138345074916276800

138,345,074,916,276,800 is an even composite number composed of seven prime numbers multiplied together.

What does the number 138345074916276800 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 4536 divisors.

138345074916276800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four thousand, five hundred thirty-six divisors.

Prime factorization of 138345074916276800:

26 × 52 × 112 × 133 × 172 × 29 × 1972

(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 11 × 13 × 13 × 13 × 17 × 17 × 29 × 197 × 197)

See below for interesting mathematical facts about the number 138345074916276800 from the Numbermatics database.


Names of 138345074916276800

  • Cardinal: 138345074916276800 can be written as One hundred thirty-eight quadrillion, three hundred forty-five trillion, seventy-four billion, nine hundred sixteen million, two hundred seventy-six thousand, eight hundred.

Scientific notation

  • Scientific notation: 1.383450749162768 × 1017

Factors of 138345074916276800

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 18
  • Sum of prime factors: 274

Divisors of 138345074916276800

Bases of 138345074916276800

  • Binary: 1111010111000000000011100110101101100111100111010010000002
  • Hexadecimal: 0x1EB801CD6CF3A40
  • Base-36: 11U78I1562BK

Squares and roots of 138345074916276800

  • 138345074916276800 squared (1383450749162768002) is 19139359753590240240529574218240000
  • 138345074916276800 cubed (1383450749162768003) is 2647836158960014860822295583234573519811448832000000
  • The square root of 138345074916276800 is 371947677.6594751101
  • The cube root of 138345074916276800 is 517195.2976639039

Scales and comparisons

How big is 138345074916276800?
  • 138,345,074,916,276,800 seconds is equal to 4,398,945,452 years, 48 weeks, 7 hours, 33 minutes, 20 seconds.
  • To count from 1 to 138,345,074,916,276,800 would take you about thirteen billion, one hundred ninety-six million, eight hundred thirty-six thousand, three hundred fifty-eight 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 138345074916276800 cubic inches would be around 43099.6 feet tall.

Recreational maths with 138345074916276800

  • 138345074916276800 backwards is 008672619470543831
  • The number of decimal digits it has is: 18
  • The sum of 138345074916276800's digits is 74
  • More coming soon!

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"Number 138345074916276800 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.

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Numbermatics. (2024). Number 138345074916276800 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/138345074916276800/

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The information we have on file for 138345074916276800 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 138345074916276800, math, Factors of 138345074916276800, curriculum, school, college, exams, university, Prime factorization of 138345074916276800, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, three hundred forty-five trillion, seventy-four billion, nine hundred sixteen million, two hundred seventy-six thousand, eight hundred.

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