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444342333131201 = 163283349250311027
BaseRepresentation
bin110010100001000001000001…
…0111011001100100111000001
32011021021201020012001201221202
41211002002002323030213001
5431220101044240144301
64213012014432230545
7162410450145426341
oct14502020273144701
92137251205051852
10444342333131201
1111964358608767a
1241a0463039b455
13160c23c0c974ab
147ba23d8586d21
15365856cc1466b
hex1942082ecc9c1

444342333131201 has 32 divisors (see below), whose sum is σ = 450154208179200. Its totient is φ = 438579835481664.

The previous prime is 444342333131143. The next prime is 444342333131231. The reversal of 444342333131201 is 102131333243444.

It is a cyclic number.

It is not a de Polignac number, because 444342333131201 - 222 = 444342328936897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (444342333131231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40295844050 + ... + 40295855076.

It is an arithmetic number, because the mean of its divisors is an integer number (14067319005600).

Almost surely, 2444342333131201 is an apocalyptic number.

It is an amenable number.

444342333131201 is a deficient number, since it is larger than the sum of its proper divisors (5811875047999).

444342333131201 is a wasteful number, since it uses less digits than its factorization.

444342333131201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14325.

The product of its (nonzero) digits is 248832, while the sum is 38.

Adding to 444342333131201 its reverse (102131333243444), we get a palindrome (546473666374645).

The spelling of 444342333131201 in words is "four hundred forty-four trillion, three hundred forty-two billion, three hundred thirty-three million, one hundred thirty-one thousand, two hundred one".

Divisors: 1 163 283 349 2503 11027 46129 56887 98767 407989 708349 873547 1797401 3120641 3848423 16099021 27600581 115460887 142388161 247213801 508664483 627292949 1089103709 4498894703 7810964423 9632602769 40295849563 177523904567 1273187200949 1570114251347 2726026583627 444342333131201