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34114442061289 is a prime number
BaseRepresentation
bin1111100000110111000110…
…01100110110010111101001
311110210022100010022112022211
413300123203030312113221
513432412334131430124
6200315542555445121
710120454451022642
oct760334314662751
9143708303275284
1034114442061289
11a962943200167
1239ab7357567a1
131605c93b036c5
1485d20d8166c9
153e25dcd22e94
hex1f06e33365e9

34114442061289 has 2 divisors, whose sum is σ = 34114442061290. Its totient is φ = 34114442061288.

The previous prime is 34114442061241. The next prime is 34114442061377. The reversal of 34114442061289 is 98216024441143.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34113391004889 + 1051056400 = 5840667^2 + 32420^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34114442061289 is a prime.

It is not a weakly prime, because it can be changed into another prime (34114442071289) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17057221030644 + 17057221030645.

It is an arithmetic number, because the mean of its divisors is an integer number (17057221030645).

Almost surely, 234114442061289 is an apocalyptic number.

It is an amenable number.

34114442061289 is a deficient number, since it is larger than the sum of its proper divisors (1).

34114442061289 is an equidigital number, since it uses as much as digits as its factorization.

34114442061289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1327104, while the sum is 49.

The spelling of 34114442061289 in words is "thirty-four trillion, one hundred fourteen billion, four hundred forty-two million, sixty-one thousand, two hundred eighty-nine".