138920496
138,920,496 is an even composite number composed of six prime numbers multiplied together.
138920496 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred sixty divisors.
Prime factorization of 138920496:
24 × 3 × 11 × 13 × 37 × 547
(2 × 2 × 2 × 2 × 3 × 11 × 13 × 37 × 547)See below for interesting mathematical facts about the number 138920496 from the Numbermatics database.
Names of 138920496
- Cardinal: 138920496 can be written as One hundred thirty-eight million, nine hundred twenty thousand, four hundred ninety-six.
Scientific notation
- Scientific notation: 1.38920496 × 108
Factors of 138920496
Divisors of 138920496
- Number of divisors d(n): 160
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Complete list of divisors:
1 2 3 4 6 8 11 12 13 16 22 24 26 33 37 39 44 48 52 66 74 78 88 104 111 132 143 148 156 176 208 222 264 286 296 312 407 429 444 481 528 547 572 592 624 814 858 888 962 1094 1144 1221 1443 1628 1641 1716 1776 1924 2188 2288 2442 2886 3256 3282 3432 3848 4376 4884 5291 5772 6017 6512 6564 6864 7111 7696 8752 9768 10582 11544 12034 13128 14222 15873 18051 19536 20239 21164 21333 23088 24068 26256 28444 31746 36102 40478 42328 42666 48136 56888 60717 63492 72204 78221 80956 84656 85332 96272 113776 121434 126984 144408 156442 161912 170664 222629 234663 242868 253968 263107 288816 312884 323824 341328 445258 469326 485736 526214 625768 667887 789321 890516 938652 971472 1052428 1251536 1335774 1578642 1781032 1877304 2104856 2671548 2894177 3157284 3562064 3754608 4209712 5343096 5788354 6314568 8682531 10686192 11576708 12629136 17365062 23153416 34730124 46306832 69460248 138920496
- Sum of all divisors σ(n): 433805568
- Sum of proper divisors (its aliquot sum) s(n): 294885072
- 138920496 is an abundant number, because the sum of its proper divisors (294885072) is greater than itself. Its abundance is 155964576
Bases of 138920496
- Binary: 10000100011111000010001100002
- Hexadecimal: 0x847C230
- Base-36: 2APJQO
Squares and roots of 138920496
- 138920496 squared (1389204962) is 19298904208886016
- 138920496 cubed (1389204963) is 2681013344954932950183936
-
The
square root of 138920496 is 11786.4539196487 -
The
cube root of 138920496 is 517.9113656033
Scales and comparisons
How big is 138920496?- 138,920,496 seconds is equal to 4 years, 21 weeks, 4 days, 21 hours, 1 minute, 36 seconds.
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To count from 1 to 138,920,496 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 138920496 cubic inches would be around 43.2 feet tall.
Recreational maths with 138920496
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