138831264
138,831,264 is an even composite number composed of five prime numbers multiplied together.
138831264 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 138831264:
25 × 32 × 11 × 13 × 3371
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 13 × 3371)See below for interesting mathematical facts about the number 138831264 from the Numbermatics database.
Names of 138831264
- Cardinal: 138831264 can be written as One hundred thirty-eight million, eight hundred thirty-one thousand, two hundred sixty-four.
Scientific notation
- Scientific notation: 1.38831264 × 108
Factors of 138831264
Divisors of 138831264
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 39 44 48 52 66 72 78 88 96 99 104 117 132 143 144 156 176 198 208 234 264 286 288 312 352 396 416 429 468 528 572 624 792 858 936 1056 1144 1248 1287 1584 1716 1872 2288 2574 3168 3371 3432 3744 4576 5148 6742 6864 10113 10296 13484 13728 20226 20592 26968 30339 37081 40452 41184 43823 53936 60678 74162 80904 87646 107872 111243 121356 131469 148324 161808 175292 222486 242712 262938 296648 323616 333729 350584 394407 444972 482053 485424 525876 593296 667458 701168 788814 889944 964106 970848 1051752 1186592 1334916 1402336 1446159 1577628 1779888 1928212 2103504 2669832 2892318 3155256 3559776 3856424 4207008 4338477 5339664 5784636 6310512 7712848 8676954 10679328 11569272 12621024 15425696 17353908 23138544 34707816 46277088 69415632 138831264
- Sum of all divisors σ(n): 463960224
- Sum of proper divisors (its aliquot sum) s(n): 325128960
- 138831264 is an abundant number, because the sum of its proper divisors (325128960) is greater than itself. Its abundance is 186297696
Bases of 138831264
- Binary: 10000100011001100101101000002
- Hexadecimal: 0x84665A0
- Base-36: 2ANMW0
Squares and roots of 138831264
- 138831264 squared (1388312642) is 19274119863837696
- 138831264 cubed (1388312643) is 2675850423184095226527744
-
The
square root of 138831264 is 11782.6679491531 -
The
cube root of 138831264 is 517.8004528471
Scales and comparisons
How big is 138831264?- 138,831,264 seconds is equal to 4 years, 21 weeks, 3 days, 20 hours, 14 minutes, 24 seconds.
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To count from 1 to 138,831,264 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 138831264 cubic inches would be around 43.2 feet tall.
Recreational maths with 138831264
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