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434443102241 = 2971212103749
BaseRepresentation
bin1100101001001101101…
…00111010100000100001
31112112101002100020211012
412110212310322200201
524104214413232431
6531325211230305
743246622303501
oct6244664724041
91475332306735
10434443102241
11158278894955
1270246148395
1331c77378005
1417054745a01
15b47a62222b
hex6526d3a821

434443102241 has 8 divisors (see below), whose sum is σ = 449487225000. Its totient is φ = 419403201280.

The previous prime is 434443102231. The next prime is 434443102309. The reversal of 434443102241 is 142201344434.

It can be written as a sum of positive squares in 4 ways, for example, as 30577768225 + 403865334016 = 174865^2 + 635504^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 434443102241 - 210 = 434443101217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 434443102198 and 434443102207.

It is not an unprimeable number, because it can be changed into a prime (434443102231) 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 in 7 ways as a sum of consecutive naturals, for example, 845366 + ... + 1258383.

It is an arithmetic number, because the mean of its divisors is an integer number (56185903125).

Almost surely, 2434443102241 is an apocalyptic number.

It is an amenable number.

434443102241 is a deficient number, since it is larger than the sum of its proper divisors (15044122759).

434443102241 is a wasteful number, since it uses less digits than its factorization.

434443102241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110899.

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 434443102241 its reverse (142201344434), we get a palindrome (576644446675).

The spelling of 434443102241 in words is "four hundred thirty-four billion, four hundred forty-three million, one hundred two thousand, two hundred forty-one".

Divisors: 1 29 7121 206509 2103749 61008721 14980796629 434443102241