493485993
493,485,993 is an odd composite number composed of six prime numbers multiplied together.
493485993 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 493485993:
33 × 7 × 11 × 13 × 19 × 312
(3 × 3 × 3 × 7 × 11 × 13 × 19 × 31 × 31)See below for interesting mathematical facts about the number 493485993 from the Numbermatics database.
Names of 493485993
- Cardinal: 493485993 can be written as Four hundred ninety-three million, four hundred eighty-five thousand, nine hundred ninety-three.
Scientific notation
- Scientific notation: 4.93485993 × 108
Factors of 493485993
Divisors of 493485993
- Number of divisors d(n): 192
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Complete list of divisors:
1 3 7 9 11 13 19 21 27 31 33 39 57 63 77 91 93 99 117 133 143 171 189 209 217 231 247 273 279 297 341 351 399 403 429 513 589 627 651 693 741 819 837 961 1001 1023 1197 1209 1287 1463 1729 1767 1881 1953 2079 2223 2387 2457 2717 2821 2883 3003 3069 3591 3627 3861 4123 4389 4433 5187 5301 5643 5859 6479 6669 6727 7161 7657 8151 8463 8649 9009 9207 10571 10881 12369 12493 13167 13299 15561 15903 18259 19019 19437 20181 21483 22971 24453 25389 25947 27027 31031 31713 37107 37479 39501 39897 45353 46683 53599 54777 57057 58311 60543 64449 68913 73359 73997 76167 84227 87451 93093 95139 111321 112437 119691 127813 136059 137423 160797 164331 171171 174933 181629 200849 206739 221991 237367 252681 262353 279279 285417 337311 383439 408177 412269 482391 492993 513513 589589 602547 665973 712101 758043 787059 837837 961961 1150317 1224531 1236807 1405943 1447173 1661569 1768767 1807641 1997919 2136303 2274129 2361177 2611037 2885883 3450951 3710421 4217829 4984707 5306301 5422923 6408909 7833111 8657649 12653487 14954121 15918903 18277259 23499333 25972947 37960461 44862363 54831777 70497999 164495331 493485993
- Sum of all divisors σ(n): 1067673600
- Sum of proper divisors (its aliquot sum) s(n): 574187607
- 493485993 is an abundant number, because the sum of its proper divisors (574187607) is greater than itself. Its abundance is 80701614
Bases of 493485993
- Binary: 111010110100111111111101010012
- Hexadecimal: 0x1D69FFA9
- Base-36: 85T489
Squares and roots of 493485993
- 493485993 squared (4934859932) is 243528425287196049
- 493485993 cubed (4934859933) is 120177866776578252426441657
-
The
square root of 493485993 is 22214.5446273381 -
The
cube root of 493485993 is 790.2386679407
Scales and comparisons
How big is 493485993?- 493,485,993 seconds is equal to 15 years, 35 weeks, 6 days, 15 hours, 26 minutes, 33 seconds.
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To count from 1 to 493,485,993 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 493485993 cubic inches would be around 65.9 feet tall.
Recreational maths with 493485993
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