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14042016 = 253248757
BaseRepresentation
bin110101100100…
…001110100000
3222102102000200
4311210032200
512043321031
61220545200
7230232552
oct65441640
928372020
1014042016
117a20a7a
124852200
132ba85b1
141c174d2
1513758e6
hexd643a0

14042016 has 36 divisors (see below), whose sum is σ = 39932802. Its totient is φ = 4680576.

The previous prime is 14041997. The next prime is 14042033. The reversal of 14042016 is 61024041.

It can be written as a sum of positive squares in only one way, i.e., 13395600 + 646416 = 3660^2 + 804^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 14042016.

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, 24091 + ... + 24666.

Almost surely, 214042016 is an apocalyptic number.

14042016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14042016 is an abundant number, since it is smaller than the sum of its proper divisors (25890786).

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

14042016 is a wasteful number, since it uses less digits than its factorization.

14042016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48773 (or 48762 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 14042016 is about 3747.2678046812. The cubic root of 14042016 is about 241.2550916623.

Adding to 14042016 its reverse (61024041), we get a palindrome (75066057).

The spelling of 14042016 in words is "fourteen million, forty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 48757 97514 146271 195028 292542 390056 438813 585084 780112 877626 1170168 1560224 1755252 2340336 3510504 4680672 7021008 14042016