830464128
830,464,128 is an even composite number composed of five prime numbers multiplied together.
830464128 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 830464128:
27 × 32 × 13 × 23 × 2411
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 23 × 2411)See below for interesting mathematical facts about the number 830464128 from the Numbermatics database.
Names of 830464128
- Cardinal: 830464128 can be written as Eight hundred thirty million, four hundred sixty-four thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 8.30464128 × 108
Factors of 830464128
Divisors of 830464128
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 23 24 26 32 36 39 46 48 52 64 69 72 78 92 96 104 117 128 138 144 156 184 192 207 208 234 276 288 299 312 368 384 414 416 468 552 576 598 624 736 828 832 897 936 1104 1152 1196 1248 1472 1656 1664 1794 1872 2208 2392 2411 2496 2691 2944 3312 3588 3744 4416 4784 4822 4992 5382 6624 7176 7233 7488 8832 9568 9644 10764 13248 14352 14466 14976 19136 19288 21528 21699 26496 28704 28932 31343 38272 38576 43056 43398 55453 57408 57864 62686 77152 86112 86796 94029 110906 114816 115728 125372 154304 166359 172224 173592 188058 221812 231456 250744 282087 308608 332718 344448 347184 376116 443624 462912 499077 501488 564174 665436 694368 720889 752232 887248 925824 998154 1002976 1128348 1330872 1388736 1441778 1504464 1774496 1996308 2005952 2162667 2256696 2661744 2777472 2883556 3008928 3548992 3992616 4011904 4325334 4513392 5323488 5767112 6017856 6488001 7097984 7985232 8650668 9026784 10646976 11534224 12035712 12976002 15970464 17301336 18053568 21293952 23068448 25952004 31940928 34602672 36107136 46136896 51904008 63881856 69205344 92273792 103808016 138410688 207616032 276821376 415232064 830464128
- Sum of all divisors σ(n): 2686582080
- Sum of proper divisors (its aliquot sum) s(n): 1856117952
- 830464128 is an abundant number, because the sum of its proper divisors (1856117952) is greater than itself. Its abundance is 1025653824
Bases of 830464128
- Binary: 1100010111111111100000100000002
- Hexadecimal: 0x317FE080
- Base-36: DQFQ80
Squares and roots of 830464128
- 830464128 squared (8304641282) is 689670667894800384
- 830464128 cubed (8304641283) is 572746749820432996632625152
-
The
square root of 830464128 is 28817.7745150453 -
The
cube root of 830464128 is 939.9547767591
Scales and comparisons
How big is 830464128?- 830,464,128 seconds is equal to 26 years, 21 weeks, 20 hours, 28 minutes, 48 seconds.
-
To count from 1 to 830,464,128 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 830464128 cubic inches would be around 78.3 feet tall.
Recreational maths with 830464128
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