138435831286882349875200

138,435,831,286,882,349,875,200 is an even composite number composed of seven prime numbers multiplied together.

What does the number 138435831286882349875200 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 15390 divisors.

138435831286882349875200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of fifteen thousand, three hundred ninety divisors.

Prime factorization of 138435831286882349875200:

218 × 34 × 52 × 72 × 13 × 372 × 172932

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 13 × 37 × 37 × 17293 × 17293)

See below for interesting mathematical facts about the number 138435831286882349875200 from the Numbermatics database.


Names of 138435831286882349875200

  • Cardinal: 138435831286882349875200 can be written as One hundred thirty-eight sextillion, four hundred thirty-five quintillion, eight hundred thirty-one quadrillion, two hundred eighty-six trillion, eight hundred eighty-two billion, three hundred forty-nine million, eight hundred seventy-five thousand, two hundred.

Scientific notation

  • Scientific notation: 1.384358312868823498752 × 1023

Factors of 138435831286882349875200

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 31
  • Sum of prime factors: 17360

Divisors of 138435831286882349875200

Bases of 138435831286882349875200

  • Binary: 111010101000010011111000101110111001011110011010100100001010000000000000000002
  • Hexadecimal: 0x1D509F1772F352140000
  • Base-36: MJJUJNBZGVD3400

Squares and roots of 138435831286882349875200

  • 138435831286882349875200 squared (1384358312868823498752002) is 19164479384090154090713599252316665455575040000
  • 138435831286882349875200 cubed (1384358312868823498752003) is 2653050634716839540308595485767015557433314988628308227688235008000000
  • The square root of 138435831286882349875200 is 372069659186.1292173257
  • The cube root of 138435831286882349875200 is 51730836.8807943433

Scales and comparisons

How big is 138435831286882349875200?
  • 138,435,831,286,882,349,875,200 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,435,831,286,882,349,875,200 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 138435831286882349875200 cubic inches would be around 4310903.1 feet tall.

Recreational maths with 138435831286882349875200

  • 138435831286882349875200 backwards is 002578943288682138534831
  • 138435831286882349875200 is a Harshad number.
  • The number of decimal digits it has is: 24
  • The sum of 138435831286882349875200's digits is 108
  • More coming soon!

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"Number 138435831286882349875200 - Facts about the integer". Numbermatics.com. 2024. Web. 23 May 2024.

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The information we have on file for 138435831286882349875200 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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