12864384
12,864,384 is an even composite number composed of four prime numbers multiplied together.
12864384 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 12864384:
27 × 32 × 13 × 859
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 859)See below for interesting mathematical facts about the number 12864384 from the Numbermatics database.
Names of 12864384
- Cardinal: 12864384 can be written as Twelve million, eight hundred sixty-four thousand, three hundred eighty-four.
Scientific notation
- Scientific notation: 1.2864384 × 107
Factors of 12864384
Divisors of 12864384
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 859 936 1152 1248 1664 1718 1872 2496 2577 3436 3744 4992 5154 6872 7488 7731 10308 11167 13744 14976 15462 20616 22334 27488 30924 33501 41232 44668 54976 61848 67002 82464 89336 100503 109952 123696 134004 164928 178672 201006 247392 268008 329856 357344 402012 494784 536016 714688 804024 989568 1072032 1429376 1608048 2144064 3216096 4288128 6432192 12864384
- Sum of all divisors σ(n): 39912600
- Sum of proper divisors (its aliquot sum) s(n): 27048216
- 12864384 is an abundant number, because the sum of its proper divisors (27048216) is greater than itself. Its abundance is 14183832
Bases of 12864384
- Binary: 1100010001001011100000002
- Hexadecimal: 0xC44B80
- Base-36: 7NQ80
Squares and roots of 12864384
- 12864384 squared (128643842) is 165492375699456
- 12864384 cubed (128643843) is 2128957470070070575104
-
The
square root of 12864384 is 3586.6954150025 -
The
cube root of 12864384 is 234.3129715317
Scales and comparisons
How big is 12864384?- 12,864,384 seconds is equal to 21 weeks, 1 day, 21 hours, 26 minutes, 24 seconds.
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To count from 1 to 12,864,384 would take you about thirty-one weeks!
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 12864384 cubic inches would be around 19.5 feet tall.
Recreational maths with 12864384
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