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413456121 = 32133533813
BaseRepresentation
bin11000101001001…
…101011011111001
31001210222202011200
4120221031123321
51321321043441
6105005444413
713150214301
oct3051153371
91053882150
10413456121
111a2426781
12b6570709
13678732c0
143cca8601
15264707b6
hex18a4d6f9

413456121 has 12 divisors (see below), whose sum is σ = 643154148. Its totient is φ = 254434464.

The previous prime is 413456107. The next prime is 413456123. The reversal of 413456121 is 121654314.

It is a happy number.

413456121 is a `hidden beast` number, since 4 + 1 + 3 + 45 + 612 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 181198521 + 232257600 = 13461^2 + 15240^2 .

It is not a de Polignac number, because 413456121 - 25 = 413456089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (413456123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1766790 + ... + 1767023.

It is an arithmetic number, because the mean of its divisors is an integer number (53596179).

Almost surely, 2413456121 is an apocalyptic number.

It is an amenable number.

413456121 is a deficient number, since it is larger than the sum of its proper divisors (229698027).

413456121 is a wasteful number, since it uses less digits than its factorization.

413456121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3533832 (or 3533829 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 413456121 is about 20333.6204597214. The cubic root of 413456121 is about 744.9774754087.

The spelling of 413456121 in words is "four hundred thirteen million, four hundred fifty-six thousand, one hundred twenty-one".

Divisors: 1 3 9 13 39 117 3533813 10601439 31804317 45939569 137818707 413456121