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434123443441 is a prime number
BaseRepresentation
bin1100101000100111100…
…01100000110011110001
31112111112210211220101101
412110103301200303301
524103041100142231
6531233352004401
743235661245602
oct6242361406361
91474483756341
10434123443441
11158124403526
1270177090701
1331c260861ac
14170240d5da9
15b45c52d661
hex6513c60cf1

434123443441 has 2 divisors, whose sum is σ = 434123443442. Its totient is φ = 434123443440.

The previous prime is 434123443433. The next prime is 434123443459. The reversal of 434123443441 is 144344321434.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 358537488400 + 75585955041 = 598780^2 + 274929^2 .

It is a cyclic number.

It is not a de Polignac number, because 434123443441 - 23 = 434123443433 is a prime.

It is a super-3 number, since 3×4341234434413 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 434123443441.

It is not a weakly prime, because it can be changed into another prime (434123443471) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 217061721720 + 217061721721.

It is an arithmetic number, because the mean of its divisors is an integer number (217061721721).

Almost surely, 2434123443441 is an apocalyptic number.

It is an amenable number.

434123443441 is a deficient number, since it is larger than the sum of its proper divisors (1).

434123443441 is an equidigital number, since it uses as much as digits as its factorization.

434123443441 is an evil number, because the sum of its binary digits is even.

The product of its digits is 221184, while the sum is 37.

Adding to 434123443441 its reverse (144344321434), we get a palindrome (578467764875).

The spelling of 434123443441 in words is "four hundred thirty-four billion, one hundred twenty-three million, four hundred forty-three thousand, four hundred forty-one".