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14111400111 = 3192113115309
BaseRepresentation
bin11010010010001101…
…01110000010101111
31100102110002101210120
431021012232002233
5212400004300421
610252132140023
71006456631124
oct151106560257
940373071716
1014111400111
115a91576846
122899a67613
13143b7145c3
1497c1d474b
15578cda8c6
hex3491ae0af

14111400111 has 24 divisors (see below), whose sum is σ = 20033498160. Its totient is φ = 8833515264.

The previous prime is 14111400101. The next prime is 14111400139. The reversal of 14111400111 is 11100411141.

14111400111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14111400111 - 233 = 5521465519 is a prime.

It is a super-2 number, since 2×141114001112 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14111400101) 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 23 ways as a sum of consecutive naturals, for example, 64725 + ... + 180033.

It is an arithmetic number, because the mean of its divisors is an integer number (834729090).

Almost surely, 214111400111 is an apocalyptic number.

14111400111 is a deficient number, since it is larger than the sum of its proper divisors (5922098049).

14111400111 is a wasteful number, since it uses less digits than its factorization.

14111400111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115463 (or 115444 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 14111400111 its reverse (11100411141), we get a palindrome (25211811252).

The spelling of 14111400111 in words is "fourteen billion, one hundred eleven million, four hundred thousand, one hundred eleven".

Divisors: 1 3 19 57 113 339 361 1083 2147 6441 40793 115309 122379 345927 2190871 6572613 13029917 39089751 41626549 124879647 247568423 742705269 4703800037 14111400111