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434040100289 is a prime number
BaseRepresentation
bin1100101000011101100…
…11100101010111000001
31112111100000000122001222
412110032303211113001
524102403231202124
6531221213404425
743233626656625
oct6241663452701
91474300018058
10434040100289
11158091359594
1270153199715
1331c11a25213
1417016ddd185
15b45506925e
hex650ece55c1

434040100289 has 2 divisors, whose sum is σ = 434040100290. Its totient is φ = 434040100288.

The previous prime is 434040100237. The next prime is 434040100331. The reversal of 434040100289 is 982001040434.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 406396050064 + 27644050225 = 637492^2 + 166265^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-434040100289 is a prime.

It is not a weakly prime, because it can be changed into another prime (434040100889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 217020050144 + 217020050145.

It is an arithmetic number, because the mean of its divisors is an integer number (217020050145).

Almost surely, 2434040100289 is an apocalyptic number.

It is an amenable number.

434040100289 is a deficient number, since it is larger than the sum of its proper divisors (1).

434040100289 is an equidigital number, since it uses as much as digits as its factorization.

434040100289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 35.

The spelling of 434040100289 in words is "four hundred thirty-four billion, forty million, one hundred thousand, two hundred eighty-nine".