Search a number
-
+
14044128 = 253720899
BaseRepresentation
bin110101100100…
…101111100000
3222102111220220
4311210233200
512043403003
61221003040
7230241660
oct65445740
928374826
1014044128
117a2261a
124853480
132ba9547
141c181a0
151376353
hexd64be0

14044128 has 48 divisors (see below), whose sum is σ = 42134400. Its totient is φ = 4012416.

The previous prime is 14044123. The next prime is 14044141. The reversal of 14044128 is 82144041.

14044128 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 (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 14044098 and 14044107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14044123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9778 + ... + 11121.

It is an arithmetic number, because the mean of its divisors is an integer number (877800).

Almost surely, 214044128 is an apocalyptic number.

It is an amenable number.

14044128 is an abundant number, since it is smaller than the sum of its proper divisors (28090272).

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

14044128 is a wasteful number, since it uses less digits than its factorization.

14044128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20919 (or 20911 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 14044128 is about 3747.5495994049. The cubic root of 14044128 is about 241.2671864406.

Adding to 14044128 its reverse (82144041), we get a palindrome (96188169).

The spelling of 14044128 in words is "fourteen million, forty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 20899 41798 62697 83596 125394 146293 167192 250788 292586 334384 438879 501576 585172 668768 877758 1003152 1170344 1755516 2006304 2340688 3511032 4681376 7022064 14044128