131648

131,648 is an even composite number composed of three prime numbers multiplied together.

What does the number 131648 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 42 divisors.

131648 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty-two divisors.

Prime factorization of 131648:

2⁶ × 11² × 17

(2 × 2 × 2 × 2 × 2 × 2 × 11 × 11 × 17)

See below for interesting mathematical facts about the number 131648 from the Numbermatics database.

Names of 131648

Cardinal: 131648 can be written as One hundred thirty-one thousand, six hundred forty-eight.

Scientific notation

Scientific notation: 1.31648 × 10⁵

Factors of 131648

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 9
Sum of prime factors: 30

Divisors of 131648

Number of divisors d(n): 42
Complete list of divisors:
1 2 4 8 11 16 17 22 32 34 44 64 68 88 121 136 176 187 242 272 352 374 484 544 704 748 968 1088 1496 1936 2057 2992 3872 4114 5984 7744 8228 11968 16456 32912 65824 131648
Sum of all divisors σ(n): 304038
Sum of proper divisors (its aliquot sum) s(n): 172390
131648 is an abundant number, because the sum of its proper divisors (172390) is greater than itself. Its abundance is 40742

Bases of 131648

Binary: 100000001001000000₂
Hexadecimal: 0x20240
Base-36: 2TKW

Squares and roots of 131648

131648 squared (131648²) is 17331195904
131648 cubed (131648³) is 2281617278369792
The square root of 131648 is 362.8332950543
The cube root of 131648 is 50.8711343545

Scales and comparisons

How big is 131648?

131,648 seconds is equal to 1 day, 12 hours, 34 minutes, 8 seconds.
To count from 1 to 131,648 would take you about twelve hours.

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 131648 cubic inches would be around 4.2 feet tall.

Recreational maths with 131648

131648 backwards is 846131
The number of decimal digits it has is: 6
The sum of 131648's digits is 23
More coming soon!

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The information we have on file for 131648 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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