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14632136343 = 32112314814339
BaseRepresentation
bin11011010000010010…
…01010111010010111
31101202201221112121200
431220021022322113
5214431311330333
610415533243543
71025412051426
oct155011127227
941681845550
1014632136343
116229506670
122a043335b3
1314c2579c56
149cb4272bd
155a989cc13
hex36824ae97

14632136343 has 48 divisors (see below), whose sum is σ = 24080958720. Its totient is φ = 8474716800.

The previous prime is 14632136273. The next prime is 14632136353. The reversal of 14632136343 is 34363123641.

14632136343 is a `hidden beast` number, since 1 + 4 + 6 + 3 + 2 + 13 + 634 + 3 = 666.

14632136343 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14632136343 - 210 = 14632135319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14632136298 and 14632136307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14632136353) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3370068 + ... + 3374406.

It is an arithmetic number, because the mean of its divisors is an integer number (501686640).

Almost surely, 214632136343 is an apocalyptic number.

14632136343 is a deficient number, since it is larger than the sum of its proper divisors (9448822377).

14632136343 is a wasteful number, since it uses less digits than its factorization.

14632136343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5860 (or 5857 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

Adding to 14632136343 its reverse (34363123641), we get a palindrome (48995259984).

It can be divided in two parts, 14632 and 136343, that added together give a triangular number (150975 = T549).

The spelling of 14632136343 in words is "fourteen billion, six hundred thirty-two million, one hundred thirty-six thousand, three hundred forty-three".

Divisors: 1 3 9 11 23 33 69 99 207 253 759 1481 2277 4339 4443 13017 13329 16291 34063 39051 47729 48873 99797 102189 143187 146619 299391 306567 374693 429561 898173 1097767 1124079 3293301 3372237 6426059 9879903 19278177 57834531 70686649 147799357 212059947 443398071 636179841 1330194213 1625792927 4877378781 14632136343