137993866011251048448000

137,993,866,011,251,048,448,000 is an even composite number composed of six prime numbers multiplied together.

What does the number 137993866011251048448000 look like?

This visualization shows the relationship between its 6 prime factors (large circles) and 35328 divisors.

137993866011251048448000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of thirty-five thousand, three hundred twenty-eight divisors.

Prime factorization of 137993866011251048448000:

222 × 37 × 53 × 132 × 193 × 473

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 13 × 19 × 19 × 19 × 47 × 47 × 47)

See below for interesting mathematical facts about the number 137993866011251048448000 from the Numbermatics database.


Names of 137993866011251048448000

  • Cardinal: 137993866011251048448000 can be written as One hundred thirty-seven sextillion, nine hundred ninety-three quintillion, eight hundred sixty-six quadrillion, eleven trillion, two hundred fifty-one billion, forty-eight million, four hundred forty-eight thousand.

Scientific notation

  • Scientific notation: 1.37993866011251048448 × 1023

Factors of 137993866011251048448000

  • Number of distinct prime factors ω(n): 6
  • Total number of prime factors Ω(n): 40
  • Sum of prime factors: 89

Divisors of 137993866011251048448000

Bases of 137993866011251048448000

  • Binary: 111010011100010101001100101110101111001100101011011001100000000000000000000002
  • Hexadecimal: 0x1D38A9975E656CC00000
  • Base-36: MGYKP899GLXC000

Squares and roots of 137993866011251048448000

  • 137993866011251048448000 squared (1379938660112510484480002) is 19042307056731107343912226027179243208704000000
  • 137993866011251048448000 cubed (1379938660112510484480003) is 2627721568531652744104413607391329898214630039785103679291392000000000
  • The square root of 137993866011251048448000 is 371475256257.0635719295
  • The cube root of 137993866011251048448000 is 51675726.8528140393

Scales and comparisons

How big is 137993866011251048448000?
  • 137,993,866,011,251,048,448,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 137,993,866,011,251,048,448,000 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 137993866011251048448000 cubic inches would be around 4306310.6 feet tall.

Recreational maths with 137993866011251048448000

  • 137993866011251048448000 backwards is 000844840152110668399731
  • 137993866011251048448000 is a Harshad number.
  • The number of decimal digits it has is: 24
  • The sum of 137993866011251048448000's digits is 90
  • More coming soon!

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The information we have on file for 137993866011251048448000 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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