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418145317 is a prime number
BaseRepresentation
bin11000111011000…
…110010000100101
31002010210222112121
4120323012100211
51324021122232
6105254145541
713235114362
oct3073062045
91063728477
10418145317
111a5039847
12b80522b1
1368825785
143d769469
1526a99d97
hex18ec6425

418145317 has 2 divisors, whose sum is σ = 418145318. Its totient is φ = 418145316.

The previous prime is 418145291. The next prime is 418145327. The reversal of 418145317 is 713541814.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 238424481 + 179720836 = 15441^2 + 13406^2 .

It is a cyclic number.

It is not a de Polignac number, because 418145317 - 211 = 418143269 is a prime.

It is a super-2 number, since 2×4181453172 = 349691012258060978, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (418145327) by changing a digit.

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 as a sum of consecutive naturals, namely, 209072658 + 209072659.

It is an arithmetic number, because the mean of its divisors is an integer number (209072659).

Almost surely, 2418145317 is an apocalyptic number.

It is an amenable number.

418145317 is a deficient number, since it is larger than the sum of its proper divisors (1).

418145317 is an equidigital number, since it uses as much as digits as its factorization.

418145317 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13440, while the sum is 34.

The square root of 418145317 is about 20448.6018348444. The cubic root of 418145317 is about 747.7832720930.

The spelling of 418145317 in words is "four hundred eighteen million, one hundred forty-five thousand, three hundred seventeen".