138400992
138,400,992 is an even composite number composed of five prime numbers multiplied together.
138400992 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 138400992:
25 × 32 × 29 × 73 × 227
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 29 × 73 × 227)See below for interesting mathematical facts about the number 138400992 from the Numbermatics database.
Names of 138400992
- Cardinal: 138400992 can be written as One hundred thirty-eight million, four hundred thousand, nine hundred ninety-two.
Scientific notation
- Scientific notation: 1.38400992 × 108
Factors of 138400992
Divisors of 138400992
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 73 87 96 116 144 146 174 219 227 232 261 288 292 348 438 454 464 522 584 657 681 696 876 908 928 1044 1168 1314 1362 1392 1752 1816 2043 2088 2117 2336 2628 2724 2784 3504 3632 4086 4176 4234 5256 5448 6351 6583 7008 7264 8172 8352 8468 10512 10896 12702 13166 16344 16571 16936 19053 19749 21024 21792 25404 26332 32688 33142 33872 38106 39498 49713 50808 52664 59247 65376 66284 67744 76212 78996 99426 101616 105328 118494 132568 149139 152424 157992 198852 203232 210656 236988 265136 298278 304848 315984 397704 473976 480559 530272 596556 609696 631968 795408 947952 961118 1193112 1441677 1590816 1895904 1922236 2386224 2883354 3844472 4325031 4772448 5766708 7688944 8650062 11533416 15377888 17300124 23066832 34600248 46133664 69200496 138400992
- Sum of all divisors σ(n): 414545040
- Sum of proper divisors (its aliquot sum) s(n): 276144048
- 138400992 is an abundant number, because the sum of its proper divisors (276144048) is greater than itself. Its abundance is 137743056
Bases of 138400992
- Binary: 10000011111111010100111000002
- Hexadecimal: 0x83FD4E0
- Base-36: 2AEEW0
Squares and roots of 138400992
- 138400992 squared (1384009922) is 19154834586584064
- 138400992 cubed (1384009923) is 2651048108379144348991488
-
The
square root of 138400992 is 11764.3950970717 -
The
cube root of 138400992 is 517.2649692377
Scales and comparisons
How big is 138400992?- 138,400,992 seconds is equal to 4 years, 20 weeks, 5 days, 20 hours, 43 minutes, 12 seconds.
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To count from 1 to 138,400,992 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 138400992 cubic inches would be around 43.1 feet tall.
Recreational maths with 138400992
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