428225616
428,225,616 is an even composite number composed of five prime numbers multiplied together.
428225616 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred divisors.
Prime factorization of 428225616:
24 × 34 × 7 × 13 × 3631
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 13 × 3631)See below for interesting mathematical facts about the number 428225616 from the Numbermatics database.
Names of 428225616
- Cardinal: 428225616 can be written as Four hundred twenty-eight million, two hundred twenty-five thousand, six hundred sixteen.
Scientific notation
- Scientific notation: 4.28225616 × 108
Factors of 428225616
Divisors of 428225616
- Number of divisors d(n): 200
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 36 39 42 48 52 54 56 63 72 78 81 84 91 104 108 112 117 126 144 156 162 168 182 189 208 216 234 252 273 312 324 336 351 364 378 432 468 504 546 567 624 648 702 728 756 819 936 1008 1053 1092 1134 1296 1404 1456 1512 1638 1872 2106 2184 2268 2457 2808 3024 3276 3631 4212 4368 4536 4914 5616 6552 7262 7371 8424 9072 9828 10893 13104 14524 14742 16848 19656 21786 25417 29048 29484 32679 39312 43572 47203 50834 58096 58968 65358 76251 87144 94406 98037 101668 117936 130716 141609 152502 174288 188812 196074 203336 228753 261432 283218 294111 305004 330421 377624 392148 406672 424827 457506 522864 566436 588222 610008 660842 686259 755248 784296 849654 915012 991263 1132872 1176444 1220016 1274481 1321684 1372518 1568592 1699308 1830024 1982526 2058777 2265744 2352888 2548962 2643368 2745036 2973789 3398616 3660048 3823443 3965052 4117554 4705776 5097924 5286736 5490072 5947578 6797232 7646886 7930104 8235108 8921367 10195848 10980144 11895156 15293772 15860208 16470216 17842734 20391696 23790312 26764101 30587544 32940432 35685468 47580624 53528202 61175088 71370936 107056404 142741872 214112808 428225616
- Sum of all divisors σ(n): 1525846784
- Sum of proper divisors (its aliquot sum) s(n): 1097621168
- 428225616 is an abundant number, because the sum of its proper divisors (1097621168) is greater than itself. Its abundance is 669395552
Bases of 428225616
- Binary: 110011000011000110100010100002
- Hexadecimal: 0x19863450
- Base-36: 72YD00
Squares and roots of 428225616
- 428225616 squared (4282256162) is 183377178198579456
- 428225616 cubed (4282256163) is 78526805094428457870544896
-
The
square root of 428225616 is 20693.6129276645 -
The
cube root of 428225616 is 753.7446008375
Scales and comparisons
How big is 428225616?- 428,225,616 seconds is equal to 13 years, 32 weeks, 7 hours, 33 minutes, 36 seconds.
-
To count from 1 to 428,225,616 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 428225616 cubic inches would be around 62.8 feet tall.
Recreational maths with 428225616
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