820142904
820,142,904 is an even composite number composed of five prime numbers multiplied together.
What does the number 820142904 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 96 divisors.
820142904 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 820142904:
23 × 3 × 7 × 192 × 13523
(2 × 2 × 2 × 3 × 7 × 19 × 19 × 13523)See below for interesting mathematical facts about the number 820142904 from the Numbermatics database.
Names of 820142904
- Cardinal: 820142904 can be written as Eight hundred twenty million, one hundred forty-two thousand, nine hundred four.
Scientific notation
- Scientific notation: 8.20142904 × 108
Factors of 820142904
Divisors of 820142904
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 361 399 456 532 722 798 1064 1083 1444 1596 2166 2527 2888 3192 4332 5054 7581 8664 10108 13523 15162 20216 27046 30324 40569 54092 60648 81138 94661 108184 162276 189322 256937 283983 324552 378644 513874 567966 757288 770811 1027748 1135932 1541622 1798559 2055496 2271864 3083244 3597118 4881803 5395677 6166488 7194236 9763606 10791354 14388472 14645409 19527212 21582708 29290818 34172621 39054424 43165416 58581636 68345242 102517863 117163272 136690484 205035726 273380968 410071452 820142904
- Sum of all divisors σ(n): 2473269120
- Sum of proper divisors (its aliquot sum) s(n): 1653126216
- 820142904 is an abundant number, because the sum of its proper divisors (1653126216) is greater than itself. Its abundance is 832983312
Bases of 820142904
- Binary: 1100001110001001100011001110002
- Hexadecimal: 0x30E26338
- Base-36: DKAIBC
Squares and roots of 820142904
- 820142904 squared (8201429042) is 672634382981553216
- 820142904 cubed (8201429043) is 551656316188739233000779264
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The
square root of 820142904 is 28638.1372299247 -
The
cube root of 820142904 is 936.0445318137
Scales and comparisons
How big is 820142904?- 820,142,904 seconds is equal to 26 years, 4 weeks, 9 hours, 28 minutes, 24 seconds.
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To count from 1 to 820,142,904 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 820142904 cubic inches would be around 78 feet tall.
Recreational maths with 820142904
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The information we have on file for 820142904 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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