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34112432041 is a prime number
BaseRepresentation
bin11111110001010000…
…100110011110101001
310021001100120002120221
4133301100212132221
51024330240311131
623400535450041
72315223613432
oct376120463651
9107040502527
1034112432041
11135156400a6
126740226921
1332a8390b3c
1419186a8489
15d49bac411
hex7f14267a9

34112432041 has 2 divisors, whose sum is σ = 34112432042. Its totient is φ = 34112432040.

The previous prime is 34112431979. The next prime is 34112432087. The reversal of 34112432041 is 14023421143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23091841600 + 11020590441 = 151960^2 + 104979^2 .

It is a cyclic number.

It is not a de Polignac number, because 34112432041 - 233 = 25522497449 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34112431997 and 34112432015.

It is not a weakly prime, because it can be changed into another prime (34112432741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17056216020 + 17056216021.

It is an arithmetic number, because the mean of its divisors is an integer number (17056216021).

Almost surely, 234112432041 is an apocalyptic number.

It is an amenable number.

34112432041 is a deficient number, since it is larger than the sum of its proper divisors (1).

34112432041 is an equidigital number, since it uses as much as digits as its factorization.

34112432041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 34112432041 its reverse (14023421143), we get a palindrome (48135853184).

The spelling of 34112432041 in words is "thirty-four billion, one hundred twelve million, four hundred thirty-two thousand, forty-one".