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214124202414 = 232108869109267
BaseRepresentation
bin1100011101101011001…
…1000000100110101110
3202110200200110111202100
43013122303000212232
512002011243434124
6242211200435530
721320124455463
oct3073263004656
9673620414670
10214124202414
118289a591561
12355b9918ba6
13172655969b5
14a513c8966a
15588343d1c9
hex31dacc09ae

214124202414 has 24 divisors (see below), whose sum is σ = 463944279240. Its totient is φ = 71373425328.

The previous prime is 214124202407. The next prime is 214124202433. The reversal of 214124202414 is 414202421412.

214124202414 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 242 + 0 + 2 + 414 = 666.

214124202414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1905009 + ... + 2014275.

It is an arithmetic number, because the mean of its divisors is an integer number (19331011635).

Almost surely, 2214124202414 is an apocalyptic number.

214124202414 is an abundant number, since it is smaller than the sum of its proper divisors (249820076826).

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

214124202414 is a wasteful number, since it uses less digits than its factorization.

214124202414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218144 (or 218141 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 214124202414 its reverse (414202421412), we get a palindrome (628326623826).

The spelling of 214124202414 in words is "two hundred fourteen billion, one hundred twenty-four million, two hundred two thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 108869 109267 217738 218534 326607 327801 653214 655602 979821 983403 1959642 1966806 11895789023 23791578046 35687367069 71374734138 107062101207 214124202414