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34410433441 is a prime number
BaseRepresentation
bin100000000011000001…
…011000101110100001
310021211010022010122211
4200003001120232201
51030433032332231
623450303002121
72325502600246
oct400301305641
9107733263584
1034410433441
1113658879a4a
126803b99341
13332503c027
1419460bb5cd
15d65e23eb1
hex803058ba1

34410433441 has 2 divisors, whose sum is σ = 34410433442. Its totient is φ = 34410433440.

The previous prime is 34410433403. The next prime is 34410433457. The reversal of 34410433441 is 14433401443.

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., 34050951841 + 359481600 = 184529^2 + 18960^2 .

It is a cyclic number.

It is not a de Polignac number, because 34410433441 - 29 = 34410432929 is a prime.

It is a super-2 number, since 2×344104334412 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34410433741) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17205216720 + 17205216721.

It is an arithmetic number, because the mean of its divisors is an integer number (17205216721).

Almost surely, 234410433441 is an apocalyptic number.

It is an amenable number.

34410433441 is a deficient number, since it is larger than the sum of its proper divisors (1).

34410433441 is an equidigital number, since it uses as much as digits as its factorization.

34410433441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 34410433441 its reverse (14433401443), we get a palindrome (48843834884).

The spelling of 34410433441 in words is "thirty-four billion, four hundred ten million, four hundred thirty-three thousand, four hundred forty-one".