138417814960128000

138,417,814,960,128,000 is an even composite number composed of five prime numbers multiplied together.

What does the number 138417814960128000 look like?

This visualization shows the relationship between its 5 prime factors (large circles) and 5040 divisors.

138417814960128000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five thousand and forty divisors.

Prime factorization of 138417814960128000:

214 × 35 × 53 × 116 × 157

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 11 × 11 × 11 × 11 × 11 × 157)

See below for interesting mathematical facts about the number 138417814960128000 from the Numbermatics database.


Names of 138417814960128000

  • Cardinal: 138417814960128000 can be written as One hundred thirty-eight quadrillion, four hundred seventeen trillion, eight hundred fourteen billion, nine hundred sixty million, one hundred twenty-eight thousand.

Scientific notation

  • Scientific notation: 1.38417814960128 × 1017

Factors of 138417814960128000

  • Number of distinct prime factors ω(n): 5
  • Total number of prime factors Ω(n): 29
  • Sum of prime factors: 178

Divisors of 138417814960128000

Bases of 138417814960128000

  • Binary: 1111010111100001001000100111100110100100011000000000000002
  • Hexadecimal: 0x1EBC244F348C000
  • Base-36: 11UX0QCH6O00

Squares and roots of 138417814960128000

  • 138417814960128000 squared (1384178149601280002) is 19159491498336234762229776384000000
  • 138417814960128000 cubed (1384178149601280003) is 2652014948946850506093227822572255316017152000000000
  • The square root of 138417814960128000 is 372045447.4390568323
  • The cube root of 138417814960128000 is 517285.9266389961

Scales and comparisons

How big is 138417814960128000?
  • 138,417,814,960,128,000 seconds is equal to 4,401,258,361 years, 16 weeks, 4 days.
  • To count from 1 to 138,417,814,960,128,000 would take you about thirteen billion, two hundred three million, seven hundred seventy-five thousand and eighty-three 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 138417814960128000 cubic inches would be around 43107.2 feet tall.

Recreational maths with 138417814960128000

  • 138417814960128000 backwards is 000821069418714831
  • The number of decimal digits it has is: 18
  • The sum of 138417814960128000's digits is 63
  • More coming soon!

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"Number 138417814960128000 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.

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Numbermatics. (2024). Number 138417814960128000 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/138417814960128000/

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Numbermatics. 2024. "Number 138417814960128000 - Facts about the integer". https://numbermatics.com/n/138417814960128000/

The information we have on file for 138417814960128000 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 138417814960128000, math, Factors of 138417814960128000, curriculum, school, college, exams, university, Prime factorization of 138417814960128000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, four hundred seventeen trillion, eight hundred fourteen billion, nine hundred sixty million, one hundred twenty-eight thousand.

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