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14111141 = 112139839
BaseRepresentation
bin110101110101…
…000110100101
3222112220211212
4311311012211
512103024031
61222241205
7230641232
oct65650645
928486755
1014111141
117a68a00
124886205
132c00bb5
141c34789
15138b12b
hexd751a5

14111141 has 12 divisors (see below), whose sum is σ = 15640800. Its totient is φ = 12720840.

The previous prime is 14111131. The next prime is 14111143.

14111141 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14111141 - 214 = 14094757 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14111143) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 16400 + ... + 17238.

It is an arithmetic number, because the mean of its divisors is an integer number (1303400).

Almost surely, 214111141 is an apocalyptic number.

14111141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14111141 is a deficient number, since it is larger than the sum of its proper divisors (1529659).

14111141 is a wasteful number, since it uses less digits than its factorization.

14111141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 989 counting only the distinct ones).

The product of its digits is 16, while the sum is 14.

The square root of 14111141 is about 3756.4798681745. The cubic root of 14111141 is about 241.6503214206.

It can be divided in two parts, 1411 and 1141, that added together give a palindrome (2552).

The spelling of 14111141 in words is "fourteen million, one hundred eleven thousand, one hundred forty-one".

Divisors: 1 11 121 139 839 1529 9229 16819 101519 116621 1282831 14111141