428820600
428,820,600 is an even composite number composed of five prime numbers multiplied together.
428820600 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 428820600:
23 × 3 × 52 × 132 × 4229
(2 × 2 × 2 × 3 × 5 × 5 × 13 × 13 × 4229)See below for interesting mathematical facts about the number 428820600 from the Numbermatics database.
Names of 428820600
- Cardinal: 428820600 can be written as Four hundred twenty-eight million, eight hundred twenty thousand, six hundred.
Scientific notation
- Scientific notation: 4.288206 × 108
Factors of 428820600
Divisors of 428820600
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 169 195 200 260 300 312 325 338 390 507 520 600 650 676 780 845 975 1014 1300 1352 1560 1690 1950 2028 2535 2600 3380 3900 4056 4225 4229 5070 6760 7800 8450 8458 10140 12675 12687 16900 16916 20280 21145 25350 25374 33800 33832 42290 50700 50748 54977 63435 84580 101400 101496 105725 109954 126870 164931 169160 211450 219908 253740 274885 317175 329862 422900 439816 507480 549770 634350 659724 714701 824655 845800 1099540 1268700 1319448 1374425 1429402 1649310 2144103 2199080 2537400 2748850 2858804 3298620 3573505 4123275 4288206 5497700 5717608 6597240 7147010 8246550 8576412 10720515 10995400 14294020 16493100 17152824 17867525 21441030 28588040 32986200 35735050 42882060 53602575 71470100 85764120 107205150 142940200 214410300 428820600
- Sum of all divisors σ(n): 1439807400
- Sum of proper divisors (its aliquot sum) s(n): 1010986800
- 428820600 is an abundant number, because the sum of its proper divisors (1010986800) is greater than itself. Its abundance is 582166200
Bases of 428820600
- Binary: 110011000111101001000011110002
- Hexadecimal: 0x198F4878
- Base-36: 73B43C
Squares and roots of 428820600
- 428820600 squared (4288206002) is 183887106984360000
- 428820600 cubed (4288206003) is 78854579549297445816000000
-
The
square root of 428820600 is 20707.9839675423 -
The
cube root of 428820600 is 754.0935278353
Scales and comparisons
How big is 428820600?- 428,820,600 seconds is equal to 13 years, 33 weeks, 4 hours, 50 minutes.
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To count from 1 to 428,820,600 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 428820600 cubic inches would be around 62.8 feet tall.
Recreational maths with 428820600
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