138435536406498508800

138,435,536,406,498,508,800 is an even composite number composed of five prime numbers multiplied together.

What does the number 138435536406498508800 look like?

This visualization shows the relationship between its 5 prime factors (large circles) and 10080 divisors.

138435536406498508800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of ten thousand and eighty divisors.

Prime factorization of 138435536406498508800:

227 × 311 × 52 × 74 × 97

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 7 × 97)

See below for interesting mathematical facts about the number 138435536406498508800 from the Numbermatics database.


Names of 138435536406498508800

  • Cardinal: 138435536406498508800 can be written as One hundred thirty-eight quintillion, four hundred thirty-five quadrillion, five hundred thirty-six trillion, four hundred six billion, four hundred ninety-eight million, five hundred eight thousand, eight hundred.

Scientific notation

  • Scientific notation: 1.384355364064985088 × 1020

Factors of 138435536406498508800

  • Number of distinct prime factors ω(n): 5
  • Total number of prime factors Ω(n): 45
  • Sum of prime factors: 114

Divisors of 138435536406498508800

Bases of 138435536406498508800

  • Binary: 11110000001001011011101001011100110000110000000000000000000000000002
  • Hexadecimal: 0x7812DD2E618000000
  • Base-36: T7RNQ22O00000

Squares and roots of 138435536406498508800

  • 138435536406498508800 squared (1384355364064985088002) is 19164397740154974063098471256623677440000
  • 138435536406498508800 cubed (1384355364064985088003) is 2653033681065841660914221526743498010074694842132201472000000
  • The square root of 138435536406498508800 is 11765863181.5306482767
  • The cube root of 138435536406498508800 is 5173080.0150371483

Scales and comparisons

How big is 138435536406498508800?
  • 138,435,536,406,498,508,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,435,536,406,498,508,800 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 138435536406498508800 cubic inches would be around 431090 feet tall.

Recreational maths with 138435536406498508800

  • 138435536406498508800 backwards is 008805894604635534831
  • 138435536406498508800 is a Harshad number.
  • The number of decimal digits it has is: 21
  • The sum of 138435536406498508800's digits is 90
  • More coming soon!

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"Number 138435536406498508800 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.

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The information we have on file for 138435536406498508800 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 138435536406498508800, math, Factors of 138435536406498508800, curriculum, school, college, exams, university, Prime factorization of 138435536406498508800, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, four hundred thirty-five quadrillion, five hundred thirty-six trillion, four hundred six billion, four hundred ninety-eight million, five hundred eight thousand, eight hundred.

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