138384457384941217382400

138,384,457,384,941,217,382,400 is an even composite number composed of six prime numbers multiplied together.

What does the number 138384457384941217382400 look like?

This visualization shows the relationship between its 6 prime factors (large circles) and 9504 divisors.

138384457384941217382400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine thousand, five hundred four divisors.

Prime factorization of 138384457384941217382400:

221 × 32 × 52 × 132 × 613 × 1973

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 13 × 13 × 61 × 61 × 61 × 197 × 197 × 197)

See below for interesting mathematical facts about the number 138384457384941217382400 from the Numbermatics database.


Names of 138384457384941217382400

  • Cardinal: 138384457384941217382400 can be written as One hundred thirty-eight sextillion, three hundred eighty-four quintillion, four hundred fifty-seven quadrillion, three hundred eighty-four trillion, nine hundred forty-one billion, two hundred seventeen million, three hundred eighty-two thousand, four hundred.

Scientific notation

  • Scientific notation: 1.383844573849412173824 × 1023

Factors of 138384457384941217382400

  • Number of distinct prime factors ω(n): 6
  • Total number of prime factors Ω(n): 33
  • Sum of prime factors: 281

Divisors of 138384457384941217382400

Bases of 138384457384941217382400

  • Binary: 111010100110111010110001000101010111101010011010110110010000000000000000000002
  • Hexadecimal: 0x1D4DD622AF535B200000
  • Base-36: MJ908BBMYIJCHS0

Squares and roots of 138384457384941217382400

  • 138384457384941217382400 squared (1383844573849412173824002) is 19150258045724611836944511553444131907829760000
  • 138384457384941217382400 cubed (1383844573849412173824003) is 2650098068439205225899671174504710079202321282185875684772020224000000
  • The square root of 138384457384941217382400 is 372000614764.1979601657
  • The cube root of 138384457384941217382400 is 51724436.9390701121

Scales and comparisons

How big is 138384457384941217382400?
  • 138,384,457,384,941,217,382,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,384,457,384,941,217,382,400 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 138384457384941217382400 cubic inches would be around 4310369.7 feet tall.

Recreational maths with 138384457384941217382400

  • 138384457384941217382400 backwards is 004283712149483754483831
  • The number of decimal digits it has is: 24
  • The sum of 138384457384941217382400's digits is 99
  • More coming soon!

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"Number 138384457384941217382400 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.

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The information we have on file for 138384457384941217382400 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!

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