Search a number
-
+
336123305249 is a prime number
BaseRepresentation
bin1001110010000101000…
…00101001110100100001
31012010121000022001210112
410321002200221310201
521001340031231444
6414225104541105
733166306645154
oct4710240516441
91163530261715
10336123305249
1111a604930186
1255187021795
13259089a2c44
14123a88d5c9b
158b23b7a69e
hex4e42829d21

336123305249 has 2 divisors, whose sum is σ = 336123305250. Its totient is φ = 336123305248.

The previous prime is 336123305237. The next prime is 336123305251. The reversal of 336123305249 is 942503321633.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 257625274624 + 78498030625 = 507568^2 + 280175^2 .

It is a cyclic number.

It is not a de Polignac number, because 336123305249 - 24 = 336123305233 is a prime.

It is a super-2 number, since 2×3361233052492 (a number of 24 digits) contains 22 as substring.

Together with 336123305251, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (336123385249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 168061652624 + 168061652625.

It is an arithmetic number, because the mean of its divisors is an integer number (168061652625).

Almost surely, 2336123305249 is an apocalyptic number.

It is an amenable number.

336123305249 is a deficient number, since it is larger than the sum of its proper divisors (1).

336123305249 is an equidigital number, since it uses as much as digits as its factorization.

336123305249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 349920, while the sum is 41.

The spelling of 336123305249 in words is "three hundred thirty-six billion, one hundred twenty-three million, three hundred five thousand, two hundred forty-nine".