493146225
493,146,225 is an odd composite number composed of five prime numbers multiplied together.
493146225 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred eighty divisors.
Prime factorization of 493146225:
34 × 52 × 11 × 132 × 131
(3 × 3 × 3 × 3 × 5 × 5 × 11 × 13 × 13 × 131)See below for interesting mathematical facts about the number 493146225 from the Numbermatics database.
Names of 493146225
- Cardinal: 493146225 can be written as Four hundred ninety-three million, one hundred forty-six thousand, two hundred twenty-five.
Scientific notation
- Scientific notation: 4.93146225 × 108
Factors of 493146225
Divisors of 493146225
- Number of divisors d(n): 180
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Complete list of divisors:
1 3 5 9 11 13 15 25 27 33 39 45 55 65 75 81 99 117 131 135 143 165 169 195 225 275 297 325 351 393 405 429 495 507 585 655 675 715 825 845 891 975 1053 1179 1287 1441 1485 1521 1703 1755 1859 1965 2025 2145 2475 2535 2925 3275 3537 3575 3861 4225 4323 4455 4563 5109 5265 5577 5895 6435 7205 7425 7605 8515 8775 9295 9825 10611 10725 11583 12675 12969 13689 15327 16731 17685 18733 19305 21615 22139 22275 22815 25545 26325 27885 29475 32175 36025 38025 38907 42575 45981 46475 50193 53055 56199 57915 64845 66417 68445 76635 83655 88425 93665 96525 108075 110695 114075 116721 127725 137943 139425 150579 168597 194535 199251 229905 243529 250965 265275 280995 289575 324225 332085 342225 383175 418275 468325 505791 553475 583605 597753 689715 730587 752895 842985 972675 996255 1149525 1217645 1254825 1404975 1517373 1660425 1793259 2191761 2528955 2918025 2988765 3448575 3652935 3764475 4214925 4981275 6088225 6575283 7586865 8966295 10958805 12644775 14943825 18264675 19725849 32876415 37934325 44831475 54794025 98629245 164382075 493146225
- Sum of all divisors σ(n): 1087309872
- Sum of proper divisors (its aliquot sum) s(n): 594163647
- 493146225 is an abundant number, because the sum of its proper divisors (594163647) is greater than itself. Its abundance is 101017422
Bases of 493146225
- Binary: 111010110010011010000011100012
- Hexadecimal: 0x1D64D071
- Base-36: 85LU29
Squares and roots of 493146225
- 493146225 squared (4931462252) is 243193199231750625
- 493146225 cubed (4931462253) is 119929808146810720860140625
-
The
square root of 493146225 is 22206.8958884397 -
The
cube root of 493146225 is 790.0572649831
Scales and comparisons
How big is 493146225?- 493,146,225 seconds is equal to 15 years, 35 weeks, 2 days, 17 hours, 3 minutes, 45 seconds.
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To count from 1 to 493,146,225 would take you about twenty-three 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 493146225 cubic inches would be around 65.8 feet tall.
Recreational maths with 493146225
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