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14100144 = 2431671759
BaseRepresentation
bin110101110010…
…011010110000
3222112100202120
4311302122300
512102201034
61222114240
7230564202
oct65623260
928470676
1014100144
117a60713
12487b980
132bc8ba6
141c30772
151387c49
hexd726b0

14100144 has 40 divisors (see below), whose sum is σ = 36664320. Its totient is φ = 4669248.

The previous prime is 14100143. The next prime is 14100161. The reversal of 14100144 is 44100141.

Adding to 14100144 its reverse (44100141), we get a palindrome (58200285).

14100144 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (14100143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7137 + ... + 8895.

It is an arithmetic number, because the mean of its divisors is an integer number (916608).

Almost surely, 214100144 is an apocalyptic number.

It is an amenable number.

14100144 is an abundant number, since it is smaller than the sum of its proper divisors (22564176).

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

14100144 is a wasteful number, since it uses less digits than its factorization.

14100144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1937 (or 1931 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 14100144 is about 3755.0158455058. The cubic root of 14100144 is about 241.5875313361.

The spelling of 14100144 in words is "fourteen million, one hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 167 334 501 668 1002 1336 1759 2004 2672 3518 4008 5277 7036 8016 10554 14072 21108 28144 42216 84432 293753 587506 881259 1175012 1762518 2350024 3525036 4700048 7050072 14100144