148408821680812201600

148,408,821,680,812,201,600 is an even composite number composed of six prime numbers multiplied together.

What does the number 148408821680812201600 look like?

This visualization shows the relationship between its 6 prime factors (large circles) and 5760 divisors.

148408821680812201600 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five thousand, seven hundred sixty divisors.

Prime factorization of 148408821680812201600:

27 × 52 × 74 × 132 × 233 × 2113

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 7 × 13 × 13 × 23 × 23 × 23 × 211 × 211 × 211)

See below for interesting mathematical facts about the number 148408821680812201600 from the Numbermatics database.


Names of 148408821680812201600

  • Cardinal: 148408821680812201600 can be written as One hundred forty-eight quintillion, four hundred eight quadrillion, eight hundred twenty-one trillion, six hundred eighty billion, eight hundred twelve million, two hundred one thousand, six hundred.

Scientific notation

  • Scientific notation: 1.484088216808122016 × 1020

Factors of 148408821680812201600

  • Number of distinct prime factors ω(n): 6
  • Total number of prime factors Ω(n): 21
  • Sum of prime factors: 261

Divisors of 148408821680812201600

Bases of 148408821680812201600

  • Binary: 100000001011100101100000110100000011110110110001101000010110100000002
  • Hexadecimal: 0x80B960D03DB1A1680
  • Base-36: VBJGOMN37F7GG

Squares and roots of 148408821680812201600

  • 148408821680812201600 squared (1484088216808122016002) is 22025178352687113787245881047439042560000
  • 148408821680812201600 cubed (1484088216808122016003) is 3268730766632026903983581256801255652137110367069700096000000
  • The square root of 148408821680812201600 is 12182315940.7730105711
  • The cube root of 148408821680812201600 is 5294438.4722491737

Scales and comparisons

How big is 148408821680812201600?
  • 148,408,821,680,812,201,600 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 148,408,821,680,812,201,600 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 148408821680812201600 cubic inches would be around 441203.2 feet tall.

Recreational maths with 148408821680812201600

  • 148408821680812201600 backwards is 006102218086128804841
  • 148408821680812201600 is a Harshad number.
  • The number of decimal digits it has is: 21
  • The sum of 148408821680812201600's digits is 70
  • More coming soon!

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"Number 148408821680812201600 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.

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Numbermatics. (2024). Number 148408821680812201600 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/148408821680812201600/

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Numbermatics. 2024. "Number 148408821680812201600 - Facts about the integer". https://numbermatics.com/n/148408821680812201600/

The information we have on file for 148408821680812201600 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 148408821680812201600, math, Factors of 148408821680812201600, curriculum, school, college, exams, university, Prime factorization of 148408821680812201600, STEM, science, technology, engineering, physics, economics, calculator, one hundred forty-eight quintillion, four hundred eight quadrillion, eight hundred twenty-one trillion, six hundred eighty billion, eight hundred twelve million, two hundred one thousand, six hundred.

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