468428040
468,428,040 is an even composite number composed of five prime numbers multiplied together.
468428040 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 468428040:
23 × 32 × 5 × 431 × 3019
(2 × 2 × 2 × 3 × 3 × 5 × 431 × 3019)See below for interesting mathematical facts about the number 468428040 from the Numbermatics database.
Names of 468428040
- Cardinal: 468428040 can be written as Four hundred sixty-eight million, four hundred twenty-eight thousand and forty.
Scientific notation
- Scientific notation: 4.6842804 × 108
Factors of 468428040
Divisors of 468428040
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 431 862 1293 1724 2155 2586 3019 3448 3879 4310 5172 6038 6465 7758 8620 9057 10344 12076 12930 15095 15516 17240 18114 19395 24152 25860 27171 30190 31032 36228 38790 45285 51720 54342 60380 72456 77580 90570 108684 120760 135855 155160 181140 217368 271710 362280 543420 1086840 1301189 2602378 3903567 5204756 6505945 7807134 10409512 11710701 13011890 15614268 19517835 23421402 26023780 31228536 39035670 46842804 52047560 58553505 78071340 93685608 117107010 156142680 234214020 468428040
- Sum of all divisors σ(n): 1526428800
- Sum of proper divisors (its aliquot sum) s(n): 1058000760
- 468428040 is an abundant number, because the sum of its proper divisors (1058000760) is greater than itself. Its abundance is 589572720
Bases of 468428040
- Binary: 110111110101110100101000010002
- Hexadecimal: 0x1BEBA508
- Base-36: 7QW1E0
Squares and roots of 468428040
- 468428040 squared (4684280402) is 219424828658241600
- 468428040 cubed (4684280403) is 102784742415715942534464000
-
The
square root of 468428040 is 21643.1984697271 -
The
cube root of 468428040 is 776.6302360515
Scales and comparisons
How big is 468428040?- 468,428,040 seconds is equal to 14 years, 46 weeks, 3 days, 14 hours, 54 minutes.
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To count from 1 to 468,428,040 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 468428040 cubic inches would be around 64.7 feet tall.
Recreational maths with 468428040
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