828313025638146048

828,313,025,638,146,048 is an even composite number composed of eight prime numbers multiplied together.

What does the number 828313025638146048 look like?

This visualization shows the relationship between its 8 prime factors (large circles) and 16800 divisors.

828313025638146048 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of sixteen thousand, eight hundred divisors.

Prime factorization of 828313025638146048:

213 × 34 × 7 × 11 × 134 × 232 × 29 × 37

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 11 × 13 × 13 × 13 × 13 × 23 × 23 × 29 × 37)

See below for interesting mathematical facts about the number 828313025638146048 from the Numbermatics database.


Names of 828313025638146048

  • Cardinal: 828313025638146048 can be written as Eight hundred twenty-eight quadrillion, three hundred thirteen trillion, twenty-five billion, six hundred thirty-eight million, one hundred forty-six thousand and forty-eight.

Scientific notation

  • Scientific notation: 8.28313025638146048 × 1017

Factors of 828313025638146048

  • Number of distinct prime factors ω(n): 8
  • Total number of prime factors Ω(n): 27
  • Sum of prime factors: 125

Divisors of 828313025638146048

Bases of 828313025638146048

  • Binary: 1011011111101100001001001110111001111111110110100000000000002
  • Hexadecimal: 0xB7EC24EE7FDA000
  • Base-36: 6AJWGMTCE800

Squares and roots of 828313025638146048

  • 828313025638146048 squared (8283130256381460482) is 686102468441819992228580778578018304
  • 828313025638146048 cubed (8283130256381460483) is 568307611532844533027524382128873076389935040369262592
  • The square root of 828313025638146048 is 910117039.5274148739
  • The cube root of 828313025638146048 is 939142.5051796005

Scales and comparisons

How big is 828313025638146048?
  • 828,313,025,638,146,048 seconds is equal to 26,337,792,074 years, 45 weeks, 5 days, 7 hours, 40 minutes, 48 seconds.
  • To count from 1 to 828,313,025,638,146,048 would take you about seventy-nine billion, thirteen million, three hundred seventy-six thousand, two hundred twenty-four 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 828313025638146048 cubic inches would be around 78261.9 feet tall.

Recreational maths with 828313025638146048

  • 828313025638146048 backwards is 840641836520313828
  • 828313025638146048 is a Harshad number.
  • The number of decimal digits it has is: 18
  • The sum of 828313025638146048's digits is 72
  • More coming soon!

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"Number 828313025638146048 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.

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Numbermatics. (2024). Number 828313025638146048 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/828313025638146048/

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The information we have on file for 828313025638146048 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 828313025638146048, math, Factors of 828313025638146048, curriculum, school, college, exams, university, Prime factorization of 828313025638146048, STEM, science, technology, engineering, physics, economics, calculator, eight hundred twenty-eight quadrillion, three hundred thirteen trillion, twenty-five billion, six hundred thirty-eight million, one hundred forty-six thousand and forty-eight.

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