468978150
468,978,150 is an even composite number composed of six prime numbers multiplied together.
468978150 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 468978150:
2 × 3 × 52 × 17 × 353 × 521
(2 × 3 × 5 × 5 × 17 × 353 × 521)See below for interesting mathematical facts about the number 468978150 from the Numbermatics database.
Names of 468978150
- Cardinal: 468978150 can be written as Four hundred sixty-eight million, nine hundred seventy-eight thousand, one hundred fifty.
Scientific notation
- Scientific notation: 4.6897815 × 108
Factors of 468978150
Divisors of 468978150
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 3 5 6 10 15 17 25 30 34 50 51 75 85 102 150 170 255 353 425 510 521 706 850 1042 1059 1275 1563 1765 2118 2550 2605 3126 3530 5210 5295 6001 7815 8825 8857 10590 12002 13025 15630 17650 17714 18003 26050 26475 26571 30005 36006 39075 44285 52950 53142 60010 78150 88570 90015 132855 150025 180030 183913 221425 265710 300050 367826 442850 450075 551739 664275 900150 919565 1103478 1328550 1839130 2758695 3126521 4597825 5517390 6253042 9195650 9379563 13793475 15632605 18759126 27586950 31265210 46897815 78163025 93795630 156326050 234489075 468978150
- Sum of all divisors σ(n): 1237340448
- Sum of proper divisors (its aliquot sum) s(n): 768362298
- 468978150 is an abundant number, because the sum of its proper divisors (768362298) is greater than itself. Its abundance is 299384148
Bases of 468978150
- Binary: 110111111010000001001111001102
- Hexadecimal: 0x1BF409E6
- Base-36: 7R7TUU
Squares and roots of 468978150
- 468978150 squared (4689781502) is 219940505177422500
- 468978150 cubed (4689781503) is 103147291228173025818375000
-
The
square root of 468978150 is 21655.9033522039 -
The
cube root of 468978150 is 776.9341353975
Scales and comparisons
How big is 468978150?- 468,978,150 seconds is equal to 14 years, 47 weeks, 2 days, 23 hours, 42 minutes, 30 seconds.
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To count from 1 to 468,978,150 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 468978150 cubic inches would be around 64.7 feet tall.
Recreational maths with 468978150
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