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34742982041 is a prime number
BaseRepresentation
bin100000010110110101…
…111101010110011001
310022200022001100120122
4200112311331112121
51032123200411131
623543302403025
72336651321555
oct402665752631
9108608040518
1034742982041
11138095646a9
126897430475
133378bc4b51
141978324865
15d85211d7b
hex816d7d599

34742982041 has 2 divisors, whose sum is σ = 34742982042. Its totient is φ = 34742982040.

The previous prime is 34742981983. The next prime is 34742982083. The reversal of 34742982041 is 14028924743.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34558810000 + 184172041 = 185900^2 + 13571^2 .

It is a cyclic number.

It is not a de Polignac number, because 34742982041 - 222 = 34738787737 is a prime.

It is a super-2 number, since 2×347429820412 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34742981983 and 34742982001.

It is not a weakly prime, because it can be changed into another prime (34742382041) 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, 17371491020 + 17371491021.

It is an arithmetic number, because the mean of its divisors is an integer number (17371491021).

Almost surely, 234742982041 is an apocalyptic number.

It is an amenable number.

34742982041 is a deficient number, since it is larger than the sum of its proper divisors (1).

34742982041 is an equidigital number, since it uses as much as digits as its factorization.

34742982041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 387072, while the sum is 44.

The spelling of 34742982041 in words is "thirty-four billion, seven hundred forty-two million, nine hundred eighty-two thousand, forty-one".