480913020
480,913,020 is an even composite number composed of six prime numbers multiplied together.
What does the number 480913020 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 144 divisors.
480913020 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 480913020:
22 × 32 × 5 × 7 × 61 × 6257
(2 × 2 × 3 × 3 × 5 × 7 × 61 × 6257)See below for interesting mathematical facts about the number 480913020 from the Numbermatics database.
Names of 480913020
- Cardinal: 480913020 can be written as Four hundred eighty million, nine hundred thirteen thousand and twenty.
Scientific notation
- Scientific notation: 4.8091302 × 108
Factors of 480913020
Divisors of 480913020
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 61 63 70 84 90 105 122 126 140 180 183 210 244 252 305 315 366 420 427 549 610 630 732 854 915 1098 1220 1260 1281 1708 1830 2135 2196 2562 2745 3660 3843 4270 5124 5490 6257 6405 7686 8540 10980 12514 12810 15372 18771 19215 25028 25620 31285 37542 38430 43799 56313 62570 75084 76860 87598 93855 112626 125140 131397 175196 187710 218995 225252 262794 281565 375420 381677 394191 437990 525588 563130 656985 763354 788382 875980 1126260 1145031 1313970 1526708 1576764 1908385 1970955 2290062 2627940 2671739 3435093 3816770 3941910 4580124 5343478 5725155 6870186 7633540 7883820 8015217 10686956 11450310 13358695 13740372 16030434 17175465 22900620 24045651 26717390 32060868 34350930 40076085 48091302 53434780 68701860 80152170 96182604 120228255 160304340 240456510 480913020
- Sum of all divisors σ(n): 1694766528
- Sum of proper divisors (its aliquot sum) s(n): 1213853508
- 480913020 is an abundant number, because the sum of its proper divisors (1213853508) is greater than itself. Its abundance is 732940488
Bases of 480913020
- Binary: 111001010101000100110011111002
- Hexadecimal: 0x1CAA267C
- Base-36: 7YBMV0
Squares and roots of 480913020
- 480913020 squared (4809130202) is 231277332805520400
- 480913020 cubed (4809130203) is 111224280577047888235608000
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The
square root of 480913020 is 21929.7291364941 -
The
cube root of 480913020 is 783.4696516445
Scales and comparisons
How big is 480913020?- 480,913,020 seconds is equal to 15 years, 15 weeks, 1 day, 2 hours, 57 minutes.
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To count from 1 to 480,913,020 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 480913020 cubic inches would be around 65.3 feet tall.
Recreational maths with 480913020
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