480208960
480,208,960 is an even composite number composed of five prime numbers multiplied together.
What does the number 480208960 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 112 divisors.
480208960 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twelve divisors.
Prime factorization of 480208960:
26 × 5 × 7 × 11 × 19489
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 11 × 19489)See below for interesting mathematical facts about the number 480208960 from the Numbermatics database.
Names of 480208960
- Cardinal: 480208960 can be written as Four hundred eighty million, two hundred eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 4.8020896 × 108
Factors of 480208960
Divisors of 480208960
- Number of divisors d(n): 112
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 140 154 160 176 220 224 280 308 320 352 385 440 448 560 616 704 770 880 1120 1232 1540 1760 2240 2464 3080 3520 4928 6160 12320 19489 24640 38978 77956 97445 136423 155912 194890 214379 272846 311824 389780 428758 545692 623648 682115 779560 857516 1071895 1091384 1247296 1364230 1500653 1559120 1715032 2143790 2182768 2728460 3001306 3118240 3430064 4287580 4365536 5456920 6002612 6236480 6860128 7503265 8575160 8731072 10913840 12005224 13720256 15006530 17150320 21827680 24010448 30013060 34300640 43655360 48020896 60026120 68601280 96041792 120052240 240104480 480208960
- Sum of all divisors σ(n): 1425732480
- Sum of proper divisors (its aliquot sum) s(n): 945523520
- 480208960 is an abundant number, because the sum of its proper divisors (945523520) is greater than itself. Its abundance is 465314560
Bases of 480208960
- Binary: 111001001111101101000010000002
- Hexadecimal: 0x1C9F6840
- Base-36: 7XWJLS
Squares and roots of 480208960
- 480208960 squared (4802089602) is 230600645264281600
- 480208960 cubed (4802089603) is 110736496037689592283136000
-
The
square root of 480208960 is 21913.6706190451 -
The
cube root of 480208960 is 783.0871299091
Scales and comparisons
How big is 480208960?- 480,208,960 seconds is equal to 15 years, 13 weeks, 6 days, 23 hours, 22 minutes, 40 seconds.
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To count from 1 to 480,208,960 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 480208960 cubic inches would be around 65.3 feet tall.
Recreational maths with 480208960
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