Search a number
-
+
456313214219 is a prime number
BaseRepresentation
bin1101010001111100110…
…00110001010100001011
31121121211020211001102112
412220332120301110023
524434012140323334
6545343303452535
744652603216062
oct6507630612413
91547736731375
10456313214219
11166580a05765
127452a45714b
1334051320485
141812b1551d9
15bd0a6454ce
hex6a3e63150b

456313214219 has 2 divisors, whose sum is σ = 456313214220. Its totient is φ = 456313214218.

The previous prime is 456313214179. The next prime is 456313214233. The reversal of 456313214219 is 912412313654.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 456313214219 - 236 = 387593737483 is a prime.

It is a super-2 number, since 2×4563132142192 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (456313204219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228156607109 + 228156607110.

It is an arithmetic number, because the mean of its divisors is an integer number (228156607110).

Almost surely, 2456313214219 is an apocalyptic number.

456313214219 is a deficient number, since it is larger than the sum of its proper divisors (1).

456313214219 is an equidigital number, since it uses as much as digits as its factorization.

456313214219 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 155520, while the sum is 41.

The spelling of 456313214219 in words is "four hundred fifty-six billion, three hundred thirteen million, two hundred fourteen thousand, two hundred nineteen".