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14114312136 = 23321636731787
BaseRepresentation
bin11010010010100011…
…10100111111001000
31100102122120100100100
431021101310333020
5212401230442021
610252314405400
71006523450031
oct151121647710
940378510310
1014114312136
115a93185681
12289aa30860
13143c1c3bb2
1497c751a88
155791b3626
hex349474fc8

14114312136 has 96 divisors (see below), whose sum is σ = 38539481760. Its totient is φ = 4666346496.

The previous prime is 14114312119. The next prime is 14114312161. The reversal of 14114312136 is 63121341141.

14114312136 is a `hidden beast` number, since 1 + 4 + 11 + 431 + 213 + 6 = 666.

14114312136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7897435 + ... + 7899221.

It is an arithmetic number, because the mean of its divisors is an integer number (401452935).

Almost surely, 214114312136 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 14114312136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19269740880).

14114312136 is an abundant number, since it is smaller than the sum of its proper divisors (24425169624).

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

14114312136 is a wasteful number, since it uses less digits than its factorization.

14114312136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2635 (or 2628 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

Adding to 14114312136 its reverse (63121341141), we get a palindrome (77235653277).

The spelling of 14114312136 in words is "fourteen billion, one hundred fourteen million, three hundred twelve thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 163 326 489 652 673 978 1304 1346 1467 1787 1956 2019 2692 2934 3574 3912 4038 5361 5384 5868 6057 7148 8076 10722 11736 12114 14296 16083 16152 21444 24228 32166 42888 48456 64332 109699 128664 219398 291281 329097 438796 582562 658194 873843 877592 987291 1165124 1202651 1316388 1747686 1974582 2330248 2405302 2621529 2632776 3495372 3607953 3949164 4810604 5243058 6990744 7215906 7898328 9621208 10486116 10823859 14431812 20972232 21647718 28863624 43295436 86590872 196032113 392064226 588096339 784128452 1176192678 1568256904 1764289017 2352385356 3528578034 4704770712 7057156068 14114312136