168144

168,144 is an even composite number composed of four prime numbers multiplied together.

What does the number 168144 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 40 divisors.

168144 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of forty divisors.

Prime factorization of 168144:

2⁴ × 3 × 31 × 113

(2 × 2 × 2 × 2 × 3 × 31 × 113)

See below for interesting mathematical facts about the number 168144 from the Numbermatics database.

Names of 168144

Cardinal: 168144 can be written as One hundred sixty-eight thousand, one hundred forty-four.

Scientific notation

Scientific notation: 1.68144 × 10⁵

Factors of 168144

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 7
Sum of prime factors: 149

Divisors of 168144

Number of divisors d(n): 40
Complete list of divisors:
1 2 3 4 6 8 12 16 24 31 48 62 93 113 124 186 226 248 339 372 452 496 678 744 904 1356 1488 1808 2712 3503 5424 7006 10509 14012 21018 28024 42036 56048 84072 168144
Sum of all divisors σ(n): 452352
Sum of proper divisors (its aliquot sum) s(n): 284208
168144 is an abundant number, because the sum of its proper divisors (284208) is greater than itself. Its abundance is 116064

Bases of 168144

Binary: 101001000011010000₂
Hexadecimal: 0x290D0
Base-36: 3LQO

Squares and roots of 168144

168144 squared (168144²) is 28272404736
168144 cubed (168144³) is 4753835221929984
The square root of 168144 is 410.0536550257
The cube root of 168144 is 55.1942443065

Scales and comparisons

How big is 168144?

168,144 seconds is equal to 1 day, 22 hours, 42 minutes, 24 seconds.
To count from 1 to 168,144 would take you about twenty-two 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 168144 cubic inches would be around 4.6 feet tall.

Recreational maths with 168144

168144 backwards is 441861
168144 is a Harshad number.
The number of decimal digits it has is: 6
The sum of 168144's digits is 24
More coming soon!

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The information we have on file for 168144 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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