138253406860800

138,253,406,860,800 is an even composite number composed of seven prime numbers multiplied together.

What does the number 138253406860800 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 5760 divisors.

138253406860800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five thousand, seven hundred sixty divisors.

Prime factorization of 138253406860800:

29 × 33 × 52 × 72 × 11 × 233 × 61

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 11 × 23 × 23 × 23 × 61)

See below for interesting mathematical facts about the number 138253406860800 from the Numbermatics database.


Names of 138253406860800

  • Cardinal: 138253406860800 can be written as One hundred thirty-eight trillion, two hundred fifty-three billion, four hundred six million, eight hundred sixty thousand, eight hundred.

Scientific notation

  • Scientific notation: 1.382534068608 × 1014

Factors of 138253406860800

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 21
  • Sum of prime factors: 112

Divisors of 138253406860800

Bases of 138253406860800

  • Binary: 111110110111101101000010011010001110110000000002
  • Hexadecimal: 0x7DBDA1347600
  • Base-36: 1D08QKUIO0

Squares and roots of 138253406860800

  • 138253406860800 squared (1382534068608002) is 19114004508617900510576640000
  • 138253406860800 cubed (1382534068608003) is 2642576242069116179174648263540211712000000
  • The square root of 138253406860800 is 11758120.8898701157
  • The cube root of 138253406860800 is 51708.1040464301

Scales and comparisons

How big is 138253406860800?
  • 138,253,406,860,800 seconds is equal to 4,396,030 years, 36 weeks.
  • To count from 1 to 138,253,406,860,800 would take you about ten million, nine hundred ninety thousand and seventy-six 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 138253406860800 cubic inches would be around 4309 feet tall.

Recreational maths with 138253406860800

  • 138253406860800 backwards is 008068604352831
  • 138253406860800 is a Harshad number.
  • The number of decimal digits it has is: 15
  • The sum of 138253406860800's digits is 54
  • More coming soon!

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"Number 138253406860800 - Facts about the integer". Numbermatics.com. 2024. Web. 3 June 2024.

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Numbermatics. (2024). Number 138253406860800 - Facts about the integer. Retrieved 3 June 2024, from https://numbermatics.com/n/138253406860800/

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The information we have on file for 138253406860800 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 138253406860800, math, Factors of 138253406860800, curriculum, school, college, exams, university, Prime factorization of 138253406860800, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, two hundred fifty-three billion, four hundred six million, eight hundred sixty thousand, eight hundred.

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