90315225
90,315,225 is an odd composite number composed of six prime numbers multiplied together.
90315225 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 90315225:
32 × 52 × 7 × 11 × 13 × 401
(3 × 3 × 5 × 5 × 7 × 11 × 13 × 401)See below for interesting mathematical facts about the number 90315225 from the Numbermatics database.
Names of 90315225
- Cardinal: 90315225 can be written as Ninety million, three hundred fifteen thousand, two hundred twenty-five.
Scientific notation
- Scientific notation: 9.0315225 × 107
Factors of 90315225
Divisors of 90315225
- Number of divisors d(n): 144
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Complete list of divisors:
1 3 5 7 9 11 13 15 21 25 33 35 39 45 55 63 65 75 77 91 99 105 117 143 165 175 195 225 231 273 275 315 325 385 401 429 455 495 525 585 693 715 819 825 975 1001 1155 1203 1287 1365 1575 1925 2005 2145 2275 2475 2807 2925 3003 3465 3575 3609 4095 4411 5005 5213 5775 6015 6435 6825 8421 9009 10025 10725 13233 14035 15015 15639 17325 18045 20475 22055 25025 25263 26065 30075 30877 32175 36491 39699 42105 45045 46917 57343 66165 70175 75075 78195 90225 92631 109473 110275 126315 130325 154385 172029 182455 198495 210525 225225 234585 277893 286715 328419 330825 390975 401401 463155 516087 547365 631575 771925 860145 912275 992475 1172925 1204203 1389465 1433575 1642095 2007005 2315775 2580435 2736825 3612609 4300725 6021015 6947325 8210475 10035025 12902175 18063045 30105075 90315225
- Sum of all divisors σ(n): 217736064
- Sum of proper divisors (its aliquot sum) s(n): 127420839
- 90315225 is an abundant number, because the sum of its proper divisors (127420839) is greater than itself. Its abundance is 37105614
Bases of 90315225
- Binary: 1010110001000011001110110012
- Hexadecimal: 0x56219D9
- Base-36: 1HRRO9
Squares and roots of 90315225
- 90315225 squared (903152252) is 8156839866800625
- 90315225 cubed (903152253) is 736686827859068477015625
-
The
square root of 90315225 is 9503.4322747101 -
The
cube root of 90315225 is 448.6630690051
Scales and comparisons
How big is 90315225?- 90,315,225 seconds is equal to 2 years, 45 weeks, 2 days, 7 hours, 33 minutes, 45 seconds.
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To count from 1 to 90,315,225 would take you about four 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 90315225 cubic inches would be around 37.4 feet tall.
Recreational maths with 90315225
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