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14442144 = 253150439
BaseRepresentation
bin110111000101…
…111010100000
31000011201220020
4313011322200
512144122034
61233313440
7233520243
oct67057240
930151806
1014442144
118174662
124a05880
132cb8762
141cbd25a
151404249
hexdc5ea0

14442144 has 24 divisors (see below), whose sum is σ = 37910880. Its totient is φ = 4814016.

The previous prime is 14442121. The next prime is 14442151. The reversal of 14442144 is 44124441.

It is a happy number.

14442144 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 a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 75124 + ... + 75315.

It is an arithmetic number, because the mean of its divisors is an integer number (1579620).

Almost surely, 214442144 is an apocalyptic number.

It is an amenable number.

14442144 is an abundant number, since it is smaller than the sum of its proper divisors (23468736).

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

14442144 is a wasteful number, since it uses less digits than its factorization.

14442144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150452 (or 150444 counting only the distinct ones).

The product of its digits is 2048, while the sum is 24.

The square root of 14442144 is about 3800.2820947924. The cubic root of 14442144 is about 243.5251896972.

Adding to 14442144 its reverse (44124441), we get a palindrome (58566585).

The spelling of 14442144 in words is "fourteen million, four hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 150439 300878 451317 601756 902634 1203512 1805268 2407024 3610536 4814048 7221072 14442144