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434334044241 = 33193253260269
BaseRepresentation
bin1100101001000000101…
…00111001000001010001
31112112002111010112101000
412110200110321001101
524104004003403431
6531310313532213
743244126314236
oct6244024710121
91475074115330
10434334044241
11158222276a79
1270215714069
1331c5a8b2656
141704407778d
15b470c7d9e6
hex6520539051

434334044241 has 32 divisors (see below), whose sum is σ = 677534864000. Its totient is φ = 274230857664.

The previous prime is 434334044239. The next prime is 434334044273. The reversal of 434334044241 is 142440433434.

434334044241 is a `hidden beast` number, since 4 + 3 + 4 + 3 + 3 + 404 + 4 + 241 = 666.

It is not a de Polignac number, because 434334044241 - 21 = 434334044239 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 434334044196 and 434334044205.

It is not an unprimeable number, because it can be changed into a prime (434334044141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1538655 + ... + 1798923.

It is an arithmetic number, because the mean of its divisors is an integer number (21172964500).

Almost surely, 2434334044241 is an apocalyptic number.

It is an amenable number.

434334044241 is a deficient number, since it is larger than the sum of its proper divisors (243200819759).

434334044241 is a wasteful number, since it uses less digits than its factorization.

434334044241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263550 (or 263544 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 434334044241 its reverse (142440433434), we get a palindrome (576774477675).

The spelling of 434334044241 in words is "four hundred thirty-four billion, three hundred thirty-four million, forty-four thousand, two hundred forty-one".

Divisors: 1 3 9 19 27 57 171 513 3253 9759 29277 61807 87831 185421 260269 556263 780807 1668789 2342421 4945111 7027263 14835333 44505999 133517997 846655057 2539965171 7619895513 16086446083 22859686539 48259338249 144778014747 434334044241