428916384
428,916,384 is an even composite number composed of four prime numbers multiplied together.
428916384 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 428916384:
25 × 35 × 13 × 4243
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 13 × 4243)See below for interesting mathematical facts about the number 428916384 from the Numbermatics database.
Names of 428916384
- Cardinal: 428916384 can be written as Four hundred twenty-eight million, nine hundred sixteen thousand, three hundred eighty-four.
Scientific notation
- Scientific notation: 4.28916384 × 108
Factors of 428916384
Divisors of 428916384
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 243 288 312 324 351 416 432 468 486 624 648 702 864 936 972 1053 1248 1296 1404 1872 1944 2106 2592 2808 3159 3744 3888 4212 4243 5616 6318 7776 8424 8486 11232 12636 12729 16848 16972 25272 25458 33696 33944 38187 50544 50916 55159 67888 76374 101088 101832 110318 114561 135776 152748 165477 203664 220636 229122 305496 330954 343683 407328 441272 458244 496431 610992 661908 687366 882544 916488 992862 1031049 1221984 1323816 1374732 1489293 1765088 1832976 1985724 2062098 2647632 2749464 2978586 3665952 3971448 4124196 4467879 5295264 5498928 5957172 7942896 8248392 8935758 10997856 11914344 13403637 15885792 16496784 17871516 23828688 26807274 32993568 35743032 47657376 53614548 71486064 107229096 142972128 214458192 428916384
- Sum of all divisors σ(n): 1362527712
- Sum of proper divisors (its aliquot sum) s(n): 933611328
- 428916384 is an abundant number, because the sum of its proper divisors (933611328) is greater than itself. Its abundance is 504694944
Bases of 428916384
- Binary: 110011001000010111110101000002
- Hexadecimal: 0x1990BEA0
- Base-36: 73D600
Squares and roots of 428916384
- 428916384 squared (4289163842) is 183969264463635456
- 428916384 cubed (4289163843) is 78907431680882219281711104
-
The
square root of 428916384 is 20710.2965695811 -
The
cube root of 428916384 is 754.1496699743
Scales and comparisons
How big is 428916384?- 428,916,384 seconds is equal to 13 years, 33 weeks, 1 day, 7 hours, 26 minutes, 24 seconds.
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To count from 1 to 428,916,384 would take you about twenty 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 428916384 cubic inches would be around 62.8 feet tall.
Recreational maths with 428916384
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