830504064
830,504,064 is an even composite number composed of six prime numbers multiplied together.
830504064 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 830504064:
27 × 3 × 13 × 43 × 53 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 43 × 53 × 73)See below for interesting mathematical facts about the number 830504064 from the Numbermatics database.
Names of 830504064
- Cardinal: 830504064 can be written as Eight hundred thirty million, five hundred four thousand and sixty-four.
Scientific notation
- Scientific notation: 8.30504064 × 108
Factors of 830504064
Divisors of 830504064
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 6 8 12 13 16 24 26 32 39 43 48 52 53 64 73 78 86 96 104 106 128 129 146 156 159 172 192 208 212 219 258 292 312 318 344 384 416 424 438 516 559 584 624 636 688 689 832 848 876 949 1032 1118 1168 1248 1272 1376 1378 1664 1677 1696 1752 1898 2064 2067 2236 2279 2336 2496 2544 2752 2756 2847 3139 3354 3392 3504 3796 3869 4128 4134 4472 4558 4672 4992 5088 5504 5512 5694 6278 6708 6784 6837 7008 7592 7738 8256 8268 8944 9116 9344 9417 10176 11024 11388 11607 12556 13416 13674 14016 15184 15476 16512 16536 17888 18232 18834 20352 22048 22776 23214 25112 26832 27348 28032 29627 30368 30952 33072 35776 36464 37668 40807 44096 45552 46428 50224 50297 53664 54696 59254 60736 61904 66144 71552 72928 75336 81614 88192 88881 91104 92856 100448 100594 107328 109392 118508 121472 122421 123808 132288 145856 150672 150891 163228 166367 177762 182208 185712 200896 201188 214656 218784 237016 244842 247616 264576 291712 301344 301782 326456 332734 355524 364416 371424 401792 402376 437568 474032 489684 495232 499101 602688 603564 652912 665468 711048 742848 804752 875136 948064 979368 998202 1205376 1207128 1305824 1330936 1422096 1485696 1609504 1896128 1958736 1996404 2162771 2414256 2611648 2661872 2844192 3219008 3792256 3917472 3992808 4325542 4828512 5223296 5323744 5688384 6438016 6488313 7834944 7985616 8651084 9657024 10647488 11376768 12976626 15669888 15971232 17302168 19314048 21294976 25953252 31942464 34604336 51906504 63884928 69208672 103813008 138417344 207626016 276834688 415252032 830504064
- Sum of all divisors σ(n): 2510766720
- Sum of proper divisors (its aliquot sum) s(n): 1680262656
- 830504064 is an abundant number, because the sum of its proper divisors (1680262656) is greater than itself. Its abundance is 849758592
Bases of 830504064
- Binary: 1100011000000001111100100000002
- Hexadecimal: 0x31807C80
- Base-36: DQGL1C
Squares and roots of 830504064
- 830504064 squared (8305040642) is 689737000320516096
- 830504064 cubed (8305040643) is 572829381857357920305414144
-
The
square root of 830504064 is 28818.4674124077 -
The
cube root of 830504064 is 939.9698436077
Scales and comparisons
How big is 830504064?- 830,504,064 seconds is equal to 26 years, 21 weeks, 1 day, 7 hours, 34 minutes, 24 seconds.
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To count from 1 to 830,504,064 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 830504064 cubic inches would be around 78.3 feet tall.
Recreational maths with 830504064
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