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417401431 is a prime number
BaseRepresentation
bin11000111000010…
…000101001010111
31002002102012010021
4120320100221113
51323323321211
6105230210011
713225565536
oct3070205127
91062365107
10417401431
111a4680967
12b7953907
1368624cc5
143d61431d
152699e771
hex18e10a57

417401431 has 2 divisors, whose sum is σ = 417401432. Its totient is φ = 417401430.

The previous prime is 417401393. The next prime is 417401441. The reversal of 417401431 is 134104714.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-417401431 is a prime.

It is a super-2 number, since 2×4174014312 = 348447909201695522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 417401396 and 417401405.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (417401441) 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, 208700715 + 208700716.

It is an arithmetic number, because the mean of its divisors is an integer number (208700716).

Almost surely, 2417401431 is an apocalyptic number.

417401431 is a deficient number, since it is larger than the sum of its proper divisors (1).

417401431 is an equidigital number, since it uses as much as digits as its factorization.

417401431 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 417401431 is about 20430.4045725972. The cubic root of 417401431 is about 747.3395701240.

The spelling of 417401431 in words is "four hundred seventeen million, four hundred one thousand, four hundred thirty-one".