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14141664 = 253249103
BaseRepresentation
bin110101111100…
…100011100000
3222121110201100
4311330203200
512110013124
61223034400
7231126225
oct65744340
928543640
1014141664
117a89929
12489ba00
132c11a64
141c4194c
1513951c9
hexd7c8e0

14141664 has 36 divisors (see below), whose sum is σ = 40216176. Its totient is φ = 4713792.

The previous prime is 14141641. The next prime is 14141683. The reversal of 14141664 is 46614141.

14141664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24264 + ... + 24839.

It is an arithmetic number, because the mean of its divisors is an integer number (1117116).

Almost surely, 214141664 is an apocalyptic number.

It is an amenable number.

14141664 is an abundant number, since it is smaller than the sum of its proper divisors (26074512).

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

14141664 is a wasteful number, since it uses less digits than its factorization.

14141664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49119 (or 49108 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 14141664 is about 3760.5403866998. The cubic root of 14141664 is about 241.8244292649.

The spelling of 14141664 in words is "fourteen million, one hundred forty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 49103 98206 147309 196412 294618 392824 441927 589236 785648 883854 1178472 1571296 1767708 2356944 3535416 4713888 7070832 14141664