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14314120326 = 2321117194153103
BaseRepresentation
bin11010101010011000…
…00010010010000110
31100221120112122122200
431111030002102012
5213303403322301
610324213135330
71014501005142
oct152514022206
940846478580
1014314120326
116085a47510
12293592a546
131471711aac
1499b0c4222
1558b9d0c86
hex355302486

14314120326 has 384 divisors, whose sum is σ = 39739714560. Its totient is φ = 3666124800.

The previous prime is 14314120283. The next prime is 14314120333. The reversal of 14314120326 is 62302141341.

It is a happy number.

14314120326 is a `hidden beast` number, since 1 + 4 + 314 + 1 + 20 + 326 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 14314120326.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 138971991 + ... + 138972093.

It is an arithmetic number, because the mean of its divisors is an integer number (103488840).

Almost surely, 214314120326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14314120326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19869857280).

14314120326 is an abundant number, since it is smaller than the sum of its proper divisors (25425594234).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14314120326 is a wasteful number, since it uses less digits than its factorization.

14314120326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 14314120326 its reverse (62302141341), we get a palindrome (76616261667).

The spelling of 14314120326 in words is "fourteen billion, three hundred fourteen million, one hundred twenty thousand, three hundred twenty-six".