138042837680261340006180

138,042,837,680,261,340,006,180 is an even composite number composed of seven prime numbers multiplied together.

What does the number 138042837680261340006180 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 3888 divisors.

138042837680261340006180 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, eight hundred eighty-eight divisors.

Prime factorization of 138042837680261340006180:

22 × 311 × 5 × 7 × 112 × 132 × 5217232

(2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 11 × 11 × 13 × 13 × 521723 × 521723)

See below for interesting mathematical facts about the number 138042837680261340006180 from the Numbermatics database.


Names of 138042837680261340006180

  • Cardinal: 138042837680261340006180 can be written as One hundred thirty-eight sextillion, forty-two quintillion, eight hundred thirty-seven quadrillion, six hundred eighty trillion, two hundred sixty-one billion, three hundred forty million, six thousand, one hundred eighty.

Scientific notation

  • Scientific notation: 1.3804283768026134000618 × 1023

Factors of 138042837680261340006180

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 21
  • Sum of prime factors: 521764

Divisors of 138042837680261340006180

Bases of 138042837680261340006180

  • Binary: 111010011101101010001001101011010111111100101111001010010111100000111001001002
  • Hexadecimal: 0x1D3B5135AFE5E52F0724
  • Base-36: MH8WRIX3TI4N290

Squares and roots of 138042837680261340006180

  • 138042837680261340006180 squared (1380428376802613400061802) is 19055825034818980014504860172323630162438192400
  • 138042837680261340006180 cubed (1380428376802613400061803) is 2630520162144976855757823049291339703588882519877421263605684029032000
  • The square root of 138042837680261340006180 is 371541165525.7884610577
  • The cube root of 138042837680261340006180 is 51681839.0744712965

Scales and comparisons

How big is 138042837680261340006180?
  • 138,042,837,680,261,340,006,180 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,042,837,680,261,340,006,180 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 138042837680261340006180 cubic inches would be around 4306819.9 feet tall.

Recreational maths with 138042837680261340006180

  • 138042837680261340006180 backwards is 081600043162086738240831
  • 138042837680261340006180 is a Harshad number.
  • The number of decimal digits it has is: 24
  • The sum of 138042837680261340006180's digits is 81
  • More coming soon!

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"Number 138042837680261340006180 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.

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Numbermatics. (2024). Number 138042837680261340006180 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/138042837680261340006180/

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The information we have on file for 138042837680261340006180 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 138042837680261340006180, math, Factors of 138042837680261340006180, curriculum, school, college, exams, university, Prime factorization of 138042837680261340006180, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight sextillion, forty-two quintillion, eight hundred thirty-seven quadrillion, six hundred eighty trillion, two hundred sixty-one billion, three hundred forty million, six thousand, one hundred eighty.

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