3948866146368000

3,948,866,146,368,000 is an even composite number composed of eight prime numbers multiplied together.

What does the number 3948866146368000 look like?

This visualization shows the relationship between its 8 prime factors (large circles) and 11520 divisors.

3948866146368000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of eleven thousand, five hundred twenty divisors.

Prime factorization of 3948866146368000:

29 × 32 × 53 × 112 × 133 × 17 × 37 × 41

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 11 × 11 × 13 × 13 × 13 × 17 × 37 × 41)

See below for interesting mathematical facts about the number 3948866146368000 from the Numbermatics database.


Names of 3948866146368000

  • Cardinal: 3948866146368000 can be written as Three quadrillion, nine hundred forty-eight trillion, eight hundred sixty-six billion, one hundred forty-six million, three hundred sixty-eight thousand.

Scientific notation

  • Scientific notation: 3.948866146368 × 1015

Factors of 3948866146368000

  • Number of distinct prime factors ω(n): 8
  • Total number of prime factors Ω(n): 22
  • Sum of prime factors: 129

Divisors of 3948866146368000

Bases of 3948866146368000

  • Binary: 11100000011101111001000010111110101101111010000000002
  • Hexadecimal: 0xE07790BEB7A00
  • Base-36: 12VR82AUF40

Squares and roots of 3948866146368000

  • 3948866146368000 squared (39488661463680002) is 15593543841931258799591424000000
  • 3948866146368000 cubed (39488661463680003) is 61576817379307547266701876103781548032000000000
  • The square root of 3948866146368000 is 62840004.3472945663
  • The cube root of 3948866146368000 is 158060.7861284979

Scales and comparisons

How big is 3948866146368000?
  • 3,948,866,146,368,000 seconds is equal to 125,561,728 years, 42 weeks, 16 hours.
  • To count from 1 to 3,948,866,146,368,000 would take you about three hundred seventy-six million, six hundred eighty-five thousand, one hundred eighty-six 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 3948866146368000 cubic inches would be around 13171.7 feet tall.

Recreational maths with 3948866146368000

  • 3948866146368000 backwards is 0008636416688493
  • 3948866146368000 is a Harshad number.
  • The number of decimal digits it has is: 16
  • The sum of 3948866146368000's digits is 72
  • More coming soon!

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"Number 3948866146368000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 September 2024.

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Numbermatics. (2024). Number 3948866146368000 - Facts about the integer. Retrieved 24 September 2024, from https://numbermatics.com/n/3948866146368000/

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The information we have on file for 3948866146368000 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 3948866146368000, math, Factors of 3948866146368000, curriculum, school, college, exams, university, Prime factorization of 3948866146368000, STEM, science, technology, engineering, physics, economics, calculator, three quadrillion, nine hundred forty-eight trillion, eight hundred sixty-six billion, one hundred forty-six million, three hundred sixty-eight thousand.

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