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13234647141 = 327927416791
BaseRepresentation
bin11000101001101100…
…01011000001100101
31021011100022201211100
430110312023001211
5204101032202031
610025132230313
7645652434042
oct142466130145
937140281740
1013234647141
115681682311
12269430b399
13132bb9a271
148d79aa1c9
15526d51de6
hex314d8b065

13234647141 has 24 divisors (see below), whose sum is σ = 19368610560. Its totient is φ = 8706952800.

The previous prime is 13234647109. The next prime is 13234647157. The reversal of 13234647141 is 14174643231.

13234647141 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 4 + 647 + 1 + 4 + 1 = 666.

It is not a de Polignac number, because 13234647141 - 25 = 13234647109 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13234647096 and 13234647105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13234647241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1945456 + ... + 1952246.

It is an arithmetic number, because the mean of its divisors is an integer number (807025440).

Almost surely, 213234647141 is an apocalyptic number.

It is an amenable number.

13234647141 is a deficient number, since it is larger than the sum of its proper divisors (6133963419).

13234647141 is a wasteful number, since it uses less digits than its factorization.

13234647141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9617 (or 9614 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

It can be divided in two parts, 1323 and 4647141, that added together give a palindrome (4648464).

The spelling of 13234647141 in words is "thirteen billion, two hundred thirty-four million, six hundred forty-seven thousand, one hundred forty-one".

Divisors: 1 3 9 79 237 711 2741 6791 8223 20373 24669 61119 216539 536489 649617 1609467 1948851 4828401 18614131 55842393 167527179 1470516349 4411549047 13234647141