338742144
338,742,144 is an even composite number composed of four prime numbers multiplied together.
338742144 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 338742144:
27 × 32 × 13 × 22619
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 22619)See below for interesting mathematical facts about the number 338742144 from the Numbermatics database.
Names of 338742144
- Cardinal: 338742144 can be written as Three hundred thirty-eight million, seven hundred forty-two thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 3.38742144 × 108
Factors of 338742144
Divisors of 338742144
- Number of divisors d(n): 96
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 2496 3744 4992 7488 14976 22619 45238 67857 90476 135714 180952 203571 271428 294047 361904 407142 542856 588094 723808 814284 882141 1085712 1176188 1447616 1628568 1764282 2171424 2352376 2646423 2895232 3257136 3528564 4342848 4704752 5292846 6514272 7057128 8685696 9409504 10585692 13028544 14114256 18819008 21171384 26057088 28228512 37638016 42342768 56457024 84685536 112914048 169371072 338742144
- Sum of all divisors σ(n): 1049794200
- Sum of proper divisors (its aliquot sum) s(n): 711052056
- 338742144 is an abundant number, because the sum of its proper divisors (711052056) is greater than itself. Its abundance is 372309912
Bases of 338742144
- Binary: 101000011000011001011100000002
- Hexadecimal: 0x1430CB80
- Base-36: 5LOF40
Squares and roots of 338742144
- 338742144 squared (3387421442) is 114746240121716736
- 338742144 cubed (3387421443) is 38869387394769148113321984
-
The
square root of 338742144 is 18404.9488996845 -
The
cube root of 338742144 is 697.0914306649
Scales and comparisons
How big is 338742144?- 338,742,144 seconds is equal to 10 years, 40 weeks, 15 hours, 2 minutes, 24 seconds.
-
To count from 1 to 338,742,144 would take you about sixteen 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 338742144 cubic inches would be around 58.1 feet tall.
Recreational maths with 338742144
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