428679342
428,679,342 is an even composite number composed of five prime numbers multiplied together.
428679342 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 428679342:
2 × 32 × 75 × 13 × 109
(2 × 3 × 3 × 7 × 7 × 7 × 7 × 7 × 13 × 109)See below for interesting mathematical facts about the number 428679342 from the Numbermatics database.
Names of 428679342
- Cardinal: 428679342 can be written as Four hundred twenty-eight million, six hundred seventy-nine thousand, three hundred forty-two.
Scientific notation
- Scientific notation: 4.28679342 × 108
Factors of 428679342
Divisors of 428679342
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 109 117 126 147 182 218 234 273 294 327 343 441 546 637 654 686 763 819 882 981 1029 1274 1417 1526 1638 1911 1962 2058 2289 2401 2834 3087 3822 4251 4459 4578 4802 5341 5733 6174 6867 7203 8502 8918 9919 10682 11466 12753 13377 13734 14406 16023 16807 19838 21609 25506 26754 29757 31213 32046 33614 37387 40131 43218 48069 50421 59514 62426 69433 74774 80262 89271 93639 96138 100842 112161 138866 151263 178542 187278 208299 218491 224322 261709 280917 302526 336483 416598 436982 486031 523418 561834 624897 655473 672966 785127 972062 1249794 1310946 1458093 1570254 1831963 1966419 2355381 2916186 3402217 3663926 3932838 4374279 4710762 5495889 6804434 8748558 10206651 10991778 16487667 20413302 23815519 30619953 32975334 47631038 61239906 71446557 142893114 214339671 428679342
- Sum of all divisors σ(n): 1177656480
- Sum of proper divisors (its aliquot sum) s(n): 748977138
- 428679342 is an abundant number, because the sum of its proper divisors (748977138) is greater than itself. Its abundance is 320297796
Bases of 428679342
- Binary: 110011000110100100000101011102
- Hexadecimal: 0x198D20AE
- Base-36: 73833I
Squares and roots of 428679342
- 428679342 squared (4286793422) is 183765978257552964
- 428679342 cubed (4286793423) is 78776678641434111137669688
-
The
square root of 428679342 is 20704.5729731381 -
The
cube root of 428679342 is 754.0107166379
Scales and comparisons
How big is 428679342?- 428,679,342 seconds is equal to 13 years, 32 weeks, 5 days, 13 hours, 35 minutes, 42 seconds.
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To count from 1 to 428,679,342 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 428679342 cubic inches would be around 62.8 feet tall.
Recreational maths with 428679342
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