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434323021444049 is a prime number
BaseRepresentation
bin110001011000000111011010…
…1011010010011001111010001
32002221210212122010111010121002
41202300032311122103033101
5423411422021442202144
64135421124102511345
7160324542233322113
oct14260166532231721
92087725563433532
10434323021444049
111164303a4911231
1240866865135555
131584663cc40c6a
1479374bc7473b3
153532b126ba14e
hex18b03b56933d1

434323021444049 has 2 divisors, whose sum is σ = 434323021444050. Its totient is φ = 434323021444048.

The previous prime is 434323021444007. The next prime is 434323021444051. The reversal of 434323021444049 is 940444120323434.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 407307351968449 + 27015669475600 = 20181857^2 + 5197660^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-434323021444049 is a prime.

Together with 434323021444051, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 434323021443994 and 434323021444012.

It is not a weakly prime, because it can be changed into another prime (434323021444649) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 217161510722024 + 217161510722025.

It is an arithmetic number, because the mean of its divisors is an integer number (217161510722025).

Almost surely, 2434323021444049 is an apocalyptic number.

It is an amenable number.

434323021444049 is a deficient number, since it is larger than the sum of its proper divisors (1).

434323021444049 is an equidigital number, since it uses as much as digits as its factorization.

434323021444049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3981312, while the sum is 47.

The spelling of 434323021444049 in words is "four hundred thirty-four trillion, three hundred twenty-three billion, twenty-one million, four hundred forty-four thousand, forty-nine".