48918144
48,918,144 is an even composite number composed of five prime numbers multiplied together.
48918144 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 48918144:
27 × 3 × 11 × 37 × 313
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 37 × 313)See below for interesting mathematical facts about the number 48918144 from the Numbermatics database.
Names of 48918144
- Cardinal: 48918144 can be written as Forty-eight million, nine hundred eighteen thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 4.8918144 × 107
Factors of 48918144
Divisors of 48918144
- Number of divisors d(n): 128
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Complete list of divisors:
1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 64 66 74 88 96 111 128 132 148 176 192 222 264 296 313 352 384 407 444 528 592 626 704 814 888 939 1056 1184 1221 1252 1408 1628 1776 1878 2112 2368 2442 2504 3256 3443 3552 3756 4224 4736 4884 5008 6512 6886 7104 7512 9768 10016 10329 11581 13024 13772 14208 15024 19536 20032 20658 23162 26048 27544 30048 34743 39072 40064 41316 46324 52096 55088 60096 69486 78144 82632 92648 110176 120192 127391 138972 156288 165264 185296 220352 254782 277944 330528 370592 382173 440704 509564 555888 661056 741184 764346 1019128 1111776 1322112 1482368 1528692 2038256 2223552 3057384 4076512 4447104 6114768 8153024 12229536 16306048 24459072 48918144
- Sum of all divisors σ(n): 146047680
- Sum of proper divisors (its aliquot sum) s(n): 97129536
- 48918144 is an abundant number, because the sum of its proper divisors (97129536) is greater than itself. Its abundance is 48211392
Bases of 48918144
- Binary: 101110101001101110100000002
- Hexadecimal: 0x2EA6E80
- Base-36: T4HHC
Squares and roots of 48918144
- 48918144 squared (489181442) is 2392984812404736
- 48918144 cubed (489181443) is 117060375643027861929984
-
The
square root of 48918144 is 6994.1506989771 -
The
cube root of 48918144 is 365.7266913575
Scales and comparisons
How big is 48918144?- 48,918,144 seconds is equal to 1 year, 28 weeks, 6 days, 4 hours, 22 minutes, 24 seconds.
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To count from 1 to 48,918,144 would take you about two years!
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 48918144 cubic inches would be around 30.5 feet tall.
Recreational maths with 48918144
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The information we have on file for 48918144 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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