342144768
342,144,768 is an even composite number composed of five prime numbers multiplied together.
342144768 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 342144768:
28 × 3 × 7 × 31 × 2053
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 31 × 2053)See below for interesting mathematical facts about the number 342144768 from the Numbermatics database.
Names of 342144768
- Cardinal: 342144768 can be written as Three hundred forty-two million, one hundred forty-four thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 3.42144768 × 108
Factors of 342144768
Divisors of 342144768
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 256 336 372 384 434 448 496 651 672 744 768 868 896 992 1302 1344 1488 1736 1792 1984 2053 2604 2688 2976 3472 3968 4106 5208 5376 5952 6159 6944 7936 8212 10416 11904 12318 13888 14371 16424 20832 23808 24636 27776 28742 32848 41664 43113 49272 55552 57484 63643 65696 83328 86226 98544 114968 127286 131392 166656 172452 190929 197088 229936 254572 262784 344904 381858 394176 445501 459872 509144 525568 689808 763716 788352 891002 919744 1018288 1336503 1379616 1527432 1576704 1782004 1839488 2036576 2673006 2759232 3054864 3564008 3678976 4073152 5346012 5518464 6109728 7128016 8146304 10692024 11036928 12219456 14256032 16292608 21384048 24438912 28512064 42768096 48877824 57024128 85536192 114048256 171072384 342144768
- Sum of all divisors σ(n): 1074784256
- Sum of proper divisors (its aliquot sum) s(n): 732639488
- 342144768 is an abundant number, because the sum of its proper divisors (732639488) is greater than itself. Its abundance is 390494720
Bases of 342144768
- Binary: 101000110010010110111000000002
- Hexadecimal: 0x1464B700
- Base-36: 5NPCLC
Squares and roots of 342144768
- 342144768 squared (3421447682) is 117063042269773824
- 342144768 cubed (3421447683) is 40052507438765958424952832
-
The
square root of 342144768 is 18497.1556732379 -
The
cube root of 342144768 is 699.4177253097
Scales and comparisons
How big is 342144768?- 342,144,768 seconds is equal to 10 years, 45 weeks, 5 days, 12 minutes, 48 seconds.
-
To count from 1 to 342,144,768 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 342144768 cubic inches would be around 58.3 feet tall.
Recreational maths with 342144768
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