480012800
480,012,800 is an even composite number composed of three prime numbers multiplied together.
What does the number 480012800 look like?
This visualization shows the relationship between its 3 prime factors (large circles) and 60 divisors.
480012800 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixty divisors.
Prime factorization of 480012800:
29 × 52 × 37501
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 37501)See below for interesting mathematical facts about the number 480012800 from the Numbermatics database.
Names of 480012800
- Cardinal: 480012800 can be written as Four hundred eighty million, twelve thousand, eight hundred.
Scientific notation
- Scientific notation: 4.800128 × 108
Factors of 480012800
Divisors of 480012800
- Number of divisors d(n): 60
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1280 1600 2560 3200 6400 12800 37501 75002 150004 187505 300008 375010 600016 750020 937525 1200032 1500040 1875050 2400064 3000080 3750100 4800128 6000160 7500200 9600256 12000320 15000400 19200512 24000640 30000800 48001280 60001600 96002560 120003200 240006400 480012800
- Sum of all divisors σ(n): 1189300926
- Sum of proper divisors (its aliquot sum) s(n): 709288126
- 480012800 is an abundant number, because the sum of its proper divisors (709288126) is greater than itself. Its abundance is 229275326
Bases of 480012800
- Binary: 111001001110001101010000000002
- Hexadecimal: 0x1C9C6A00
- Base-36: 7XSC8W
Squares and roots of 480012800
- 480012800 squared (4800128002) is 230412288163840000
- 480012800 cubed (4800128003) is 110600847595931697152000000
-
The
square root of 480012800 is 21909.1944169565 -
The
cube root of 480012800 is 782.9804879367
Scales and comparisons
How big is 480012800?- 480,012,800 seconds is equal to 15 years, 13 weeks, 4 days, 16 hours, 53 minutes, 20 seconds.
-
To count from 1 to 480,012,800 would take you about twenty-two 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 480012800 cubic inches would be around 65.2 feet tall.
Recreational maths with 480012800
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