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14444112 = 2431132663
BaseRepresentation
bin110111000110…
…011001010000
31000011211121010
4313012121100
512144202422
61233330520
7233526054
oct67063120
930154533
1014444112
118176091
124a06a40
132cb9617
141cbdc64
151404b0c
hexdc6650

14444112 has 40 divisors (see below), whose sum is σ = 37658304. Its totient is φ = 4770304.

The previous prime is 14444107. The next prime is 14444113. The reversal of 14444112 is 21144441.

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

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14444113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4093 + ... + 6755.

Almost surely, 214444112 is an apocalyptic number.

14444112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14444112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18829152).

14444112 is an abundant number, since it is smaller than the sum of its proper divisors (23214192).

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

14444112 is a wasteful number, since it uses less digits than its factorization.

14444112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2787 (or 2781 counting only the distinct ones).

The product of its digits is 512, while the sum is 21.

The square root of 14444112 is about 3800.5410141189. The cubic root of 14444112 is about 243.5362507466.

Adding to 14444112 its reverse (21144441), we get a palindrome (35588553).

It can be divided in two parts, 144441 and 12, that added together give a triangular number (144453 = T537).

The spelling of 14444112 in words is "fourteen million, four hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 226 339 452 678 904 1356 1808 2663 2712 5326 5424 7989 10652 15978 21304 31956 42608 63912 127824 300919 601838 902757 1203676 1805514 2407352 3611028 4814704 7222056 14444112