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414627133 is a prime number
BaseRepresentation
bin11000101101101…
…011010100111101
31001220012020111111
4120231223110331
51322121032013
6105050522021
713163162314
oct3055532475
91056166444
10414627133
111a3056558
12b6a36311
1367b932cb
143d0d127b
152660273d
hex18b6b53d

414627133 has 2 divisors, whose sum is σ = 414627134. Its totient is φ = 414627132.

The previous prime is 414627121. The next prime is 414627211. The reversal of 414627133 is 331726414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 380952324 + 33674809 = 19518^2 + 5803^2 .

It is a cyclic number.

It is not a de Polignac number, because 414627133 - 225 = 381072701 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 414627095 and 414627104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414621133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207313566 + 207313567.

It is an arithmetic number, because the mean of its divisors is an integer number (207313567).

Almost surely, 2414627133 is an apocalyptic number.

It is an amenable number.

414627133 is a deficient number, since it is larger than the sum of its proper divisors (1).

414627133 is an equidigital number, since it uses as much as digits as its factorization.

414627133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12096, while the sum is 31.

The square root of 414627133 is about 20362.3950703251. The cubic root of 414627133 is about 745.6801338166.

The spelling of 414627133 in words is "four hundred fourteen million, six hundred twenty-seven thousand, one hundred thirty-three".