135838144
135,838,144 is an even composite number composed of four prime numbers multiplied together.
135838144 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eighty-four divisors.
Prime factorization of 135838144:
26 × 132 × 19 × 661
(2 × 2 × 2 × 2 × 2 × 2 × 13 × 13 × 19 × 661)See below for interesting mathematical facts about the number 135838144 from the Numbermatics database.
Names of 135838144
- Cardinal: 135838144 can be written as One hundred thirty-five million, eight hundred thirty-eight thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.35838144 × 108
Factors of 135838144
Divisors of 135838144
- Number of divisors d(n): 84
-
Complete list of divisors:
1 2 4 8 13 16 19 26 32 38 52 64 76 104 152 169 208 247 304 338 416 494 608 661 676 832 988 1216 1322 1352 1976 2644 2704 3211 3952 5288 5408 6422 7904 8593 10576 10816 12559 12844 15808 17186 21152 25118 25688 34372 42304 50236 51376 68744 100472 102752 111709 137488 163267 200944 205504 223418 274976 326534 401888 446836 549952 653068 803776 893672 1306136 1787344 2122471 2612272 3574688 4244942 5224544 7149376 8489884 10449088 16979768 33959536 67919072 135838144
- Sum of all divisors σ(n): 307710840
- Sum of proper divisors (its aliquot sum) s(n): 171872696
- 135838144 is an abundant number, because the sum of its proper divisors (171872696) is greater than itself. Its abundance is 36034552
Bases of 135838144
- Binary: 10000001100010111001110000002
- Hexadecimal: 0x818B9C0
- Base-36: 28VHDS
Squares and roots of 135838144
- 135838144 squared (1358381442) is 18452001365364736
- 135838144 cubed (1358381443) is 2506485618556611621289984
-
The
square root of 135838144 is 11654.9622050009 -
The
cube root of 135838144 is 514.0522286403
Scales and comparisons
How big is 135838144?- 135,838,144 seconds is equal to 4 years, 16 weeks, 4 days, 4 hours, 49 minutes, 4 seconds.
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To count from 1 to 135,838,144 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 135838144 cubic inches would be around 42.8 feet tall.
Recreational maths with 135838144
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The information we have on file for 135838144 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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