138465096
138,465,096 is an even composite number composed of six prime numbers multiplied together.
What does the number 138465096 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 128 divisors.
138465096 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 138465096:
23 × 3 × 7 × 11 × 31 × 2417
(2 × 2 × 2 × 3 × 7 × 11 × 31 × 2417)See below for interesting mathematical facts about the number 138465096 from the Numbermatics database.
Names of 138465096
- Cardinal: 138465096 can be written as One hundred thirty-eight million, four hundred sixty-five thousand and ninety-six.
Scientific notation
- Scientific notation: 1.38465096 × 108
Factors of 138465096
Divisors of 138465096
- Number of divisors d(n): 128
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 21 22 24 28 31 33 42 44 56 62 66 77 84 88 93 124 132 154 168 186 217 231 248 264 308 341 372 434 462 616 651 682 744 868 924 1023 1302 1364 1736 1848 2046 2387 2417 2604 2728 4092 4774 4834 5208 7161 7251 8184 9548 9668 14322 14502 16919 19096 19336 26587 28644 29004 33838 50757 53174 57288 58008 67676 74927 79761 101514 106348 135352 149854 159522 186109 203028 212696 224781 299708 319044 372218 406056 449562 524489 558327 599416 638088 744436 824197 899124 1048978 1116654 1488872 1573467 1648394 1798248 2097956 2233308 2472591 3146934 3296788 4195912 4466616 4945182 5769379 6293868 6593576 9890364 11538758 12587736 17308137 19780728 23077516 34616274 46155032 69232548 138465096
- Sum of all divisors σ(n): 445685760
- Sum of proper divisors (its aliquot sum) s(n): 307220664
- 138465096 is an abundant number, because the sum of its proper divisors (307220664) is greater than itself. Its abundance is 168755568
Bases of 138465096
- Binary: 10000100000011001111010010002
- Hexadecimal: 0x840CF48
- Base-36: 2AFSCO
Squares and roots of 138465096
- 138465096 squared (1384650962) is 19172582810289216
- 138465096 cubed (1384650963) is 2654733519394646081204736
-
The
square root of 138465096 is 11767.1192736371 -
The
cube root of 138465096 is 517.3448184617
Scales and comparisons
How big is 138465096?- 138,465,096 seconds is equal to 4 years, 20 weeks, 6 days, 14 hours, 31 minutes, 36 seconds.
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To count from 1 to 138,465,096 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 138465096 cubic inches would be around 43.1 feet tall.
Recreational maths with 138465096
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