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34410431141 is a prime number
BaseRepresentation
bin100000000011000001…
…011000001010100101
310021211010022000111122
4200003001120022211
51030433032244031
623450302543325
72325502560452
oct400301301245
9107733260448
1034410431141
1113658878249
126803b97b45
13332503ac78
1419460ba829
15d65e2347b
hex8030582a5

34410431141 has 2 divisors, whose sum is σ = 34410431142. Its totient is φ = 34410431140.

The previous prime is 34410431131. The next prime is 34410431147. The reversal of 34410431141 is 14113401443.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34134040516 + 276390625 = 184754^2 + 16625^2 .

It is an emirp because it is prime and its reverse (14113401443) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34410431141 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34410431141.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34410431147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17205215570 + 17205215571.

It is an arithmetic number, because the mean of its divisors is an integer number (17205215571).

Almost surely, 234410431141 is an apocalyptic number.

It is an amenable number.

34410431141 is a deficient number, since it is larger than the sum of its proper divisors (1).

34410431141 is an equidigital number, since it uses as much as digits as its factorization.

34410431141 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 26.

Adding to 34410431141 its reverse (14113401443), we get a palindrome (48523832584).

The spelling of 34410431141 in words is "thirty-four billion, four hundred ten million, four hundred thirty-one thousand, one hundred forty-one".