428412800
428,412,800 is an even composite number composed of four prime numbers multiplied together.
428412800 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 428412800:
27 × 52 × 83 × 1613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 83 × 1613)See below for interesting mathematical facts about the number 428412800 from the Numbermatics database.
Names of 428412800
- Cardinal: 428412800 can be written as Four hundred twenty-eight million, four hundred twelve thousand, eight hundred.
Scientific notation
- Scientific notation: 4.284128 × 108
Factors of 428412800
Divisors of 428412800
- Number of divisors d(n): 96
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 50 64 80 83 100 128 160 166 200 320 332 400 415 640 664 800 830 1328 1600 1613 1660 2075 2656 3200 3226 3320 4150 5312 6452 6640 8065 8300 10624 12904 13280 16130 16600 25808 26560 32260 33200 40325 51616 53120 64520 66400 80650 103232 129040 132800 133879 161300 206464 258080 265600 267758 322600 516160 535516 645200 669395 1032320 1071032 1290400 1338790 2142064 2580800 2677580 3346975 4284128 5161600 5355160 6693950 8568256 10710320 13387900 17136512 21420640 26775800 42841280 53551600 85682560 107103200 214206400 428412800
- Sum of all divisors σ(n): 1071728280
- Sum of proper divisors (its aliquot sum) s(n): 643315480
- 428412800 is an abundant number, because the sum of its proper divisors (643315480) is greater than itself. Its abundance is 214902680
Bases of 428412800
- Binary: 110011000100100001111100000002
- Hexadecimal: 0x19890F80
- Base-36: 732DFK
Squares and roots of 428412800
- 428412800 squared (4284128002) is 183537527203840000
- 428412800 cubed (4284128003) is 78629825934473265152000000
-
The
square root of 428412800 is 20698.1351817017 -
The
cube root of 428412800 is 753.8544092903
Scales and comparisons
How big is 428412800?- 428,412,800 seconds is equal to 13 years, 32 weeks, 2 days, 11 hours, 33 minutes, 20 seconds.
-
To count from 1 to 428,412,800 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 428412800 cubic inches would be around 62.8 feet tall.
Recreational maths with 428412800
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