138946788714254400

138,946,788,714,254,400 is an even composite number composed of nine prime numbers multiplied together.

What does the number 138946788714254400 look like?

This visualization shows the relationship between its 9 prime factors (large circles) and 14112 divisors.

138946788714254400 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of fourteen thousand, one hundred twelve divisors.

Prime factorization of 138946788714254400:

26 × 36 × 52 × 112 × 17 × 19 × 29 × 61 × 1723

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 11 × 11 × 17 × 19 × 29 × 61 × 1723)

See below for interesting mathematical facts about the number 138946788714254400 from the Numbermatics database.


Names of 138946788714254400

  • Cardinal: 138946788714254400 can be written as One hundred thirty-eight quadrillion, nine hundred forty-six trillion, seven hundred eighty-eight billion, seven hundred fourteen million, two hundred fifty-four thousand, four hundred.

Scientific notation

  • Scientific notation: 1.389467887142544 × 1017

Factors of 138946788714254400

  • Number of distinct prime factors ω(n): 9
  • Total number of prime factors Ω(n): 21
  • Sum of prime factors: 1870

Divisors of 138946788714254400

Bases of 138946788714254400

  • Binary: 1111011011010001101011110001111111111111010010000010000002
  • Hexadecimal: 0x1EDA35E3FFE9040
  • Base-36: 1204IXJ8P000

Squares and roots of 138946788714254400

  • 138946788714254400 squared (1389467887142544002) is 19306210094003653899893747919360000
  • 138946788714254400 cubed (1389467887142544003) is 2682535894804531276620433228753023999573725184000000
  • The square root of 138946788714254400 is 372755668.9230284529
  • The cube root of 138946788714254400 is 517944.0376157561

Scales and comparisons

How big is 138946788714254400?
  • 138,946,788,714,254,400 seconds is equal to 4,418,078,090 years, 24 weeks, 5 days, 12 hours.
  • To count from 1 to 138,946,788,714,254,400 would take you about thirteen billion, two hundred fifty-four million, two hundred thirty-four thousand, two hundred seventy-one 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 138946788714254400 cubic inches would be around 43162 feet tall.

Recreational maths with 138946788714254400

  • 138946788714254400 backwards is 004452417887649831
  • 138946788714254400 is a Harshad number.
  • The number of decimal digits it has is: 18
  • The sum of 138946788714254400's digits is 81
  • More coming soon!

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"Number 138946788714254400 - Facts about the integer". Numbermatics.com. 2024. Web. 20 September 2024.

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Numbermatics. (2024). Number 138946788714254400 - Facts about the integer. Retrieved 20 September 2024, from https://numbermatics.com/n/138946788714254400/

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The information we have on file for 138946788714254400 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 138946788714254400, math, Factors of 138946788714254400, curriculum, school, college, exams, university, Prime factorization of 138946788714254400, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, nine hundred forty-six trillion, seven hundred eighty-eight billion, seven hundred fourteen million, two hundred fifty-four thousand, four hundred.

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