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14544144 = 2433131257
BaseRepresentation
bin110111011110…
…110100010000
31000100220211000
4313132310100
512210403034
61235422000
7234423516
oct67366420
930326730
1014544144
11823425a
124a54900
133023004
141d084b6
151424599
hexdded10

14544144 has 80 divisors (see below), whose sum is σ = 42229440. Its totient is φ = 4792320.

The previous prime is 14544143. The next prime is 14544157. The reversal of 14544144 is 44144541.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14544143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56464 + ... + 56720.

It is an arithmetic number, because the mean of its divisors is an integer number (527868).

Almost surely, 214544144 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 14544144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21114720).

14544144 is an abundant number, since it is smaller than the sum of its proper divisors (27685296).

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

14544144 is a wasteful number, since it uses less digits than its factorization.

14544144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 393 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 14544144 is about 3813.6785391535. The cubic root of 14544144 is about 244.0971574024.

Adding to 14544144 its reverse (44144541), we get a palindrome (58688685).

The spelling of 14544144 in words is "fourteen million, five hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 131 144 216 257 262 393 432 514 524 771 786 1028 1048 1179 1542 1572 2056 2096 2313 2358 3084 3144 3537 4112 4626 4716 6168 6288 6939 7074 9252 9432 12336 13878 14148 18504 18864 27756 28296 33667 37008 55512 56592 67334 101001 111024 134668 202002 269336 303003 404004 538672 606006 808008 909009 1212012 1616016 1818018 2424024 3636036 4848048 7272072 14544144