138528144
138,528,144 is an even composite number composed of four prime numbers multiplied together.
138528144 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred divisors.
Prime factorization of 138528144:
24 × 34 × 89 × 1201
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 89 × 1201)See below for interesting mathematical facts about the number 138528144 from the Numbermatics database.
Names of 138528144
- Cardinal: 138528144 can be written as One hundred thirty-eight million, five hundred twenty-eight thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.38528144 × 108
Factors of 138528144
Divisors of 138528144
- Number of divisors d(n): 100
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 89 108 144 162 178 216 267 324 356 432 534 648 712 801 1068 1201 1296 1424 1602 2136 2402 2403 3204 3603 4272 4804 4806 6408 7206 7209 9608 9612 10809 12816 14412 14418 19216 19224 21618 28824 28836 32427 38448 43236 57648 57672 64854 86472 97281 106889 115344 129708 172944 194562 213778 259416 320667 389124 427556 518832 641334 778248 855112 962001 1282668 1556496 1710224 1924002 2565336 2886003 3848004 5130672 5772006 7696008 8658009 11544012 15392016 17316018 23088024 34632036 46176048 69264072 138528144
- Sum of all divisors σ(n): 405783180
- Sum of proper divisors (its aliquot sum) s(n): 267255036
- 138528144 is an abundant number, because the sum of its proper divisors (267255036) is greater than itself. Its abundance is 128726892
Bases of 138528144
- Binary: 10000100000111000101100100002
- Hexadecimal: 0x841C590
- Base-36: 2AH500
Squares and roots of 138528144
- 138528144 squared (1385281442) is 19190046680084736
- 138528144 cubed (1385281443) is 2658361549865500240809984
-
The
square root of 138528144 is 11769.7979591835 -
The
cube root of 138528144 is 517.4233282755
Scales and comparisons
How big is 138528144?- 138,528,144 seconds is equal to 4 years, 21 weeks, 8 hours, 2 minutes, 24 seconds.
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To count from 1 to 138,528,144 would take you about six 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 138528144 cubic inches would be around 43.1 feet tall.
Recreational maths with 138528144
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The information we have on file for 138528144 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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