Search a number
-
+
414312391 is a prime number
BaseRepresentation
bin11000101100011…
…110011111000111
31001212121020202101
4120230132133013
51322030444031
6105040052531
713160411563
oct3054363707
91055536671
10414312391
111a2961039
12b6904147
1367ab2c7c
143d04c6a3
152658e361
hex18b1e7c7

414312391 has 2 divisors, whose sum is σ = 414312392. Its totient is φ = 414312390.

The previous prime is 414312377. The next prime is 414312413. The reversal of 414312391 is 193213414.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 414312391 - 25 = 414312359 is a prime.

It is a super-2 number, since 2×4143123912 = 343309514672273762, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414312331) 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, 207156195 + 207156196.

It is an arithmetic number, because the mean of its divisors is an integer number (207156196).

Almost surely, 2414312391 is an apocalyptic number.

414312391 is a deficient number, since it is larger than the sum of its proper divisors (1).

414312391 is an equidigital number, since it uses as much as digits as its factorization.

414312391 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2592, while the sum is 28.

The square root of 414312391 is about 20354.6650918162. The cubic root of 414312391 is about 745.4914049974.

The spelling of 414312391 in words is "four hundred fourteen million, three hundred twelve thousand, three hundred ninety-one".