138225599777210400

138,225,599,777,210,400 is an even composite number composed of eight prime numbers multiplied together.

What does the number 138225599777210400 look like?

This visualization shows the relationship between its 8 prime factors (large circles) and 14256 divisors.

138225599777210400 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of fourteen thousand, two hundred fifty-six divisors.

Prime factorization of 138225599777210400:

25 × 310 × 52 × 7 × 132 × 19 × 29 × 672

(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 13 × 13 × 19 × 29 × 67 × 67)

See below for interesting mathematical facts about the number 138225599777210400 from the Numbermatics database.


Names of 138225599777210400

  • Cardinal: 138225599777210400 can be written as One hundred thirty-eight quadrillion, two hundred twenty-five trillion, five hundred ninety-nine billion, seven hundred seventy-seven million, two hundred ten thousand, four hundred.

Scientific notation

  • Scientific notation: 1.382255997772104 × 1017

Factors of 138225599777210400

  • Number of distinct prime factors ω(n): 8
  • Total number of prime factors Ω(n): 24
  • Sum of prime factors: 145

Divisors of 138225599777210400

Bases of 138225599777210400

  • Binary: 1111010110001001101110011010111011001011000000000001000002
  • Hexadecimal: 0x1EB13735D960020
  • Base-36: 11T0VVWS4I00

Squares and roots of 138225599777210400

  • 138225599777210400 squared (1382255997772104002) is 19106316433769547782115205868160000
  • 138225599777210400 cubed (1382255997772104003) is 2640982048590967408158599557691603026714980864000000
  • The square root of 138225599777210400 is 371787035.5152400951
  • The cube root of 138225599777210400 is 517046.3710840207

Scales and comparisons

How big is 138225599777210400?
  • 138,225,599,777,210,400 seconds is equal to 4,395,146,513 years, 3 weeks, 1 day, 18 hours.
  • To count from 1 to 138,225,599,777,210,400 would take you about thirteen billion, one hundred eighty-five million, four hundred thirty-nine thousand, five hundred thirty-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 138225599777210400 cubic inches would be around 43087.2 feet tall.

Recreational maths with 138225599777210400

  • 138225599777210400 backwards is 004012777995522831
  • 138225599777210400 is a Harshad number.
  • The number of decimal digits it has is: 18
  • The sum of 138225599777210400's digits is 72
  • More coming soon!

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"Number 138225599777210400 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.

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The information we have on file for 138225599777210400 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 138225599777210400, math, Factors of 138225599777210400, curriculum, school, college, exams, university, Prime factorization of 138225599777210400, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, two hundred twenty-five trillion, five hundred ninety-nine billion, seven hundred seventy-seven million, two hundred ten thousand, four hundred.

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