138678529212355204800

138,678,529,212,355,204,800 is an even composite number composed of six prime numbers multiplied together.

What does the number 138678529212355204800 look like?

This visualization shows the relationship between its 6 prime factors (large circles) and 7392 divisors.

138678529212355204800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven thousand, three hundred ninety-two divisors.

Prime factorization of 138678529212355204800:

26 × 310 × 52 × 7 × 133 × 4573

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 13 × 13 × 13 × 457 × 457 × 457)

See below for interesting mathematical facts about the number 138678529212355204800 from the Numbermatics database.


Names of 138678529212355204800

  • Cardinal: 138678529212355204800 can be written as One hundred thirty-eight quintillion, six hundred seventy-eight quadrillion, five hundred twenty-nine trillion, two hundred twelve billion, three hundred fifty-five million, two hundred four thousand, eight hundred.

Scientific notation

  • Scientific notation: 1.386785292123552048 × 1020

Factors of 138678529212355204800

  • Number of distinct prime factors ω(n): 6
  • Total number of prime factors Ω(n): 25
  • Sum of prime factors: 487

Divisors of 138678529212355204800

Bases of 138678529212355204800

  • Binary: 11110000100100011010001101110010001011111000001000001010110110000002
  • Hexadecimal: 0x7848D1B917C1056C0
  • Base-36: T9M4BTGM6R000

Squares and roots of 138678529212355204800

  • 138678529212355204800 squared (1386785292123552048002) is 19231734464502055899410211405649943040000
  • 138678529212355204800 cubed (1386785292123552048003) is 2667028649739706740474532495854860031979077691367534592000000
  • The square root of 138678529212355204800 is 11776184832.6338358641
  • The cube root of 138678529212355204800 is 5176104.9764571799

Scales and comparisons

How big is 138678529212355204800?
  • 138,678,529,212,355,204,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,678,529,212,355,204,800 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 138678529212355204800 cubic inches would be around 431342.1 feet tall.

Recreational maths with 138678529212355204800

  • 138678529212355204800 backwards is 008402553212925876831
  • 138678529212355204800 is a Harshad number.
  • The number of decimal digits it has is: 21
  • The sum of 138678529212355204800's digits is 81
  • More coming soon!

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"Number 138678529212355204800 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.

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Numbermatics. (2024). Number 138678529212355204800 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/138678529212355204800/

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The information we have on file for 138678529212355204800 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 138678529212355204800, math, Factors of 138678529212355204800, curriculum, school, college, exams, university, Prime factorization of 138678529212355204800, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, six hundred seventy-eight quadrillion, five hundred twenty-nine trillion, two hundred twelve billion, three hundred fifty-five million, two hundred four thousand, eight hundred.

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