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14112413412 = 22367173241421
BaseRepresentation
bin11010010010010101…
…00101011011100100
31100102111222212210020
431021022211123210
5212400234212122
610252205555140
71006501351266
oct151112453344
940374885706
1014112413412
115a920a9089
12289a275ab0
13143b9aa8a6
1497c3b9b36
15578e3ac5c
hex3492a56e4

14112413412 has 96 divisors (see below), whose sum is σ = 33833272704. Its totient is φ = 4577126400.

The previous prime is 14112413411. The next prime is 14112413417. The reversal of 14112413412 is 21431421141.

It is a happy number.

It is a super-2 number, since 2×141124134122 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (14112413411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33520962 + ... + 33521382.

It is an arithmetic number, because the mean of its divisors is an integer number (352429924).

Almost surely, 214112413412 is an apocalyptic number.

14112413412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14112413412 is an abundant number, since it is smaller than the sum of its proper divisors (19720859292).

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

14112413412 is a wasteful number, since it uses less digits than its factorization.

14112413412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 907 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

Adding to 14112413412 its reverse (21431421141), we get a palindrome (35543834553).

The spelling of 14112413412 in words is "fourteen billion, one hundred twelve million, four hundred thirteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 67 134 173 201 241 268 346 402 421 482 519 692 723 804 842 964 1038 1263 1446 1684 2076 2526 2892 5052 11591 16147 23182 28207 32294 34773 41693 46364 48441 56414 64588 69546 72833 83386 84621 96882 101461 112828 125079 139092 145666 166772 169242 193764 202922 218499 250158 291332 304383 338484 405844 436998 500316 608766 873996 1217532 2793431 4879811 5586862 6797887 8380293 9759622 11173724 13595774 14639433 16760586 17552753 19519244 20393661 27191548 29278866 33521172 35105506 40787322 52658259 58557732 70211012 81574644 105316518 210633036 1176034451 2352068902 3528103353 4704137804 7056206706 14112413412