463428945
463,428,945 is an odd composite number composed of five prime numbers multiplied together.
463428945 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twelve divisors.
Prime factorization of 463428945:
36 × 5 × 7 × 41 × 443
(3 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 41 × 443)See below for interesting mathematical facts about the number 463428945 from the Numbermatics database.
Names of 463428945
- Cardinal: 463428945 can be written as Four hundred sixty-three million, four hundred twenty-eight thousand, nine hundred forty-five.
Scientific notation
- Scientific notation: 4.63428945 × 108
Factors of 463428945
Divisors of 463428945
- Number of divisors d(n): 112
-
Complete list of divisors:
1 3 5 7 9 15 21 27 35 41 45 63 81 105 123 135 189 205 243 287 315 369 405 443 567 615 729 861 945 1107 1215 1329 1435 1701 1845 2215 2583 2835 3101 3321 3645 3987 4305 5103 5535 6645 7749 8505 9303 9963 11961 12915 15505 16605 18163 19935 23247 25515 27909 29889 35883 38745 46515 49815 54489 59805 69741 83727 90815 107649 116235 127141 139545 149445 163467 179415 209223 251181 272445 322947 348705 381423 418635 490401 538245 635705 753543 817335 1046115 1144269 1255905 1471203 1614735 1907115 2260629 2452005 3432807 3767715 4413609 5721345 7356015 10298421 11303145 13240827 17164035 22068045 30895263 51492105 66204135 92685789 154476315 463428945
- Sum of all divisors σ(n): 978348672
- Sum of proper divisors (its aliquot sum) s(n): 514919727
- 463428945 is an abundant number, because the sum of its proper divisors (514919727) is greater than itself. Its abundance is 51490782
Bases of 463428945
- Binary: 110111001111101011101010100012
- Hexadecimal: 0x1B9F5D51
- Base-36: 7NWW29
Squares and roots of 463428945
- 463428945 squared (4634289452) is 214766387063813025
- 463428945 cubed (4634289453) is 99528960178444517853008625
-
The
square root of 463428945 is 21527.3998662171 -
The
cube root of 463428945 is 773.8575995465
Scales and comparisons
How big is 463428945?- 463,428,945 seconds is equal to 14 years, 38 weeks, 1 day, 18 hours, 15 minutes, 45 seconds.
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To count from 1 to 463,428,945 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 463428945 cubic inches would be around 64.5 feet tall.
Recreational maths with 463428945
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