993248001
993,248,001 is an odd composite number composed of five prime numbers multiplied together.
993248001 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eighty divisors.
Prime factorization of 993248001:
34 × 17 × 41 × 73 × 241
(3 × 3 × 3 × 3 × 17 × 41 × 73 × 241)See below for interesting mathematical facts about the number 993248001 from the Numbermatics database.
Names of 993248001
- Cardinal: 993248001 can be written as Nine hundred ninety-three million, two hundred forty-eight thousand and one.
Scientific notation
- Scientific notation: 9.93248001 × 108
Factors of 993248001
Divisors of 993248001
- Number of divisors d(n): 80
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Complete list of divisors:
1 3 9 17 27 41 51 73 81 123 153 219 241 369 459 657 697 723 1107 1241 1377 1971 2091 2169 2993 3321 3723 4097 5913 6273 6507 8979 9881 11169 12291 17593 18819 19521 26937 29643 33507 36873 50881 52779 56457 80811 88929 100521 110619 152643 158337 167977 242433 266787 299081 331857 457929 475011 503931 721313 800361 897243 1373787 1425033 1511793 2163939 2691729 4121361 4535379 6491817 8075187 12262321 13606137 19475451 24225561 36786963 58426353 110360889 331082667 993248001
- Sum of all divisors σ(n): 1638152208
- Sum of proper divisors (its aliquot sum) s(n): 644904207
- 993248001 is a deficient number, because the sum of its proper divisors (644904207) is less than itself. Its deficiency is 348343794
Bases of 993248001
- Binary: 1110110011001111000011000000012
- Hexadecimal: 0x3B33C301
- Base-36: GFCR29
Squares and roots of 993248001
- 993248001 squared (9932480012) is 986541591490496001
- 993248001 cubed (9932480013) is 979880463651293763491744001
-
The
square root of 993248001 is 31515.8373044409 -
The
cube root of 993248001 is 997.7442490805
Scales and comparisons
How big is 993248001?- 993,248,001 seconds is equal to 31 years, 30 weeks, 1 day, 22 hours, 13 minutes, 21 seconds.
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To count from 1 to 993,248,001 would take you about forty-seven 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 993248001 cubic inches would be around 83.1 feet tall.
Recreational maths with 993248001
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