108144

108,144 is an even composite number composed of three prime numbers multiplied together.

What does the number 108144 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 30 divisors.

108144 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty divisors.

Prime factorization of 108144:

2⁴ × 3² × 751

(2 × 2 × 2 × 2 × 3 × 3 × 751)

See below for interesting mathematical facts about the number 108144 from the Numbermatics database.

Names of 108144

Cardinal: 108144 can be written as One hundred eight thousand, one hundred forty-four.

Scientific notation

Scientific notation: 1.08144 × 10⁵

Factors of 108144

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 7
Sum of prime factors: 756

Divisors of 108144

Number of divisors d(n): 30
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 751 1502 2253 3004 4506 6008 6759 9012 12016 13518 18024 27036 36048 54072 108144
Sum of all divisors σ(n): 303056
Sum of proper divisors (its aliquot sum) s(n): 194912
108144 is an abundant number, because the sum of its proper divisors (194912) is greater than itself. Its abundance is 86768

Bases of 108144

Binary: 11010011001110000₂
Hexadecimal: 0x1A670
Base-36: 2BG0

Squares and roots of 108144

108144 squared (108144²) is 11695124736
108144 cubed (108144³) is 1264757569449984
The square root of 108144 is 328.8525505451
The cube root of 108144 is 47.6431875065

Scales and comparisons

How big is 108144?

108,144 seconds is equal to 1 day, 6 hours, 2 minutes, 24 seconds.
To count from 1 to 108,144 would take you about six 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 108144 cubic inches would be around 4 feet tall.

Recreational maths with 108144

108144 backwards is 441801
108144 is a Harshad number.
The number of decimal digits it has is: 6
The sum of 108144's digits is 18
More coming soon!

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The information we have on file for 108144 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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