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14334847696 = 241325301349
BaseRepresentation
bin11010101100110110…
…00110101011010000
31101000000112201021001
431112123012223100
5213324210111241
610330233311344
71015142123611
oct152633065320
941000481231
1014334847696
116096714274
122940865554
131475abb300
1499db5bc08
1558d727431
hex3566c6ad0

14334847696 has 30 divisors (see below), whose sum is σ = 30074558550. Its totient is φ = 6616082304.

The previous prime is 14334847691. The next prime is 14334847757. The reversal of 14334847696 is 69674843341.

14334847696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 69889600 + 14264958096 = 8360^2 + 119436^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14334847691) 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 in 5 ways as a sum of consecutive naturals, for example, 2647971 + ... + 2653378.

It is an arithmetic number, because the mean of its divisors is an integer number (1002485285).

Almost surely, 214334847696 is an apocalyptic number.

14334847696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14334847696 is an abundant number, since it is smaller than the sum of its proper divisors (15739710854).

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

14334847696 is a wasteful number, since it uses less digits than its factorization.

14334847696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5301383 (or 5301364 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 55.

The spelling of 14334847696 in words is "fourteen billion, three hundred thirty-four million, eight hundred forty-seven thousand, six hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 5301349 10602698 21205396 42410792 68917537 84821584 137835074 275670148 551340296 895927981 1102680592 1791855962 3583711924 7167423848 14334847696