404345942
404,345,942 is an even composite number composed of six prime numbers multiplied together.
404345942 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 404345942:
2 × 72 × 112 × 13 × 43 × 61
(2 × 7 × 7 × 11 × 11 × 13 × 43 × 61)See below for interesting mathematical facts about the number 404345942 from the Numbermatics database.
Names of 404345942
- Cardinal: 404345942 can be written as Four hundred four million, three hundred forty-five thousand, nine hundred forty-two.
Scientific notation
- Scientific notation: 4.04345942 × 108
Factors of 404345942
Divisors of 404345942
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 7 11 13 14 22 26 43 49 61 77 86 91 98 121 122 143 154 182 242 286 301 427 473 539 559 602 637 671 793 847 854 946 1001 1078 1118 1274 1342 1573 1586 1694 2002 2107 2623 2989 3146 3311 3913 4214 4697 5203 5246 5551 5929 5978 6149 6622 7007 7381 7826 8723 9394 10406 11011 11102 11858 12298 14014 14762 17446 18361 22022 23177 27391 28853 32879 34099 36421 36722 38857 43043 46354 51667 54782 57706 61061 65758 67639 68198 72842 77077 77714 86086 95953 103334 122122 128527 135278 154154 191906 201971 238693 254947 257054 301301 317383 361669 375089 403942 427427 473473 477386 509894 602602 634766 671671 723338 750178 854854 946946 1343342 1413797 1670851 2221681 2625623 2827594 3314311 3341702 4125979 4443362 4701697 5251246 6628622 8251958 9403394 15551767 18379361 28881853 31103534 36758722 57763706 202172971 404345942
- Sum of all divisors σ(n): 868600656
- Sum of proper divisors (its aliquot sum) s(n): 464254714
- 404345942 is an abundant number, because the sum of its proper divisors (464254714) is greater than itself. Its abundance is 59908772
Bases of 404345942
- Binary: 110000001100111010100010101102
- Hexadecimal: 0x1819D456
- Base-36: 6OQJBQ
Squares and roots of 404345942
- 404345942 squared (4043459422) is 163495640811867364
- 404345942 cubed (4043459423) is 66108798896968154075636888
-
The
square root of 404345942 is 20108.3550296885 -
The
cube root of 404345942 is 739.4651248051
Scales and comparisons
How big is 404345942?- 404,345,942 seconds is equal to 12 years, 44 weeks, 3 days, 22 hours, 19 minutes, 2 seconds.
-
To count from 1 to 404,345,942 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 404345942 cubic inches would be around 61.6 feet tall.
Recreational maths with 404345942
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