138385440
138,385,440 is an even composite number composed of five prime numbers multiplied together.
138385440 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 138385440:
25 × 32 × 5 × 17 × 5653
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 17 × 5653)See below for interesting mathematical facts about the number 138385440 from the Numbermatics database.
Names of 138385440
- Cardinal: 138385440 can be written as One hundred thirty-eight million, three hundred eighty-five thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.3838544 × 108
Factors of 138385440
Divisors of 138385440
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 32 34 36 40 45 48 51 60 68 72 80 85 90 96 102 120 136 144 153 160 170 180 204 240 255 272 288 306 340 360 408 480 510 544 612 680 720 765 816 1020 1224 1360 1440 1530 1632 2040 2448 2720 3060 4080 4896 5653 6120 8160 11306 12240 16959 22612 24480 28265 33918 45224 50877 56530 67836 84795 90448 96101 101754 113060 135672 169590 180896 192202 203508 226120 254385 271344 288303 339180 384404 407016 452240 480505 508770 542688 576606 678360 768808 814032 864909 904480 961010 1017540 1153212 1356720 1441515 1537616 1628064 1729818 1922020 2035080 2306424 2713440 2883030 3075232 3459636 3844040 4070160 4324545 4612848 5766060 6919272 7688080 8140320 8649090 9225696 11532120 13838544 15376160 17298180 23064240 27677088 34596360 46128480 69192720 138385440
- Sum of all divisors σ(n): 500107608
- Sum of proper divisors (its aliquot sum) s(n): 361722168
- 138385440 is an abundant number, because the sum of its proper divisors (361722168) is greater than itself. Its abundance is 223336728
Bases of 138385440
- Binary: 10000011111110011000001000002
- Hexadecimal: 0x83F9820
- Base-36: 2AE2W0
Squares and roots of 138385440
- 138385440 squared (1383854402) is 19150530003993600
- 138385440 cubed (1383854403) is 2650154520835856093184000
-
The
square root of 138385440 is 11763.7341010413 -
The
cube root of 138385440 is 517.2455936393
Scales and comparisons
How big is 138385440?- 138,385,440 seconds is equal to 4 years, 20 weeks, 5 days, 16 hours, 24 minutes.
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To count from 1 to 138,385,440 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 138385440 cubic inches would be around 43.1 feet tall.
Recreational maths with 138385440
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The information we have on file for 138385440 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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