404730144
404,730,144 is an even composite number composed of five prime numbers multiplied together.
404730144 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 404730144:
25 × 32 × 7 × 13 × 15443
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 15443)See below for interesting mathematical facts about the number 404730144 from the Numbermatics database.
Names of 404730144
- Cardinal: 404730144 can be written as Four hundred four million, seven hundred thirty thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 4.04730144 × 108
Factors of 404730144
Divisors of 404730144
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 208 224 234 252 273 288 312 336 364 416 468 504 546 624 672 728 819 936 1008 1092 1248 1456 1638 1872 2016 2184 2912 3276 3744 4368 6552 8736 13104 15443 26208 30886 46329 61772 92658 108101 123544 138987 185316 200759 216202 247088 277974 324303 370632 401518 432404 494176 555948 602277 648606 741264 803036 864808 972909 1111896 1204554 1297212 1405313 1482528 1606072 1729616 1806831 1945818 2223792 2409108 2594424 2810626 3212144 3459232 3613662 3891636 4215939 4447584 4818216 5188848 5621252 6424288 7227324 7783272 8431878 9636432 10377696 11242504 12647817 14454648 15566544 16863756 19272864 22485008 25295634 28909296 31133088 33727512 44970016 50591268 57818592 67455024 101182536 134910048 202365072 404730144
- Sum of all divisors σ(n): 1416647232
- Sum of proper divisors (its aliquot sum) s(n): 1011917088
- 404730144 is an abundant number, because the sum of its proper divisors (1011917088) is greater than itself. Its abundance is 607186944
Bases of 404730144
- Binary: 110000001111110110001001000002
- Hexadecimal: 0x181FB120
- Base-36: 6OYRS0
Squares and roots of 404730144
- 404730144 squared (4047301442) is 163806489462260736
- 404730144 cubed (4047301443) is 66297424068195270246825984
-
The
square root of 404730144 is 20117.9060540603 -
The
cube root of 404730144 is 739.6992593373
Scales and comparisons
How big is 404730144?- 404,730,144 seconds is equal to 12 years, 45 weeks, 1 day, 9 hours, 2 minutes, 24 seconds.
-
To count from 1 to 404,730,144 would take you about nineteen 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 404730144 cubic inches would be around 61.6 feet tall.
Recreational maths with 404730144
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