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42444012432001 is a prime number
BaseRepresentation
bin10011010011010010001000…
…10010001010101010000001
312120021121102012111102201111
421221221010102022222001
521030400314140311001
6230134302104403321
711640323123666065
oct1151510422125201
9176247365442644
1042444012432001
111258444a5608a4
124915b25a76541
131a8b5b78a492b
14a6a430567aa5
154d90ed4a8851
hex269a4448aa81

42444012432001 has 2 divisors, whose sum is σ = 42444012432002. Its totient is φ = 42444012432000.

The previous prime is 42444012431993. The next prime is 42444012432013. The reversal of 42444012432001 is 10023421044424.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 38467781017600 + 3976231414401 = 6202240^2 + 1994049^2 .

It is a cyclic number.

It is not a de Polignac number, because 42444012432001 - 23 = 42444012431993 is a prime.

It is not a weakly prime, because it can be changed into another prime (42444012432901) 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, 21222006216000 + 21222006216001.

It is an arithmetic number, because the mean of its divisors is an integer number (21222006216001).

Almost surely, 242444012432001 is an apocalyptic number.

It is an amenable number.

42444012432001 is a deficient number, since it is larger than the sum of its proper divisors (1).

42444012432001 is an equidigital number, since it uses as much as digits as its factorization.

42444012432001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 42444012432001 its reverse (10023421044424), we get a palindrome (52467433476425).

The spelling of 42444012432001 in words is "forty-two trillion, four hundred forty-four billion, twelve million, four hundred thirty-two thousand, one".