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34024441441 is a prime number
BaseRepresentation
bin11111101100000000…
…111100011001100001
310020211012222201011211
4133230000330121201
51024140224111231
623344113510121
72313104660164
oct375400743141
9106735881154
1034024441441
111347aa014a1
126716872341
1332930936b3
14190ab21adb
15d420caeb1
hex7ec03c661

34024441441 has 2 divisors, whose sum is σ = 34024441442. Its totient is φ = 34024441440.

The previous prime is 34024441433. The next prime is 34024441453. The reversal of 34024441441 is 14414442043.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32569781841 + 1454659600 = 180471^2 + 38140^2 .

It is a cyclic number.

It is not a de Polignac number, because 34024441441 - 23 = 34024441433 is a prime.

It is not a weakly prime, because it can be changed into another prime (34024441411) 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 as a sum of consecutive naturals, namely, 17012220720 + 17012220721.

It is an arithmetic number, because the mean of its divisors is an integer number (17012220721).

Almost surely, 234024441441 is an apocalyptic number.

It is an amenable number.

34024441441 is a deficient number, since it is larger than the sum of its proper divisors (1).

34024441441 is an equidigital number, since it uses as much as digits as its factorization.

34024441441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 34024441441 its reverse (14414442043), we get a palindrome (48438883484).

The spelling of 34024441441 in words is "thirty-four billion, twenty-four million, four hundred forty-one thousand, four hundred forty-one".