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14123412 = 22321492633
BaseRepresentation
bin110101111000…
…000110010100
3222120112200100
4311320012110
512103422122
61222414100
7231022062
oct65700624
928515610
1014123412
117a77146
124891330
132c06664
141c39032
15138eaac
hexd78194

14123412 has 36 divisors (see below), whose sum is σ = 35954100. Its totient is φ = 4674432.

The previous prime is 14123411. The next prime is 14123437. The reversal of 14123412 is 21432141.

It can be written as a sum of positive squares in 2 ways, for example, as 1971216 + 12152196 = 1404^2 + 3486^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14123411) 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 11 ways as a sum of consecutive naturals, for example, 4048 + ... + 6680.

It is an arithmetic number, because the mean of its divisors is an integer number (998725).

Almost surely, 214123412 is an apocalyptic number.

14123412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14123412 is an abundant number, since it is smaller than the sum of its proper divisors (21830688).

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

14123412 is a wasteful number, since it uses less digits than its factorization.

14123412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2792 (or 2787 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 14123412 is about 3758.1128242776. The cubic root of 14123412 is about 241.7203472244.

Adding to 14123412 its reverse (21432141), we get a palindrome (35555553).

It can be divided in two parts, 141234 and 12, that added together give a triangular number (141246 = T531).

The spelling of 14123412 in words is "fourteen million, one hundred twenty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 149 298 447 596 894 1341 1788 2633 2682 5266 5364 7899 10532 15798 23697 31596 47394 94788 392317 784634 1176951 1569268 2353902 3530853 4707804 7061706 14123412