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14424144 = 243742929
BaseRepresentation
bin110111000001…
…100001010000
31000010211012120
4313001201100
512143033034
61233054240
7233413620
oct67014120
930124176
1014424144
118162089
1249b7380
132cb04c7
141cb6880
1513edc49
hexdc1850

14424144 has 40 divisors (see below), whose sum is σ = 42586560. Its totient is φ = 4121088.

The previous prime is 14424139. The next prime is 14424181. The reversal of 14424144 is 44142441.

It is a happy number.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21129 + ... + 21800.

It is an arithmetic number, because the mean of its divisors is an integer number (1064664).

Almost surely, 214424144 is an apocalyptic number.

14424144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14424144 is an abundant number, since it is smaller than the sum of its proper divisors (28162416).

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

14424144 is a wasteful number, since it uses less digits than its factorization.

14424144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42947 (or 42941 counting only the distinct ones).

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

The square root of 14424144 is about 3797.9131111704. The cubic root of 14424144 is about 243.4239749056.

Adding to 14424144 its reverse (44142441), we get a palindrome (58566585).

The spelling of 14424144 in words is "fourteen million, four hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 42929 85858 128787 171716 257574 300503 343432 515148 601006 686864 901509 1030296 1202012 1803018 2060592 2404024 3606036 4808048 7212072 14424144