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241344424001 is a prime number
BaseRepresentation
bin1110000011000100111…
…1111010100001000001
3212001221201010001000102
43200301033322201001
512423233133032001
6302512212332145
723302511520212
oct3406117724101
9761851101012
10241344424001
11933986a995a
123a935914055
13199b2a91aa5
14b977055409
156427ec3e6b
hex38313fa841

241344424001 has 2 divisors, whose sum is σ = 241344424002. Its totient is φ = 241344424000.

The previous prime is 241344423977. The next prime is 241344424039. The reversal of 241344424001 is 100424443142.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 227575748401 + 13768675600 = 477049^2 + 117340^2 .

It is a cyclic number.

It is not a de Polignac number, because 241344424001 - 26 = 241344423937 is a prime.

It is not a weakly prime, because it can be changed into another prime (241344424301) 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, 120672212000 + 120672212001.

It is an arithmetic number, because the mean of its divisors is an integer number (120672212001).

Almost surely, 2241344424001 is an apocalyptic number.

It is an amenable number.

241344424001 is a deficient number, since it is larger than the sum of its proper divisors (1).

241344424001 is an equidigital number, since it uses as much as digits as its factorization.

241344424001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 241344424001 its reverse (100424443142), we get a palindrome (341768867143).

The spelling of 241344424001 in words is "two hundred forty-one billion, three hundred forty-four million, four hundred twenty-four thousand, one".