468137216
468,137,216 is an even composite number composed of three prime numbers multiplied together.
468137216 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of seventy-two divisors.
Prime factorization of 468137216:
28 × 23 × 433
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 23 × 43 × 43 × 43)See below for interesting mathematical facts about the number 468137216 from the Numbermatics database.
Names of 468137216
- Cardinal: 468137216 can be written as Four hundred sixty-eight million, one hundred thirty-seven thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 4.68137216 × 108
Factors of 468137216
Divisors of 468137216
- Number of divisors d(n): 72
-
Complete list of divisors:
1 2 4 8 16 23 32 43 46 64 86 92 128 172 184 256 344 368 688 736 989 1376 1472 1849 1978 2752 2944 3698 3956 5504 5888 7396 7912 11008 14792 15824 29584 31648 42527 59168 63296 79507 85054 118336 126592 159014 170108 236672 253184 318028 340216 473344 636056 680432 1272112 1360864 1828661 2544224 2721728 3657322 5088448 5443456 7314644 10176896 10886912 14629288 20353792 29258576 58517152 117034304 234068608 468137216
- Sum of all divisors σ(n): 998289600
- Sum of proper divisors (its aliquot sum) s(n): 530152384
- 468137216 is an abundant number, because the sum of its proper divisors (530152384) is greater than itself. Its abundance is 62015168
Bases of 468137216
- Binary: 110111110011100110101000000002
- Hexadecimal: 0x1BE73500
- Base-36: 7QPSZK
Squares and roots of 468137216
- 468137216 squared (4681372162) is 219152453004230656
- 468137216 cubed (4681372163) is 102593419228971375521693696
-
The
square root of 468137216 is 21636.4788262785 -
The
cube root of 468137216 is 776.4694789015
Scales and comparisons
How big is 468137216?- 468,137,216 seconds is equal to 14 years, 46 weeks, 6 hours, 6 minutes, 56 seconds.
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To count from 1 to 468,137,216 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 468137216 cubic inches would be around 64.7 feet tall.
Recreational maths with 468137216
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