428825068
428,825,068 is an even composite number composed of six prime numbers multiplied together.
428825068 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 428825068:
22 × 72 × 17 × 41 × 43 × 73
(2 × 2 × 7 × 7 × 17 × 41 × 43 × 73)See below for interesting mathematical facts about the number 428825068 from the Numbermatics database.
Names of 428825068
- Cardinal: 428825068 can be written as Four hundred twenty-eight million, eight hundred twenty-five thousand and sixty-eight.
Scientific notation
- Scientific notation: 4.28825068 × 108
Factors of 428825068
Divisors of 428825068
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 7 14 17 28 34 41 43 49 68 73 82 86 98 119 146 164 172 196 238 287 292 301 476 511 574 602 697 731 833 1022 1148 1204 1241 1394 1462 1666 1763 2009 2044 2107 2482 2788 2924 2993 3139 3332 3526 3577 4018 4214 4879 4964 5117 5986 6278 7052 7154 8036 8428 8687 9758 10234 11972 12341 12556 14308 17374 19516 20468 20951 21973 24682 29971 34153 34748 35819 41902 43946 49364 50881 53363 59942 60809 68306 71638 83804 86387 87892 101762 106726 119884 121618 128699 136612 143276 146657 153811 172774 203524 209797 213452 243236 257398 293314 307622 345548 356167 373541 419594 514796 586628 615244 712334 747082 839188 900893 1424668 1468579 1494164 1801786 2187883 2493169 2614787 2937158 3603572 4375766 4986338 5229574 5874316 6306251 8751532 9972676 10459148 12612502 15315181 25225004 30630362 61260724 107206267 214412534 428825068
- Sum of all divisors σ(n): 982152864
- Sum of proper divisors (its aliquot sum) s(n): 553327796
- 428825068 is an abundant number, because the sum of its proper divisors (553327796) is greater than itself. Its abundance is 124502728
Bases of 428825068
- Binary: 110011000111101011001111011002
- Hexadecimal: 0x198F59EC
- Base-36: 73B7JG
Squares and roots of 428825068
- 428825068 squared (4288250682) is 183890938945204624
- 428825068 cubed (4288250683) is 78857044397761221160714432
-
The
square root of 428825068 is 20708.0918483573 -
The
cube root of 428825068 is 754.0961468623
Scales and comparisons
How big is 428825068?- 428,825,068 seconds is equal to 13 years, 33 weeks, 6 hours, 4 minutes, 28 seconds.
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To count from 1 to 428,825,068 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 428825068 cubic inches would be around 62.8 feet tall.
Recreational maths with 428825068
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