428070825
428,070,825 is an odd composite number composed of six prime numbers multiplied together.
428070825 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 428070825:
34 × 52 × 7 × 13 × 23 × 101
(3 × 3 × 3 × 3 × 5 × 5 × 7 × 13 × 23 × 101)See below for interesting mathematical facts about the number 428070825 from the Numbermatics database.
Names of 428070825
- Cardinal: 428070825 can be written as Four hundred twenty-eight million, seventy thousand, eight hundred twenty-five.
Scientific notation
- Scientific notation: 4.28070825 × 108
Factors of 428070825
Divisors of 428070825
- Number of divisors d(n): 240
-
Complete list of divisors:
1 3 5 7 9 13 15 21 23 25 27 35 39 45 63 65 69 75 81 91 101 105 115 117 135 161 175 189 195 207 225 273 299 303 315 325 345 351 405 455 483 505 525 567 575 585 621 675 707 805 819 897 909 945 975 1035 1053 1313 1365 1449 1495 1515 1575 1725 1755 1863 2025 2093 2121 2275 2323 2415 2457 2525 2691 2727 2835 2925 3105 3535 3939 4025 4095 4347 4485 4545 4725 5175 5265 6279 6363 6565 6825 6969 7245 7371 7475 7575 8073 8181 8775 9191 9315 10465 10605 11615 11817 12075 12285 13041 13455 13635 14175 15525 16261 17675 18837 19089 19695 20475 20907 21735 22425 22725 24219 26325 27573 30199 31395 31815 32825 34845 35451 36225 36855 40365 40905 45955 46575 48783 52325 53025 56511 57267 58075 59085 61425 62721 65205 67275 68175 81305 82719 90597 94185 95445 98475 104535 106353 108675 121095 137865 146349 150995 156975 159075 169533 174225 177255 184275 188163 201825 204525 211393 229775 243915 248157 271791 282555 286335 295425 313605 326025 406525 413595 439047 452985 470925 477225 522675 531765 605475 634179 689325 731745 744471 754975 815373 847665 886275 940815 1056965 1219575 1240785 1317141 1358955 1412775 1431675 1568025 1902537 2067975 2195235 2264925 2446119 2658825 3170895 3658725 3722355 4076865 4238325 4704075 5284825 5707611 6203925 6585705 6794775 9512685 10976175 12230595 15854475 17122833 18611775 20384325 28538055 32928525 47563425 61152975 85614165 142690275 428070825
- Sum of all divisors σ(n): 1028434176
- Sum of proper divisors (its aliquot sum) s(n): 600363351
- 428070825 is an abundant number, because the sum of its proper divisors (600363351) is greater than itself. Its abundance is 172292526
Bases of 428070825
- Binary: 110011000001111010111101010012
- Hexadecimal: 0x1983D7A9
- Base-36: 72V1K9
Squares and roots of 428070825
- 428070825 squared (4280708252) is 183244631216180625
- 428070825 cubed (4280708253) is 78441680461531193492765625
-
The
square root of 428070825 is 20689.8725225653 -
The
cube root of 428070825 is 753.6537710375
Scales and comparisons
How big is 428070825?- 428,070,825 seconds is equal to 13 years, 31 weeks, 5 days, 12 hours, 33 minutes, 45 seconds.
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To count from 1 to 428,070,825 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 428070825 cubic inches would be around 62.8 feet tall.
Recreational maths with 428070825
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