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14281884414 = 233737782763
BaseRepresentation
bin11010100110100010…
…00100001011111110
31100212022212220022000
431103101010023332
5213222130300124
610321102203130
71013630004660
oct152321041376
940768786260
1014281884414
11606982a166
122926b834a6
131467b361a5
14996ad2530
15588c646c9
hex3534442fe

14281884414 has 32 divisors (see below), whose sum is σ = 36271453440. Its totient is φ = 4080538296.

The previous prime is 14281884403. The next prime is 14281884443. The reversal of 14281884414 is 41448818241.

It is a happy number.

14281884414 is a `hidden beast` number, since 1 + 4 + 28 + 188 + 441 + 4 = 666.

14281884414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×142818844142 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14281884414.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 18891004 + ... + 18891759.

It is an arithmetic number, because the mean of its divisors is an integer number (1133482920).

Almost surely, 214281884414 is an apocalyptic number.

14281884414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

14281884414 is an abundant number, since it is smaller than the sum of its proper divisors (21989569026).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14281884414 is a wasteful number, since it uses less digits than its factorization.

14281884414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37782781 (or 37782775 counting only the distinct ones).

The product of its digits is 262144, while the sum is 45.

The spelling of 14281884414 in words is "fourteen billion, two hundred eighty-one million, eight hundred eighty-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 37782763 75565526 113348289 226696578 264479341 340044867 528958682 680089734 793438023 1020134601 1586876046 2040269202 2380314069 4760628138 7140942207 14281884414