471472144
471,472,144 is an even composite number composed of four prime numbers multiplied together.
471472144 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 471472144:
24 × 113 × 132 × 131
(2 × 2 × 2 × 2 × 11 × 11 × 11 × 13 × 13 × 131)See below for interesting mathematical facts about the number 471472144 from the Numbermatics database.
Names of 471472144
- Cardinal: 471472144 can be written as Four hundred seventy-one million, four hundred seventy-two thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 4.71472144 × 108
Factors of 471472144
Divisors of 471472144
- Number of divisors d(n): 120
-
Complete list of divisors:
1 2 4 8 11 13 16 22 26 44 52 88 104 121 131 143 169 176 208 242 262 286 338 484 524 572 676 968 1048 1144 1331 1352 1441 1573 1703 1859 1936 2096 2288 2662 2704 2882 3146 3406 3718 5324 5764 6292 6812 7436 10648 11528 12584 13624 14872 15851 17303 18733 20449 21296 22139 23056 25168 27248 29744 31702 34606 37466 40898 44278 63404 69212 74932 81796 88556 126808 138424 149864 163592 174361 177112 206063 224939 243529 253616 276848 299728 327184 348722 354224 412126 449878 487058 697444 824252 899756 974116 1394888 1648504 1799512 1948232 2266693 2678819 2789776 3297008 3599024 3896464 4533386 5357638 9066772 10715276 18133544 21430552 29467009 36267088 42861104 58934018 117868036 235736072 471472144
- Sum of all divisors σ(n): 1096295904
- Sum of proper divisors (its aliquot sum) s(n): 624823760
- 471472144 is an abundant number, because the sum of its proper divisors (624823760) is greater than itself. Its abundance is 153351616
Bases of 471472144
- Binary: 111000001101000011000000100002
- Hexadecimal: 0x1C1A1810
- Base-36: 7SPA8G
Squares and roots of 471472144
- 471472144 squared (4714721442) is 222285982567956736
- 471472144 cubed (4714721443) is 104801648782461188021161984
-
The
square root of 471472144 is 21713.4093131411 -
The
cube root of 471472144 is 778.3089289329
Scales and comparisons
How big is 471472144?- 471,472,144 seconds is equal to 14 years, 51 weeks, 3 days, 20 hours, 29 minutes, 4 seconds.
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To count from 1 to 471,472,144 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 471472144 cubic inches would be around 64.9 feet tall.
Recreational maths with 471472144
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