820424145
820,424,145 is an odd composite number composed of six prime numbers multiplied together.
820424145 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of sixty-four divisors.
Prime factorization of 820424145:
3 × 5 × 23 × 31 × 41 × 1871
See below for interesting mathematical facts about the number 820424145 from the Numbermatics database.
Names of 820424145
- Cardinal: 820424145 can be written as Eight hundred twenty million, four hundred twenty-four thousand, one hundred forty-five.
Scientific notation
- Scientific notation: 8.20424145 × 108
Factors of 820424145
Divisors of 820424145
- Number of divisors d(n): 64
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Complete list of divisors:
1 3 5 15 23 31 41 69 93 115 123 155 205 345 465 615 713 943 1271 1871 2139 2829 3565 3813 4715 5613 6355 9355 10695 14145 19065 28065 29233 43033 58001 76711 87699 129099 146165 174003 215165 230133 290005 383555 438495 645495 870015 1150665 1334023 1764353 2378041 4002069 5293059 6670115 7134123 8821765 11890205 20010345 26465295 35670615 54694943 164084829 273474715 820424145
- Sum of all divisors σ(n): 1449197568
- Sum of proper divisors (its aliquot sum) s(n): 628773423
- 820424145 is a deficient number, because the sum of its proper divisors (628773423) is less than itself. Its deficiency is 191650722
Bases of 820424145
- Binary: 1100001110011010101101110100012
- Hexadecimal: 0x30E6ADD1
- Base-36: DKGJBL
Squares and roots of 820424145
- 820424145 squared (8204241452) is 673095777698981025
- 820424145 cubed (8204241453) is 552224027921796574806848625
-
The
square root of 820424145 is 28643.0470620707 -
The
cube root of 820424145 is 936.1515148013
Scales and comparisons
How big is 820424145?- 820,424,145 seconds is equal to 26 years, 4 weeks, 3 days, 15 hours, 35 minutes, 45 seconds.
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To count from 1 to 820,424,145 would take you about thirty-nine 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 820424145 cubic inches would be around 78 feet tall.
Recreational maths with 820424145
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