138106496
138,106,496 is an even composite number composed of four prime numbers multiplied together.
138106496 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 138106496:
27 × 112 × 37 × 241
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 11 × 11 × 37 × 241)See below for interesting mathematical facts about the number 138106496 from the Numbermatics database.
Names of 138106496
- Cardinal: 138106496 can be written as One hundred thirty-eight million, one hundred six thousand, four hundred ninety-six.
Scientific notation
- Scientific notation: 1.38106496 × 108
Factors of 138106496
Divisors of 138106496
- Number of divisors d(n): 96
-
Complete list of divisors:
1 2 4 8 11 16 22 32 37 44 64 74 88 121 128 148 176 241 242 296 352 407 482 484 592 704 814 964 968 1184 1408 1628 1928 1936 2368 2651 3256 3856 3872 4477 4736 5302 6512 7712 7744 8917 8954 10604 13024 15424 15488 17834 17908 21208 26048 29161 30848 35668 35816 42416 52096 58322 71336 71632 84832 98087 116644 142672 143264 169664 196174 233288 285344 286528 339328 392348 466576 570688 573056 784696 933152 1078957 1141376 1569392 1866304 2157914 3138784 3732608 4315828 6277568 8631656 12555136 17263312 34526624 69053248 138106496
- Sum of all divisors σ(n): 311882340
- Sum of proper divisors (its aliquot sum) s(n): 173775844
- 138106496 is an abundant number, because the sum of its proper divisors (173775844) is greater than itself. Its abundance is 35669348
Bases of 138106496
- Binary: 10000011101101010110100000002
- Hexadecimal: 0x83B5680
- Base-36: 2A83NK
Squares and roots of 138106496
- 138106496 squared (1381064962) is 19073404237398016
- 138106496 cubed (1381064963) is 2634161026018592147111936
-
The
square root of 138106496 is 11751.8720210869 -
The
cube root of 138106496 is 516.8978219679
Scales and comparisons
How big is 138106496?- 138,106,496 seconds is equal to 4 years, 20 weeks, 2 days, 10 hours, 54 minutes, 56 seconds.
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To count from 1 to 138,106,496 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 138106496 cubic inches would be around 43.1 feet tall.
Recreational maths with 138106496
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