138915168
138,915,168 is an even composite number composed of five prime numbers multiplied together.
138915168 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 138915168:
25 × 3 × 7 × 372 × 151
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 37 × 37 × 151)See below for interesting mathematical facts about the number 138915168 from the Numbermatics database.
Names of 138915168
- Cardinal: 138915168 can be written as One hundred thirty-eight million, nine hundred fifteen thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 1.38915168 × 108
Factors of 138915168
Divisors of 138915168
- 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 37 42 48 56 74 84 96 111 112 148 151 168 222 224 259 296 302 336 444 453 518 592 604 672 777 888 906 1036 1057 1184 1208 1369 1554 1776 1812 2072 2114 2416 2738 3108 3171 3552 3624 4107 4144 4228 4832 5476 5587 6216 6342 7248 8214 8288 8456 9583 10952 11174 12432 12684 14496 16428 16761 16912 19166 21904 22348 24864 25368 28749 32856 33522 33824 38332 39109 43808 44696 50736 57498 65712 67044 76664 78218 89392 101472 114996 117327 131424 134088 153328 156436 178784 206719 229992 234654 268176 306656 312872 413438 459984 469308 536352 620157 625744 826876 919968 938616 1240314 1251488 1447033 1653752 1877232 2480628 2894066 3307504 3754464 4341099 4961256 5788132 6615008 8682198 9922512 11576264 17364396 19845024 23152528 34728792 46305056 69457584 138915168
- Sum of all divisors σ(n): 431149824
- Sum of proper divisors (its aliquot sum) s(n): 292234656
- 138915168 is an abundant number, because the sum of its proper divisors (292234656) is greater than itself. Its abundance is 153319488
Bases of 138915168
- Binary: 10000100011110101101011000002
- Hexadecimal: 0x847AD60
- Base-36: 2APFMO
Squares and roots of 138915168
- 138915168 squared (1389151682) is 19297423900468224
- 138915168 cubed (1389151683) is 2680704883100758615621632
-
The
square root of 138915168 is 11786.2278953023 -
The
cube root of 138915168 is 517.9047443891
Scales and comparisons
How big is 138915168?- 138,915,168 seconds is equal to 4 years, 21 weeks, 4 days, 19 hours, 32 minutes, 48 seconds.
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To count from 1 to 138,915,168 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 138915168 cubic inches would be around 43.2 feet tall.
Recreational maths with 138915168
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