138417360768815923200

138,417,360,768,815,923,200 is an even composite number composed of seven prime numbers multiplied together.

What does the number 138417360768815923200 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 9792 divisors.

138417360768815923200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine thousand, seven hundred ninety-two divisors.

Prime factorization of 138417360768815923200:

216 × 3 × 52 × 7 × 173 × 413 × 1092

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 17 × 17 × 17 × 41 × 41 × 41 × 109 × 109)

See below for interesting mathematical facts about the number 138417360768815923200 from the Numbermatics database.


Names of 138417360768815923200

  • Cardinal: 138417360768815923200 can be written as One hundred thirty-eight quintillion, four hundred seventeen quadrillion, three hundred sixty trillion, seven hundred sixty-eight billion, eight hundred fifteen million, nine hundred twenty-three thousand, two hundred.

Scientific notation

  • Scientific notation: 1.384173607688159232 × 1020

Factors of 138417360768815923200

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 28
  • Sum of prime factors: 184

Divisors of 138417360768815923200

Bases of 138417360768815923200

  • Binary: 11110000000111011010100000001000000101011000101110100000000000000002
  • Hexadecimal: 0x780ED4040AC5D0000
  • Base-36: T7MORBXZGUHHC

Squares and roots of 138417360768815923200

  • 138417360768815923200 squared (1384173607688159232002) is 19159365762204541421691427765868298240000
  • 138417360768815923200 cubed (1384173607688159232003) is 2651988842808765879996930346332523493415595560998535168000000
  • The square root of 138417360768815923200 is 11765090767.5553410157
  • The cube root of 138417360768815923200 is 5172853.6084710769

Scales and comparisons

How big is 138417360768815923200?
  • 138,417,360,768,815,923,200 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,417,360,768,815,923,200 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 138417360768815923200 cubic inches would be around 431071.1 feet tall.

Recreational maths with 138417360768815923200

  • 138417360768815923200 backwards is 002329518867063714831
  • 138417360768815923200 is a Harshad number.
  • The number of decimal digits it has is: 21
  • The sum of 138417360768815923200's digits is 84
  • More coming soon!

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"Number 138417360768815923200 - Facts about the integer". Numbermatics.com. 2024. Web. 24 September 2024.

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The information we have on file for 138417360768815923200 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 138417360768815923200, math, Factors of 138417360768815923200, curriculum, school, college, exams, university, Prime factorization of 138417360768815923200, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, four hundred seventeen quadrillion, three hundred sixty trillion, seven hundred sixty-eight billion, eight hundred fifteen million, nine hundred twenty-three thousand, two hundred.

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