30144

30,144 is an even composite number composed of three prime numbers multiplied together.

What does the number 30144 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 28 divisors.

30144 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-eight divisors.

Prime factorization of 30144:

2⁶ × 3 × 157

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 157)

See below for interesting mathematical facts about the number 30144 from the Numbermatics database.

Names of 30144

Cardinal: 30144 can be written as Thirty thousand, one hundred forty-four.

Scientific notation

Scientific notation: 3.0144 × 10⁴

Factors of 30144

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 8
Sum of prime factors: 162

Divisors of 30144

Number of divisors d(n): 28
Complete list of divisors:
1 2 3 4 6 8 12 16 24 32 48 64 96 157 192 314 471 628 942 1256 1884 2512 3768 5024 7536 10048 15072 30144
Sum of all divisors σ(n): 80264
Sum of proper divisors (its aliquot sum) s(n): 50120
30144 is an abundant number, because the sum of its proper divisors (50120) is greater than itself. Its abundance is 19976

Bases of 30144

Binary: 111010111000000₂
Hexadecimal: 0x75C0
Base-36: N9C

Squares and roots of 30144

30144 squared (30144²) is 908660736
30144 cubed (30144³) is 27390669225984
The square root of 30144 is 173.6202753137
The cube root of 30144 is 31.1219614459

Scales and comparisons

How big is 30144?

30,144 seconds is equal to 8 hours, 22 minutes, 24 seconds.
To count from 1 to 30,144 would take you about eight 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 30144 cubic inches would be around 2.6 feet tall.

Recreational maths with 30144

30144 backwards is 44103
30144 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 30144's digits is 12
More coming soon!

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The information we have on file for 30144 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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