138786816
138,786,816 is an even composite number composed of four prime numbers multiplied together.
138786816 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 138786816:
211 × 3 × 72 × 461
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 461)See below for interesting mathematical facts about the number 138786816 from the Numbermatics database.
Names of 138786816
- Cardinal: 138786816 can be written as One hundred thirty-eight million, seven hundred eighty-six thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 1.38786816 × 108
Factors of 138786816
Divisors of 138786816
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 461 512 588 672 768 784 896 922 1024 1176 1344 1383 1536 1568 1792 1844 2048 2352 2688 2766 3072 3136 3227 3584 3688 4704 5376 5532 6144 6272 6454 7168 7376 9408 9681 10752 11064 12544 12908 14336 14752 18816 19362 21504 22128 22589 25088 25816 29504 37632 38724 43008 44256 45178 50176 51632 59008 67767 75264 77448 88512 90356 100352 103264 118016 135534 150528 154896 177024 180712 206528 236032 271068 301056 309792 354048 361424 413056 472064 542136 619584 708096 722848 826112 944128 1084272 1239168 1416192 1445696 1652224 2168544 2478336 2832384 2891392 3304448 4337088 4956672 5782784 6608896 8674176 9913344 11565568 17348352 19826688 23131136 34696704 46262272 69393408 138786816
- Sum of all divisors σ(n): 431350920
- Sum of proper divisors (its aliquot sum) s(n): 292564104
- 138786816 is an abundant number, because the sum of its proper divisors (292564104) is greater than itself. Its abundance is 153777288
Bases of 138786816
- Binary: 10000100010110111000000000002
- Hexadecimal: 0x845B800
- Base-36: 2AMOLC
Squares and roots of 138786816
- 138786816 squared (1387868162) is 19261780295417856
- 138786816 cubed (1387868163) is 2673281157692583623786496
-
The
square root of 138786816 is 11780.7816379049 -
The
cube root of 138786816 is 517.7451875549
Scales and comparisons
How big is 138786816?- 138,786,816 seconds is equal to 4 years, 21 weeks, 3 days, 7 hours, 53 minutes, 36 seconds.
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To count from 1 to 138,786,816 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 138786816 cubic inches would be around 43.1 feet tall.
Recreational maths with 138786816
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