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414463145 = 51711534229
BaseRepresentation
bin11000101101000…
…011010010101001
31001212212220112212
4120231003102221
51322100310040
6105043214505
713161610235
oct3055032251
91055786485
10414463145
111a2a54328
12b6977435
1367b36785
143d08b5c5
15265bdd65
hex18b434a9

414463145 has 16 divisors (see below), whose sum is σ = 527193360. Its totient is φ = 311721984.

The previous prime is 414463079. The next prime is 414463199. The reversal of 414463145 is 541364414.

It can be written as a sum of positive squares in 8 ways, for example, as 129663769 + 284799376 = 11387^2 + 16876^2 .

It is a cyclic number.

It is not a de Polignac number, because 414463145 - 214 = 414446761 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95891 + ... + 100119.

It is an arithmetic number, because the mean of its divisors is an integer number (32949585).

Almost surely, 2414463145 is an apocalyptic number.

It is an amenable number.

414463145 is a deficient number, since it is larger than the sum of its proper divisors (112730215).

414463145 is a wasteful number, since it uses less digits than its factorization.

414463145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5404.

The product of its digits is 23040, while the sum is 32.

The square root of 414463145 is about 20358.3679355689. The cubic root of 414463145 is about 745.5818135759.

The spelling of 414463145 in words is "four hundred fourteen million, four hundred sixty-three thousand, one hundred forty-five".

Divisors: 1 5 17 85 1153 4229 5765 19601 21145 71893 98005 359465 4876037 24380185 82892629 414463145