18144

18,144 is an even composite number composed of three prime numbers multiplied together.

What does the number 18144 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 60 divisors.

18144 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixty divisors.

Prime factorization of 18144:

2⁵ × 3⁴ × 7

(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7)

See below for interesting mathematical facts about the number 18144 from the Numbermatics database.

Names of 18144

Cardinal: 18144 can be written as Eighteen thousand, one hundred forty-four.

Scientific notation

Scientific notation: 1.8144 × 10⁴

Factors of 18144

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 10
Sum of prime factors: 12

Divisors of 18144

Number of divisors d(n): 60
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 648 672 756 864 1008 1134 1296 1512 2016 2268 2592 3024 4536 6048 9072 18144
Sum of all divisors σ(n): 60984
Sum of proper divisors (its aliquot sum) s(n): 42840
18144 is an abundant number, because the sum of its proper divisors (42840) is greater than itself. Its abundance is 24696

Bases of 18144

Binary: 100011011100000₂
Hexadecimal: 0x46E0
Base-36: E00

Squares and roots of 18144

18144 squared (18144²) is 329204736
18144 cubed (18144³) is 5973090729984
The square root of 18144 is 134.6996659239
The cube root of 18144 is 26.2771148393

Scales and comparisons

How big is 18144?

18,144 seconds is equal to 5 hours, 2 minutes, 24 seconds.
To count from 1 to 18,144 would take you about five 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 18144 cubic inches would be around 2.2 feet tall.

Recreational maths with 18144

18144 backwards is 44181
18144 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 18144's digits is 18
More coming soon!

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The information we have on file for 18144 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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