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12434133141 = 324332129543
BaseRepresentation
bin10111001010010000…
…11101000010010101
31012002120000102001200
423211020131002111
5200431114230031
65413454343113
7620062250013
oct134510350225
935076012050
1012434133141
1153008202a1
1224b01baa99
131232097441
1485d5498b3
154cb9278e6
hex2e521d095

12434133141 has 12 divisors (see below), whose sum is σ = 18378099168. Its totient is φ = 8096644584.

The previous prime is 12434133133. The next prime is 12434133163. The reversal of 12434133141 is 14133143421.

12434133141 is a `hidden beast` number, since 1 + 2 + 4 + 341 + 3 + 314 + 1 = 666.

It is not a de Polignac number, because 12434133141 - 23 = 12434133133 is a prime.

It is a super-2 number, since 2×124341331412 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12434133241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16064385 + ... + 16065158.

It is an arithmetic number, because the mean of its divisors is an integer number (1531508264).

Almost surely, 212434133141 is an apocalyptic number.

It is an amenable number.

12434133141 is a deficient number, since it is larger than the sum of its proper divisors (5943966027).

12434133141 is a wasteful number, since it uses less digits than its factorization.

12434133141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32129592 (or 32129589 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 12434133141 its reverse (14133143421), we get a palindrome (26567276562).

The spelling of 12434133141 in words is "twelve billion, four hundred thirty-four million, one hundred thirty-three thousand, one hundred forty-one".

Divisors: 1 3 9 43 129 387 32129543 96388629 289165887 1381570349 4144711047 12434133141