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344112201430381 is a prime number
BaseRepresentation
bin100111000111101111101110…
…1100001110111010101101101
31200010101210201222100112020101
41032033133131201313111231
5330100413242031233011
63215510544000351101
7132324200066134606
oct11617373541672555
91603353658315211
10344112201430381
119a71018a7a251a
1232717300015491
1311a018450a7617
1460d9195964dad
1529bb234a2e2c1
hex138f7dd87756d

344112201430381 has 2 divisors, whose sum is σ = 344112201430382. Its totient is φ = 344112201430380.

The previous prime is 344112201430339. The next prime is 344112201430471. The reversal of 344112201430381 is 183034102211443.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 231228822564100 + 112883378866281 = 15206210^2 + 10624659^2 .

It is a cyclic number.

It is not a de Polignac number, because 344112201430381 - 243 = 335316108408173 is a prime.

It is a super-2 number, since 2×3441122014303812 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 344112201430381.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (344112201430681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 172056100715190 + 172056100715191.

It is an arithmetic number, because the mean of its divisors is an integer number (172056100715191).

Almost surely, 2344112201430381 is an apocalyptic number.

It is an amenable number.

344112201430381 is a deficient number, since it is larger than the sum of its proper divisors (1).

344112201430381 is an equidigital number, since it uses as much as digits as its factorization.

344112201430381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 55296, while the sum is 37.

The spelling of 344112201430381 in words is "three hundred forty-four trillion, one hundred twelve billion, two hundred one million, four hundred thirty thousand, three hundred eighty-one".