480150090
480,150,090 is an even composite number composed of six prime numbers multiplied together.
What does the number 480150090 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 96 divisors.
480150090 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 480150090:
2 × 32 × 5 × 7 × 233 × 3271
(2 × 3 × 3 × 5 × 7 × 233 × 3271)See below for interesting mathematical facts about the number 480150090 from the Numbermatics database.
Names of 480150090
- Cardinal: 480150090 can be written as Four hundred eighty million, one hundred fifty thousand and ninety.
Scientific notation
- Scientific notation: 4.8015009 × 108
Factors of 480150090
Divisors of 480150090
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 233 315 466 630 699 1165 1398 1631 2097 2330 3262 3271 3495 4194 4893 6542 6990 8155 9786 9813 10485 14679 16310 16355 19626 20970 22897 24465 29358 29439 32710 45794 48930 49065 58878 68691 73395 98130 114485 137382 146790 147195 206073 228970 294390 343455 412146 686910 762143 1030365 1524286 2060730 2286429 3810715 4572858 5335001 6859287 7621430 10670002 11432145 13718574 16005003 22864290 26675005 32010006 34296435 48015009 53350010 68592870 80025015 96030018 160050030 240075045 480150090
- Sum of all divisors σ(n): 1433293056
- Sum of proper divisors (its aliquot sum) s(n): 953142966
- 480150090 is an abundant number, because the sum of its proper divisors (953142966) is greater than itself. Its abundance is 472992876
Bases of 480150090
- Binary: 111001001111010000010010010102
- Hexadecimal: 0x1C9E824A
- Base-36: 7XVA6I
Squares and roots of 480150090
- 480150090 squared (4801500902) is 230544108927008100
- 480150090 cubed (4801500903) is 110695774650272742645729000
-
The
square root of 480150090 is 21912.3273524289 -
The
cube root of 480150090 is 783.0551284077
Scales and comparisons
How big is 480150090?- 480,150,090 seconds is equal to 15 years, 13 weeks, 6 days, 7 hours, 1 minute, 30 seconds.
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To count from 1 to 480,150,090 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 480150090 cubic inches would be around 65.3 feet tall.
Recreational maths with 480150090
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