121824

121,824 is an even composite number composed of three prime numbers multiplied together.

What does the number 121824 look like?

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

121824 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 121824:

2⁵ × 3⁴ × 47

(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 47)

See below for interesting mathematical facts about the number 121824 from the Numbermatics database.

Names of 121824

Cardinal: 121824 can be written as One hundred twenty-one thousand, eight hundred twenty-four.

Scientific notation

Scientific notation: 1.21824 × 10⁵

Factors of 121824

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 10
Sum of prime factors: 52

Divisors of 121824

Number of divisors d(n): 60
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 72 81 94 96 108 141 144 162 188 216 282 288 324 376 423 432 564 648 752 846 864 1128 1269 1296 1504 1692 2256 2538 2592 3384 3807 4512 5076 6768 7614 10152 13536 15228 20304 30456 40608 60912 121824
Sum of all divisors σ(n): 365904
Sum of proper divisors (its aliquot sum) s(n): 244080
121824 is an abundant number, because the sum of its proper divisors (244080) is greater than itself. Its abundance is 122256

Bases of 121824

Binary: 11101101111100000₂
Hexadecimal: 0x1DBE0
Base-36: 2M00

Squares and roots of 121824

121824 squared (121824²) is 14841086976
121824 cubed (121824³) is 1808000579764224
The square root of 121824 is 349.0329497339
The cube root of 121824 is 49.5728953541

Scales and comparisons

How big is 121824?

121,824 seconds is equal to 1 day, 9 hours, 50 minutes, 24 seconds.
To count from 1 to 121,824 would take you about nine 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 121824 cubic inches would be around 4.1 feet tall.

Recreational maths with 121824

121824 backwards is 428121
121824 is a Harshad number.
The number of decimal digits it has is: 6
The sum of 121824's digits is 18
More coming soon!

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The information we have on file for 121824 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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