137968528199040

137,968,528,199,040 is an even composite number composed of seven prime numbers multiplied together.

What does the number 137968528199040 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 4320 divisors.

137968528199040 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four thousand, three hundred twenty divisors.

Prime factorization of 137968528199040:

27 × 32 × 5 × 72 × 112 × 194 × 31

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 11 × 11 × 19 × 19 × 19 × 19 × 31)

See below for interesting mathematical facts about the number 137968528199040 from the Numbermatics database.


Names of 137968528199040

  • Cardinal: 137968528199040 can be written as One hundred thirty-seven trillion, nine hundred sixty-eight billion, five hundred twenty-eight million, one hundred ninety-nine thousand and forty.

Scientific notation

  • Scientific notation: 1.3796852819904 × 1014

Factors of 137968528199040

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 19
  • Sum of prime factors: 78

Divisors of 137968528199040

Bases of 137968528199040

  • Binary: 111110101111011010011010001110100001101100000002
  • Hexadecimal: 0x7D7B4D1D0D80
  • Base-36: 1CWLV7G4G0

Squares and roots of 137968528199040

  • 137968528199040 squared (1379685281990402) is 19035314773409295665856921600
  • 137968528199040 cubed (1379685281990403) is 2626274363092723117034445541095566475264000
  • The square root of 137968528199040 is 11746000.5192848517
  • The cube root of 137968528199040 is 51672.5638378003

Scales and comparisons

How big is 137968528199040?
  • 137,968,528,199,040 seconds is equal to 4,386,972 years, 22 weeks, 3 days, 6 hours, 24 minutes.
  • To count from 1 to 137,968,528,199,040 would take you about ten million, nine hundred sixty-seven thousand, four hundred thirty-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 137968528199040 cubic inches would be around 4306 feet tall.

Recreational maths with 137968528199040

  • 137968528199040 backwards is 040991825869731
  • 137968528199040 is a Harshad number.
  • The number of decimal digits it has is: 15
  • The sum of 137968528199040's digits is 72
  • More coming soon!

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"Number 137968528199040 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.

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Numbermatics. (2024). Number 137968528199040 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/137968528199040/

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Numbermatics. 2024. "Number 137968528199040 - Facts about the integer". https://numbermatics.com/n/137968528199040/

The information we have on file for 137968528199040 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 137968528199040, math, Factors of 137968528199040, curriculum, school, college, exams, university, Prime factorization of 137968528199040, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven trillion, nine hundred sixty-eight billion, five hundred twenty-eight million, one hundred ninety-nine thousand and forty.

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