Search a number
-
+
416460131 is a prime number
BaseRepresentation
bin11000110100101…
…010110101100011
31002000122100220022
4120310222311203
51323103211011
6105154104055
713214565323
oct3064526543
91060570808
10416460131
111a409872a
12b757b02b
1368385719
143d44b283
15268658db
hex18d2ad63

416460131 has 2 divisors, whose sum is σ = 416460132. Its totient is φ = 416460130.

The previous prime is 416460127. The next prime is 416460133. The reversal of 416460131 is 131064614.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 416460131 - 22 = 416460127 is a prime.

It is a super-2 number, since 2×4164601312 = 346878081425074322, which contains 22 as substring.

Together with 416460133, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 416460131.

It is not a weakly prime, because it can be changed into another prime (416460133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208230065 + 208230066.

It is an arithmetic number, because the mean of its divisors is an integer number (208230066).

Almost surely, 2416460131 is an apocalyptic number.

416460131 is a deficient number, since it is larger than the sum of its proper divisors (1).

416460131 is an equidigital number, since it uses as much as digits as its factorization.

416460131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 416460131 is about 20407.3548261405. The cubic root of 416460131 is about 746.7773613742. Note that the first 3 decimals are identical.

The spelling of 416460131 in words is "four hundred sixteen million, four hundred sixty thousand, one hundred thirty-one".