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13042144314 = 233593407287
BaseRepresentation
bin11000010010101111…
…10101010000111010
31020122221002120121000
430021113311100322
5203202242104224
65554054225430
7641124253233
oct141127652072
936587076530
1013042144314
115592a50071
12263b955276
1312cb039574
148ba1ba08a
15514ec90c9
hex3095f543a

13042144314 has 32 divisors (see below), whose sum is σ = 29031488640. Its totient is φ = 4340039616.

The previous prime is 13042144267. The next prime is 13042144333. The reversal of 13042144314 is 41344124031.

13042144314 is a `hidden beast` number, since 1 + 304 + 2 + 1 + 44 + 314 = 666.

13042144314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 171622 + ... + 235665.

It is an arithmetic number, because the mean of its divisors is an integer number (907234020).

Almost surely, 213042144314 is an apocalyptic number.

13042144314 is an abundant number, since it is smaller than the sum of its proper divisors (15989344326).

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

13042144314 is a wasteful number, since it uses less digits than its factorization.

13042144314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407891 (or 407885 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 13042144314 its reverse (41344124031), we get a palindrome (54386268345).

The spelling of 13042144314 in words is "thirteen billion, forty-two million, one hundred forty-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 593 1186 1779 3558 5337 10674 16011 32022 407287 814574 1221861 2443722 3665583 7331166 10996749 21993498 241521191 483042382 724563573 1449127146 2173690719 4347381438 6521072157 13042144314