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414450441 = 3246050049
BaseRepresentation
bin11000101101000…
…000001100001001
31001212212021010100
4120231000030021
51322044403231
6105043040013
713161525216
oct3055001411
91055767110
10414450441
111a2a45829
12b6970009
1367b30a62
143d086b0d
15265ba1e6
hex18b40309

414450441 has 6 divisors (see below), whose sum is σ = 598650650. Its totient is φ = 276300288.

The previous prime is 414450437. The next prime is 414450461. The reversal of 414450441 is 144054414.

It can be written as a sum of positive squares in only one way, i.e., 272745225 + 141705216 = 16515^2 + 11904^2 .

It is not a de Polignac number, because 414450441 - 22 = 414450437 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414450461) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23025016 + ... + 23025033.

Almost surely, 2414450441 is an apocalyptic number.

It is an amenable number.

414450441 is a deficient number, since it is larger than the sum of its proper divisors (184200209).

414450441 is a wasteful number, since it uses less digits than its factorization.

414450441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46050055 (or 46050052 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 414450441 is about 20358.0559238843. The cubic root of 414450441 is about 745.5741957147.

The spelling of 414450441 in words is "four hundred fourteen million, four hundred fifty thousand, four hundred forty-one".

Divisors: 1 3 9 46050049 138150147 414450441