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14032322323041 = 3112336775027987
BaseRepresentation
bin1100110000110010011110…
…0101100110001001100001
31211200110212200002002110010
43030030213211212021201
53314401144003314131
645502205422355133
72645542012513401
oct314144745461141
954613780062403
1014032322323041
114520090147360
1216a768442baa9
137aa31c4a8a99
1436724d0b6801
1519502d857b46
hexcc327966261

14032322323041 has 32 divisors (see below), whose sum is σ = 21303866723328. Its totient is φ = 8132465675840.

The previous prime is 14032322323027. The next prime is 14032322323051.

It is a happy number.

14032322323041 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14032322323041 - 27 = 14032322322913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14032322323051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276850 + ... + 5304836.

It is an arithmetic number, because the mean of its divisors is an integer number (665745835104).

Almost surely, 214032322323041 is an apocalyptic number.

14032322323041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14032322323041 is a deficient number, since it is larger than the sum of its proper divisors (7271544400287).

14032322323041 is a wasteful number, since it uses less digits than its factorization.

14032322323041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5031701.

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 1403232 and 2323041, that added together give a palindrome (3726273).

The spelling of 14032322323041 in words is "fourteen trillion, thirty-two billion, three hundred twenty-two million, three hundred twenty-three thousand, forty-one".

Divisors: 1 3 11 23 33 69 253 759 3677 11031 40447 84571 121341 253713 930281 2790843 5027987 15083961 55307857 115643701 165923571 346931103 1272080711 3816242133 18487908199 55463724597 203366990189 425221888577 610100970567 1275665665731 4677440774347 14032322323041