138003648419737728000

138,003,648,419,737,728,000 is an even composite number composed of six prime numbers multiplied together.

What does the number 138003648419737728000 look like?

This visualization shows the relationship between its 6 prime factors (large circles) and 12672 divisors.

138003648419737728000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of twelve thousand, six hundred seventy-two divisors.

Prime factorization of 138003648419737728000:

210 × 311 × 53 × 312 × 473 × 61

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 31 × 31 × 47 × 47 × 47 × 61)

See below for interesting mathematical facts about the number 138003648419737728000 from the Numbermatics database.


Names of 138003648419737728000

  • Cardinal: 138003648419737728000 can be written as One hundred thirty-eight quintillion, three quadrillion, six hundred forty-eight trillion, four hundred nineteen billion, seven hundred thirty-seven million, seven hundred twenty-eight thousand.

Scientific notation

  • Scientific notation: 1.38003648419737728 × 1020

Factors of 138003648419737728000

  • Number of distinct prime factors ω(n): 6
  • Total number of prime factors Ω(n): 30
  • Sum of prime factors: 149

Divisors of 138003648419737728000

Bases of 138003648419737728000

  • Binary: 11101111011001011110111001100010000001001100101110101110100000000002
  • Hexadecimal: 0x77B2F7310265D7400
  • Base-36: T4HJ6JKL00000

Squares and roots of 138003648419737728000

  • 138003648419737728000 squared (1380036484197377280002) is 19045006977158579510643248306601984000000
  • 138003648419737728000 cubed (1380036484197377280003) is 2628280447027244605303513152385645138790596164452352000000000
  • The square root of 138003648419737728000 is 11747495410.5008156841
  • The cube root of 138003648419737728000 is 5167694.7924297625

Scales and comparisons

How big is 138003648419737728000?
  • 138,003,648,419,737,728,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,003,648,419,737,728,000 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 138003648419737728000 cubic inches would be around 430641.2 feet tall.

Recreational maths with 138003648419737728000

  • 138003648419737728000 backwards is 000827737914846300831
  • 138003648419737728000 is a Harshad number.
  • The number of decimal digits it has is: 21
  • The sum of 138003648419737728000's digits is 81
  • More coming soon!

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"Number 138003648419737728000 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.

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Numbermatics. (2024). Number 138003648419737728000 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/138003648419737728000/

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The information we have on file for 138003648419737728000 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 138003648419737728000, math, Factors of 138003648419737728000, curriculum, school, college, exams, university, Prime factorization of 138003648419737728000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, three quadrillion, six hundred forty-eight trillion, four hundred nineteen billion, seven hundred thirty-seven million, seven hundred twenty-eight thousand.

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