138210816
138,210,816 is an even composite number composed of five prime numbers multiplied together.
138210816 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty divisors.
Prime factorization of 138210816:
29 × 3 × 17 × 67 × 79
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 17 × 67 × 79)See below for interesting mathematical facts about the number 138210816 from the Numbermatics database.
Names of 138210816
- Cardinal: 138210816 can be written as One hundred thirty-eight million, two hundred ten thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 1.38210816 × 108
Factors of 138210816
Divisors of 138210816
- Number of divisors d(n): 160
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Complete list of divisors:
1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 67 68 79 96 102 128 134 136 158 192 201 204 237 256 268 272 316 384 402 408 474 512 536 544 632 768 804 816 948 1072 1088 1139 1264 1343 1536 1608 1632 1896 2144 2176 2278 2528 2686 3216 3264 3417 3792 4029 4288 4352 4556 5056 5293 5372 6432 6528 6834 7584 8058 8576 8704 9112 10112 10586 10744 12864 13056 13668 15168 15879 16116 17152 18224 20224 21172 21488 25728 26112 27336 30336 31758 32232 34304 36448 40448 42344 42976 51456 54672 60672 63516 64464 72896 84688 85952 89981 102912 109344 121344 127032 128928 145792 169376 171904 179962 218688 254064 257856 269943 291584 338752 343808 359924 437376 508128 515712 539886 583168 677504 687616 719848 874752 1016256 1031424 1079772 1355008 1439696 1749504 2032512 2062848 2159544 2710016 2879392 4065024 4319088 5758784 8130048 8638176 11517568 17276352 23035136 34552704 46070272 69105408 138210816
- Sum of all divisors σ(n): 400688640
- Sum of proper divisors (its aliquot sum) s(n): 262477824
- 138210816 is an abundant number, because the sum of its proper divisors (262477824) is greater than itself. Its abundance is 124267008
Bases of 138210816
- Binary: 10000011110011101110000000002
- Hexadecimal: 0x83CEE00
- Base-36: 2AAC5C
Squares and roots of 138210816
- 138210816 squared (1382108162) is 19102229659385856
- 138210816 cubed (1382108163) is 2640134748643121216618496
-
The
square root of 138210816 is 11756.3096250483 -
The
cube root of 138210816 is 517.0279370387
Scales and comparisons
How big is 138210816?- 138,210,816 seconds is equal to 4 years, 20 weeks, 3 days, 15 hours, 53 minutes, 36 seconds.
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To count from 1 to 138,210,816 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 138210816 cubic inches would be around 43.1 feet tall.
Recreational maths with 138210816
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