135123968
135,123,968 is an even composite number composed of three prime numbers multiplied together.
135123968 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixty-six divisors.
Prime factorization of 135123968:
210 × 72 × 2693
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 2693)See below for interesting mathematical facts about the number 135123968 from the Numbermatics database.
Names of 135123968
- Cardinal: 135123968 can be written as One hundred thirty-five million, one hundred twenty-three thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.35123968 × 108
Factors of 135123968
Divisors of 135123968
- Number of divisors d(n): 66
-
Complete list of divisors:
1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1568 1792 2693 3136 3584 5386 6272 7168 10772 12544 18851 21544 25088 37702 43088 50176 75404 86176 131957 150808 172352 263914 301616 344704 527828 603232 689408 1055656 1206464 1378816 2111312 2412928 2757632 4222624 4825856 8445248 9651712 16890496 19303424 33780992 67561984 135123968
- Sum of all divisors σ(n): 314333226
- Sum of proper divisors (its aliquot sum) s(n): 179209258
- 135123968 is an abundant number, because the sum of its proper divisors (179209258) is greater than itself. Its abundance is 44085290
Bases of 135123968
- Binary: 10000000110111010100000000002
- Hexadecimal: 0x80DD400
- Base-36: 28G6BK
Squares and roots of 135123968
- 135123968 squared (1351239682) is 18258486728065024
- 135123968 cubed (1351239683) is 2467159176371483004895232
-
The
square root of 135123968 is 11624.2835478147 -
The
cube root of 135123968 is 513.1497598881
Scales and comparisons
How big is 135123968?- 135,123,968 seconds is equal to 4 years, 15 weeks, 2 days, 22 hours, 26 minutes, 8 seconds.
-
To count from 1 to 135,123,968 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 135123968 cubic inches would be around 42.8 feet tall.
Recreational maths with 135123968
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The information we have on file for 135123968 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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