138006301193561545113600

138,006,301,193,561,545,113,600 is an even composite number composed of seven prime numbers multiplied together.

What does the number 138006301193561545113600 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 47520 divisors.

138006301193561545113600 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of forty-seven thousand, five hundred twenty divisors.

Prime factorization of 138006301193561545113600:

221 × 33 × 52 × 72 × 113 × 232 × 414

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 11 × 11 × 11 × 23 × 23 × 41 × 41 × 41 × 41)

See below for interesting mathematical facts about the number 138006301193561545113600 from the Numbermatics database.


Names of 138006301193561545113600

  • Cardinal: 138006301193561545113600 can be written as One hundred thirty-eight sextillion, six quintillion, three hundred one quadrillion, one hundred ninety-three trillion, five hundred sixty-one billion, five hundred forty-five million, one hundred thirteen thousand, six hundred.

Scientific notation

  • Scientific notation: 1.380063011935615451136 × 1023

Factors of 138006301193561545113600

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 37
  • Sum of prime factors: 92

Divisors of 138006301193561545113600

Bases of 138006301193561545113600

  • Binary: 111010011100101010110001010100000001011010010101110110010000000000000000000002
  • Hexadecimal: 0x1D39562A02D2BB200000
  • Base-36: MH176E1HY3IADC0

Squares and roots of 138006301193561545113600

  • 138006301193561545113600 squared (1380063011935615451136002) is 19045739169128026751411193333964208036904960000
  • 138006301193561545113600 cubed (1380063011935615451136003) is 2628432016228695068798338452433683368543849663216035108755603456000000
  • The square root of 138006301193561545113600 is 371491993444.7599169597
  • The cube root of 138006301193561545113600 is 51677279.0420565673

Scales and comparisons

How big is 138006301193561545113600?
  • 138,006,301,193,561,545,113,600 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,006,301,193,561,545,113,600 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 138006301193561545113600 cubic inches would be around 4306439.9 feet tall.

Recreational maths with 138006301193561545113600

  • 138006301193561545113600 backwards is 006311545165391103600831
  • 138006301193561545113600 is a Harshad number.
  • The number of decimal digits it has is: 24
  • The sum of 138006301193561545113600's digits is 72
  • More coming soon!

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"Number 138006301193561545113600 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.

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Numbermatics. (2024). Number 138006301193561545113600 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/138006301193561545113600/

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The information we have on file for 138006301193561545113600 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 138006301193561545113600, math, Factors of 138006301193561545113600, curriculum, school, college, exams, university, Prime factorization of 138006301193561545113600, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight sextillion, six quintillion, three hundred one quadrillion, one hundred ninety-three trillion, five hundred sixty-one billion, five hundred forty-five million, one hundred thirteen thousand, six hundred.

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