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14144 = 261317
BaseRepresentation
bin11011101000000
3201101212
43131000
5423034
6145252
756144
oct33500
921355
1014144
11a699
128228
136590
145224
1542ce
hex3740

14144 has 28 divisors (see below), whose sum is σ = 32004. Its totient is φ = 6144.

The previous prime is 14143. The next prime is 14149. The reversal of 14144 is 44141.

14144 = T32 + T33 + ... + T48.

14144 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 2 ways, for example, as 6400 + 7744 = 80^2 + 88^2 .

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (64) is a multiple of the sum of its prime divisors (32).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 14144.

It is not an unprimeable number, because it can be changed into a prime (14143) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 824 + ... + 840.

It is an arithmetic number, because the mean of its divisors is an integer number (1143).

214144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16002).

14144 is an abundant number, since it is smaller than the sum of its proper divisors (17860).

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

14144 is a wasteful number, since it uses less digits than its factorization.

14144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 32 counting only the distinct ones).

The product of its digits is 64, while the sum is 14.

The square root of 14144 is about 118.9285499785. The cubic root of 14144 is about 24.1837743841.

Adding to 14144 its reverse (44141), we get a palindrome (58285).

It can be divided in two parts, 14 and 144, that multiplied together give a triangular number (2016 = T63).

The spelling of 14144 in words is "fourteen thousand, one hundred forty-four", and thus it is an iban number.

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 136 208 221 272 416 442 544 832 884 1088 1768 3536 7072 14144