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344041100789 is a prime number
BaseRepresentation
bin1010000000110100111…
…00101001010111110101
31012220000211000202101012
411000122130221113311
521114044010211124
6422014510442005
733566442051161
oct5003234512765
91186024022335
10344041100789
111229a8261161
1256816803305
132659b193469
141291a2c1ca1
158e38d38e0e
hex501a7295f5

344041100789 has 2 divisors, whose sum is σ = 344041100790. Its totient is φ = 344041100788.

The previous prime is 344041100771. The next prime is 344041100827. The reversal of 344041100789 is 987001140443.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 181333743889 + 162707356900 = 425833^2 + 403370^2 .

It is an emirp because it is prime and its reverse (987001140443) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 344041100789 - 228 = 343772665333 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (344041100089) 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, 172020550394 + 172020550395.

It is an arithmetic number, because the mean of its divisors is an integer number (172020550395).

Almost surely, 2344041100789 is an apocalyptic number.

It is an amenable number.

344041100789 is a deficient number, since it is larger than the sum of its proper divisors (1).

344041100789 is an equidigital number, since it uses as much as digits as its factorization.

344041100789 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96768, while the sum is 41.

The spelling of 344041100789 in words is "three hundred forty-four billion, forty-one million, one hundred thousand, seven hundred eighty-nine".