468427968
468,427,968 is an even composite number composed of four prime numbers multiplied together.
468427968 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred twelve divisors.
Prime factorization of 468427968:
26 × 33 × 307 × 883
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 307 × 883)See below for interesting mathematical facts about the number 468427968 from the Numbermatics database.
Names of 468427968
- Cardinal: 468427968 can be written as Four hundred sixty-eight million, four hundred twenty-seven thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 4.68427968 × 108
Factors of 468427968
Divisors of 468427968
- Number of divisors d(n): 112
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 307 432 576 614 864 883 921 1228 1728 1766 1842 2456 2649 2763 3532 3684 4912 5298 5526 7064 7368 7947 8289 9824 10596 11052 14128 14736 15894 16578 19648 21192 22104 23841 28256 29472 31788 33156 42384 44208 47682 56512 58944 63576 66312 84768 88416 95364 127152 132624 169536 176832 190728 254304 265248 271081 381456 508608 530496 542162 762912 813243 1084324 1525824 1626486 2168648 2439729 3252972 4337296 4879458 6505944 7319187 8674592 9758916 13011888 14638374 17349184 19517832 26023776 29276748 39035664 52047552 58553496 78071328 117106992 156142656 234213984 468427968
- Sum of all divisors σ(n): 1383141760
- Sum of proper divisors (its aliquot sum) s(n): 914713792
- 468427968 is an abundant number, because the sum of its proper divisors (914713792) is greater than itself. Its abundance is 446285824
Bases of 468427968
- Binary: 110111110101110100100110000002
- Hexadecimal: 0x1BEBA4C0
- Base-36: 7QW1C0
Squares and roots of 468427968
- 468427968 squared (4684279682) is 219424761204609024
- 468427968 cubed (4684279683) is 102784695019960237346783232
-
The
square root of 468427968 is 21643.1968063869 -
The
cube root of 468427968 is 776.6301962609
Scales and comparisons
How big is 468427968?- 468,427,968 seconds is equal to 14 years, 46 weeks, 3 days, 14 hours, 52 minutes, 48 seconds.
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To count from 1 to 468,427,968 would take you about twenty-two 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 468427968 cubic inches would be around 64.7 feet tall.
Recreational maths with 468427968
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