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14244566544241 = 111790918379073
BaseRepresentation
bin1100111101001001001001…
…0101000010111101110001
31212102202201100000122210121
43033102102111002331301
53331340333013403431
650143510304530241
73000064431600325
oct317222225027561
955382640018717
1014244566544241
1145a20a5506130
121720838620981
137c434542aa57
143736253c9985
1519a801bde611
hexcf492542f71

14244566544241 has 16 divisors (see below), whose sum is σ = 16455428814528. Its totient is φ = 12186522316800.

The previous prime is 14244566544227. The next prime is 14244566544251.

14244566544241 is nontrivially palindromic in base 10.

14244566544241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-14244566544241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14244566544251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2489520 + ... + 5889553.

It is an arithmetic number, because the mean of its divisors is an integer number (1028464300908).

Almost surely, 214244566544241 is an apocalyptic number.

14244566544241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14244566544241 is a deficient number, since it is larger than the sum of its proper divisors (2210862270287).

14244566544241 is a wasteful number, since it uses less digits than its factorization.

14244566544241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8388192.

The product of its digits is 14745600, while the sum is 52.

It can be divided in two parts, 1424456 and 6544241, that added together give a palindrome (7968697).

The spelling of 14244566544241 in words is "fourteen trillion, two hundred forty-four billion, five hundred sixty-six million, five hundred forty-four thousand, two hundred forty-one".

Divisors: 1 11 17 187 9091 100001 154547 1700017 8379073 92169803 142444241 1566886651 76174152643 837915679073 1294960594931 14244566544241