48144

48,144 is an even composite number composed of four prime numbers multiplied together.

What does the number 48144 look like?

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

48144 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 48144:

2⁴ × 3 × 17 × 59

(2 × 2 × 2 × 2 × 3 × 17 × 59)

See below for interesting mathematical facts about the number 48144 from the Numbermatics database.

Names of 48144

Cardinal: 48144 can be written as Forty-eight thousand, one hundred forty-four.

Scientific notation

Scientific notation: 4.8144 × 10⁴

Factors of 48144

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 7
Sum of prime factors: 81

Divisors of 48144

Number of divisors d(n): 40
Complete list of divisors:
1 2 3 4 6 8 12 16 17 24 34 48 51 59 68 102 118 136 177 204 236 272 354 408 472 708 816 944 1003 1416 2006 2832 3009 4012 6018 8024 12036 16048 24072 48144
Sum of all divisors σ(n): 133920
Sum of proper divisors (its aliquot sum) s(n): 85776
48144 is an abundant number, because the sum of its proper divisors (85776) is greater than itself. Its abundance is 37632

Bases of 48144

Binary: 1011110000010000₂
Hexadecimal: 0xBC10
Base-36: 115C

Squares and roots of 48144

48144 squared (48144²) is 2317844736
48144 cubed (48144³) is 111590316969984
The square root of 48144 is 219.4174104305
The cube root of 48144 is 36.3787179867

Scales and comparisons

How big is 48144?

48,144 seconds is equal to 13 hours, 22 minutes, 24 seconds.
To count from 1 to 48,144 would take you about thirteen 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 48144 cubic inches would be around 3 feet tall.

Recreational maths with 48144

48144 backwards is 44184
The number of decimal digits it has is: 5
The sum of 48144's digits is 21
More coming soon!

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The information we have on file for 48144 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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