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442064787460244 = 22138501245912697
BaseRepresentation
bin110010010000011100011101…
…0100111111101000010010100
32010222012222111010001221222222
41210200320322213331002110
5430420242141042211434
64204105432040241512
7162054061351564034
oct14440707247750224
92128188433057888
10442064787460244
11118945694a09323
12416b714aa70298
1315c886b890a770
147b2409abdd8c4
1536191bd9ec72e
hex1920e3a9fd094

442064787460244 has 12 divisors (see below), whose sum is σ = 833122099444404. Its totient is φ = 204029901904704.

The previous prime is 442064787460243. The next prime is 442064787460267.

It is a happy number.

442064787460244 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 25954561971844 + 416110225488400 = 5094562^2 + 20398780^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442064787460243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4250622956297 + ... + 4250622956400.

It is an arithmetic number, because the mean of its divisors is an integer number (69426841620367).

Almost surely, 2442064787460244 is an apocalyptic number.

It is an amenable number.

442064787460244 is a deficient number, since it is larger than the sum of its proper divisors (391057311984160).

442064787460244 is a wasteful number, since it uses less digits than its factorization.

442064787460244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8501245912714 (or 8501245912712 counting only the distinct ones).

The product of its (nonzero) digits is 231211008, while the sum is 62.

The spelling of 442064787460244 in words is "four hundred forty-two trillion, sixty-four billion, seven hundred eighty-seven million, four hundred sixty thousand, two hundred forty-four".

Divisors: 1 2 4 13 26 52 8501245912697 17002491825394 34004983650788 110516196865061 221032393730122 442064787460244