138047332446324224000 from the Numbermatics database.


Names of 138047332446324224000

  • Cardinal: 138047332446324224000 can be written as One hundred thirty-eight quintillion, forty-seven quadrillion, three hundred thirty-two trillion, four hundred forty-six billion, three hundred twenty-four million, two hundred twenty-four thousand.

Scientific notation

  • Scientific notation: 1.38047332446324224 × 1020

Factors of 138047332446324224000

  • Number of distinct prime factors ω(n): 5
  • Total number of prime factors Ω(n): 24
  • Sum of prime factors: 864

Divisors of 138047332446324224000

Bases of 138047332446324224000

  • Binary: 11101111011110010101010010101110100001011010110100101110000000000002
  • Hexadecimal: 0x77BCAA5742D697000
  • Base-36: T4THB8LCPGGE8

Squares and roots of 138047332446324224000

  • 138047332446324224000 squared (1380473324463242240002) is 19057065995545960859546048929202176000000
  • 138047332446324224000 cubed (1380473324463242240003) is 2630777124938673972215597222789080565986624142311424000000000
  • The square root of 138047332446324224000 is 11749354554.4563520929
  • 138047332446324224000 is a perfect cube number. Its cube root is 5168240

Scales and comparisons

How big is 138047332446324224000?
  • 138,047,332,446,324,224,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,047,332,446,324,224,000 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 138047332446324224000 cubic inches would be around 430686.7 feet tall.

Recreational maths with 138047332446324224000

  • 138047332446324224000 backwards is 000422423644233740831
  • The number of decimal digits it has is: 21
  • The sum of 138047332446324224000's digits is 62
  • More coming soon!

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"Number 138047332446324224000 - Facts about the integer". Numbermatics.com. 2024. Web. 27 April 2024.

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Numbermatics. (2024). Number 138047332446324224000 - Facts about the integer. Retrieved 27 April 2024, from https://numbermatics.com/n/138047332446324224000/

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The information we have on file for 138047332446324224000 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 138047332446324224000, math, Factors of 138047332446324224000, curriculum, school, college, exams, university, Prime factorization of 138047332446324224000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, forty-seven quadrillion, three hundred thirty-two trillion, four hundred forty-six billion, three hundred twenty-four million, two hundred twenty-four thousand.

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