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434023302041 = 7217521036377
BaseRepresentation
bin1100101000011011100…
…11100000001110011001
31112111021211102012012122
412110031303200032121
524102334431131131
6531215413351025
743233334124300
oct6241563401631
91474254365178
10434023302041
1115808292583a
1270149638475
1331c0b3c3224
1417014aa9437
15b45384bd7b
hex650dce0399

434023302041 has 12 divisors (see below), whose sum is σ = 534583323828. Its totient is φ = 350136444672.

The previous prime is 434023302023. The next prime is 434023302047. The reversal of 434023302041 is 140203320434.

It can be written as a sum of positive squares in 2 ways, for example, as 389176345600 + 44846956441 = 623840^2 + 211771^2 .

It is not a de Polignac number, because 434023302041 - 222 = 434019107737 is a prime.

It is a super-2 number, since 2×4340233020412 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 434023302041.

It is not an unprimeable number, because it can be changed into a prime (434023302047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 260517356 + ... + 260519021.

It is an arithmetic number, because the mean of its divisors is an integer number (44548610319).

Almost surely, 2434023302041 is an apocalyptic number.

It is an amenable number.

434023302041 is a deficient number, since it is larger than the sum of its proper divisors (100560021787).

434023302041 is a wasteful number, since it uses less digits than its factorization.

434023302041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521036408 (or 521036401 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 434023302041 its reverse (140203320434), we get a palindrome (574226622475).

The spelling of 434023302041 in words is "four hundred thirty-four billion, twenty-three million, three hundred two thousand, forty-one".

Divisors: 1 7 17 49 119 833 521036377 3647254639 8857618409 25530782473 62003328863 434023302041