54138144
54,138,144 is an even composite number composed of five prime numbers multiplied together.
54138144 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 54138144:
25 × 3 × 19 × 67 × 443
(2 × 2 × 2 × 2 × 2 × 3 × 19 × 67 × 443)See below for interesting mathematical facts about the number 54138144 from the Numbermatics database.
Names of 54138144
- Cardinal: 54138144 can be written as Fifty-four million, one hundred thirty-eight thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 5.4138144 × 107
Factors of 54138144
Divisors of 54138144
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 3 4 6 8 12 16 19 24 32 38 48 57 67 76 96 114 134 152 201 228 268 304 402 443 456 536 608 804 886 912 1072 1273 1329 1608 1772 1824 2144 2546 2658 3216 3544 3819 5092 5316 6432 7088 7638 8417 10184 10632 14176 15276 16834 20368 21264 25251 29681 30552 33668 40736 42528 50502 59362 61104 67336 89043 101004 118724 122208 134672 178086 202008 237448 269344 356172 404016 474896 563939 712344 808032 949792 1127878 1424688 1691817 2255756 2849376 3383634 4511512 6767268 9023024 13534536 18046048 27069072 54138144
- Sum of all divisors σ(n): 152167680
- Sum of proper divisors (its aliquot sum) s(n): 98029536
- 54138144 is an abundant number, because the sum of its proper divisors (98029536) is greater than itself. Its abundance is 43891392
Bases of 54138144
- Binary: 110011101000010101001000002
- Hexadecimal: 0x33A1520
- Base-36: W8D9C
Squares and roots of 54138144
- 54138144 squared (541381442) is 2930938635764736
- 54138144 cubed (541381443) is 158675577918194827689984
-
The
square root of 54138144 is 7357.8627331583 -
The
cube root of 54138144 is 378.2983563095
Scales and comparisons
How big is 54138144?- 54,138,144 seconds is equal to 1 year, 37 weeks, 3 days, 14 hours, 22 minutes, 24 seconds.
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To count from 1 to 54,138,144 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 54138144 cubic inches would be around 31.5 feet tall.
Recreational maths with 54138144
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The information we have on file for 54138144 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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