Search a number
-
+
12414420329 is a prime number
BaseRepresentation
bin10111000111111010…
…10000010101101001
31012001011220220011112
423203331100111221
5200411042422304
65411512040105
7616432555163
oct134375202551
935034826145
1012414420329
1152a0686813
1224a5693035
13122ac8495c
1485aa97933
154c9d31b6e
hex2e3f50569

12414420329 has 2 divisors, whose sum is σ = 12414420330. Its totient is φ = 12414420328.

The previous prime is 12414420287. The next prime is 12414420331. The reversal of 12414420329 is 92302441421.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7677264400 + 4737155929 = 87620^2 + 68827^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12414420329 is a prime.

Together with 12414420331, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 12414420295 and 12414420304.

It is not a weakly prime, because it can be changed into another prime (12414420349) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6207210164 + 6207210165.

It is an arithmetic number, because the mean of its divisors is an integer number (6207210165).

Almost surely, 212414420329 is an apocalyptic number.

It is an amenable number.

12414420329 is a deficient number, since it is larger than the sum of its proper divisors (1).

12414420329 is an equidigital number, since it uses as much as digits as its factorization.

12414420329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 12414420329 in words is "twelve billion, four hundred fourteen million, four hundred twenty thousand, three hundred twenty-nine".