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14046544564041 = 3111747909126801
BaseRepresentation
bin1100110001100111011101…
…0011001000111101001001
31211201211120211201210100210
43030121313103020331021
53320114310402022131
645512520554351333
72646554316541023
oct314316723107511
954654524653323
1014046544564041
114526119239540
1216aa39342b549
137ab777b5b3c2
14367bdbcc1013
151955b223a146
hexcc6774c8f49

14046544564041 has 32 divisors (see below), whose sum is σ = 20446044212736. Its totient is φ = 8506931040000.

The previous prime is 14046544564037. The next prime is 14046544564057.

14046544564041 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14046544564041 - 22 = 14046544564037 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14046544564141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 524091841 + ... + 524118641.

It is an arithmetic number, because the mean of its divisors is an integer number (638938881648).

Almost surely, 214046544564041 is an apocalyptic number.

14046544564041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14046544564041 is a deficient number, since it is larger than the sum of its proper divisors (6399499648695).

14046544564041 is a wasteful number, since it uses less digits than its factorization.

14046544564041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37653.

The product of its (nonzero) digits is 3686400, while the sum is 48.

It can be divided in two parts, 1404654 and 4564041, that added together give a palindrome (5968695).

The spelling of 14046544564041 in words is "fourteen trillion, forty-six billion, five hundred forty-four million, five hundred sixty-four thousand, forty-one".

Divisors: 1 3 11 33 1747 5241 9091 19217 26801 27273 57651 80403 100001 294811 300003 884433 15881977 46821347 47645931 140464041 174701747 243647891 515034817 524105241 730943673 1545104451 2680126801 8040380403 425652865577 1276958596731 4682181521347 14046544564041