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344138817697 is a prime number
BaseRepresentation
bin1010000001000000100…
…01011010000010100001
31012220021121220021202221
411000200101122002201
521114244014131242
6422032321111041
733602036454133
oct5004021320241
91186247807687
10344138817697
11122a48433334
1256843488481
13265b54b7a0c
141292927b053
158e426dc167
hex502045a0a1

344138817697 has 2 divisors, whose sum is σ = 344138817698. Its totient is φ = 344138817696.

The previous prime is 344138817683. The next prime is 344138817779. The reversal of 344138817697 is 796718831443.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 263727439936 + 80411377761 = 513544^2 + 283569^2 .

It is a cyclic number.

It is not a de Polignac number, because 344138817697 - 211 = 344138815649 is a prime.

It is not a weakly prime, because it can be changed into another prime (344138817497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 172069408848 + 172069408849.

It is an arithmetic number, because the mean of its divisors is an integer number (172069408849).

Almost surely, 2344138817697 is an apocalyptic number.

It is an amenable number.

344138817697 is a deficient number, since it is larger than the sum of its proper divisors (1).

344138817697 is an equidigital number, since it uses as much as digits as its factorization.

344138817697 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 24385536, while the sum is 61.

The spelling of 344138817697 in words is "three hundred forty-four billion, one hundred thirty-eight million, eight hundred seventeen thousand, six hundred ninety-seven".