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344041234001 is a prime number
BaseRepresentation
bin1010000000110100111…
…01001001111001010001
31012220000211021112002222
411000122131021321101
521114044023442001
6422014513350425
733566443144433
oct5003235117121
91186024245088
10344041234001
111229a8342253
1256816868415
132659b20bc9a
141291a318653
158e38d6361b
hex501a749e51

344041234001 has 2 divisors, whose sum is σ = 344041234002. Its totient is φ = 344041234000.

The previous prime is 344041233989. The next prime is 344041234007. The reversal of 344041234001 is 100432140443.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 295343337025 + 48697896976 = 543455^2 + 220676^2 .

It is a cyclic number.

It is not a de Polignac number, because 344041234001 - 214 = 344041217617 is a prime.

It is not a weakly prime, because it can be changed into another prime (344041234007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 172020617000 + 172020617001.

It is an arithmetic number, because the mean of its divisors is an integer number (172020617001).

Almost surely, 2344041234001 is an apocalyptic number.

It is an amenable number.

344041234001 is a deficient number, since it is larger than the sum of its proper divisors (1).

344041234001 is an equidigital number, since it uses as much as digits as its factorization.

344041234001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 344041234001 its reverse (100432140443), we get a palindrome (444473374444).

The spelling of 344041234001 in words is "three hundred forty-four billion, forty-one million, two hundred thirty-four thousand, one".