428814400
428,814,400 is an even composite number composed of four prime numbers multiplied together.
428814400 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eighty-four divisors.
Prime factorization of 428814400:
26 × 52 × 7 × 38287
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 38287)See below for interesting mathematical facts about the number 428814400 from the Numbermatics database.
Names of 428814400
- Cardinal: 428814400 can be written as Four hundred twenty-eight million, eight hundred fourteen thousand, four hundred.
Scientific notation
- Scientific notation: 4.288144 × 108
Factors of 428814400
Divisors of 428814400
- Number of divisors d(n): 84
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 140 160 175 200 224 280 320 350 400 448 560 700 800 1120 1400 1600 2240 2800 5600 11200 38287 76574 153148 191435 268009 306296 382870 536018 612592 765740 957175 1072036 1225184 1340045 1531480 1914350 2144072 2450368 2680090 3062960 3828700 4288144 5360180 6125920 6700225 7657400 8576288 10720360 12251840 13400450 15314800 17152576 21440720 26800900 30629600 42881440 53601800 61259200 85762880 107203600 214407200 428814400
- Sum of all divisors σ(n): 1205918848
- Sum of proper divisors (its aliquot sum) s(n): 777104448
- 428814400 is an abundant number, because the sum of its proper divisors (777104448) is greater than itself. Its abundance is 348290048
Bases of 428814400
- Binary: 110011000111100110000010000002
- Hexadecimal: 0x198F3040
- Base-36: 73AZB4
Squares and roots of 428814400
- 428814400 squared (4288144002) is 183881789647360000
- 428814400 cubed (4288144003) is 78851159298558889984000000
-
The
square root of 428814400 is 20707.8342662867 -
The
cube root of 428814400 is 754.0898935241
Scales and comparisons
How big is 428814400?- 428,814,400 seconds is equal to 13 years, 33 weeks, 3 hours, 6 minutes, 40 seconds.
-
To count from 1 to 428,814,400 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 428814400 cubic inches would be around 62.8 feet tall.
Recreational maths with 428814400
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