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14004444 = 22319239257
BaseRepresentation
bin110101011011…
…000011011100
3222100111111010
4311123003130
512041120234
61220055220
7230015166
oct65330334
928314433
1014004444
1179a5823
124834510
132b9446c
141c07936
1513696e9
hexd5b0dc

14004444 has 48 divisors (see below), whose sum is σ = 34675200. Its totient is φ = 4386816.

The previous prime is 14004443. The next prime is 14004451. The reversal of 14004444 is 44440041.

It is a super-2 number, since 2×140044442 = 392248903498272, which contains 22 as substring.

14004444 is a modest number, since divided by 4444 gives 1400 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 14004444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14004443) 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, 54364 + ... + 54620.

It is an arithmetic number, because the mean of its divisors is an integer number (722400).

Almost surely, 214004444 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 14004444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17337600).

14004444 is an abundant number, since it is smaller than the sum of its proper divisors (20670756).

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

14004444 is a wasteful number, since it uses less digits than its factorization.

14004444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 14004444 is about 3742.2511941344. The cubic root of 14004444 is about 241.0397253202.

Adding to 14004444 its reverse (44440041), we get a palindrome (58444485).

The spelling of 14004444 in words is "fourteen million, four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 239 257 478 514 717 771 956 1028 1434 1542 2868 3084 4541 4883 9082 9766 13623 14649 18164 19532 27246 29298 54492 58596 61423 122846 184269 245692 368538 737076 1167037 2334074 3501111 4668148 7002222 14004444