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414305045 = 57211179043
BaseRepresentation
bin11000101100011…
…100101100010101
31001212120212200022
4120230130230111
51322030230140
6105035554525
713160351300
oct3054345425
91055525608
10414305045
111a2956570
12b68bba45
1367aac81b
143d049b37
152658c0b5
hex18b1cb15

414305045 has 48 divisors (see below), whose sum is σ = 668098368. Its totient is φ = 243048960.

The previous prime is 414305039. The next prime is 414305053. The reversal of 414305045 is 540503414.

It is not a de Polignac number, because 414305045 - 26 = 414304981 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41294 + ... + 50336.

It is an arithmetic number, because the mean of its divisors is an integer number (13918716).

Almost surely, 2414305045 is an apocalyptic number.

It is an amenable number.

414305045 is a deficient number, since it is larger than the sum of its proper divisors (253793323).

414305045 is a wasteful number, since it uses less digits than its factorization.

414305045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9090 (or 9083 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 414305045 is about 20354.4846409827. The cubic root of 414305045 is about 745.4869989724.

Adding to 414305045 its reverse (540503414), we get a palindrome (954808459).

The spelling of 414305045 in words is "four hundred fourteen million, three hundred five thousand, forty-five".

Divisors: 1 5 7 11 17 35 49 55 77 85 119 187 245 385 539 595 833 935 1309 2695 4165 6545 9043 9163 45215 45815 63301 99473 153731 316505 443107 497365 696311 768655 1076117 1691041 2215535 3481555 4874177 5380585 7532819 8455205 11837287 24370885 37664095 59186435 82861009 414305045