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34416426041 is a prime number
BaseRepresentation
bin100000000011011000…
…001111110000111001
310021211112120120221222
4200003120033300321
51030441101113131
623451035241425
72325604536344
oct400330176071
9107745516858
1034416426041
11136611a2308
126805ba9275
13332635984a
141946bdb45b
15d6670987b
hex80360fc39

34416426041 has 2 divisors, whose sum is σ = 34416426042. Its totient is φ = 34416426040.

The previous prime is 34416426029. The next prime is 34416426053. The reversal of 34416426041 is 14062461443.

It is a balanced prime because it is at equal distance from previous prime (34416426029) and next prime (34416426053).

It can be written as a sum of positive squares in only one way, i.e., 18980848441 + 15435577600 = 137771^2 + 124240^2 .

It is a cyclic number.

It is not a de Polignac number, because 34416426041 - 26 = 34416425977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34416425992 and 34416426010.

It is not a weakly prime, because it can be changed into another prime (34416426071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17208213020 + 17208213021.

It is an arithmetic number, because the mean of its divisors is an integer number (17208213021).

Almost surely, 234416426041 is an apocalyptic number.

It is an amenable number.

34416426041 is a deficient number, since it is larger than the sum of its proper divisors (1).

34416426041 is an equidigital number, since it uses as much as digits as its factorization.

34416426041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 55296, while the sum is 35.

Adding to 34416426041 its reverse (14062461443), we get a palindrome (48478887484).

The spelling of 34416426041 in words is "thirty-four billion, four hundred sixteen million, four hundred twenty-six thousand, forty-one".