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442032222230244 = 2232521132411779889
BaseRepresentation
bin110010010000001101010010…
…1100101011101011011100100
32010222002212102120211212121100
41210200122211211131123210
5430414223442342331434
64204042444410320100
7162051526352650362
oct14440324545353344
92128085376755540
10442032222230244
111189328a3768aa8
12416b0980a29030
1315c855c8c578b9
147b2268bc04632
153618414ab0699
hex19206a595d6e4

442032222230244 has 72 divisors (see below), whose sum is σ = 1119589049156760. Its totient is φ = 147050074828800.

The previous prime is 442032222230237. The next prime is 442032222230327.

442032222230244 is a `hidden beast` number, since 4 + 4 + 2 + 0 + 322 + 2 + 22 + 302 + 4 + 4 = 666.

442032222230244 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 133134443792100 + 308897778438144 = 11538390^2 + 17575488^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 442032222230199 and 442032222230208.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 247458252 + ... + 249238140.

It is an arithmetic number, because the mean of its divisors is an integer number (15549847904955).

Almost surely, 2442032222230244 is an apocalyptic number.

It is an amenable number.

442032222230244 is an abundant number, since it is smaller than the sum of its proper divisors (677556826926516).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

442032222230244 is a wasteful number, since it uses less digits than its factorization.

442032222230244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1793661 (or 1793656 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

The spelling of 442032222230244 in words is "four hundred forty-two trillion, thirty-two billion, two hundred twenty-two million, two hundred thirty thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 521 1042 1563 2084 3126 4689 6252 9378 13241 18756 26482 39723 52964 79446 119169 158892 238338 476676 1779889 3559778 5339667 6898561 7119556 10679334 13797122 16019001 20695683 21358668 27594244 32038002 41391366 62087049 64076004 82782732 124174098 248348196 927322169 1854644338 2781966507 3709288676 5563933014 8345899521 11127866028 16691799042 23567510249 33383598084 47135020498 70702530747 94270040996 141405061494 212107592241 282810122988 424215184482 848430368964 12278672839729 24557345679458 36836018519187 49114691358916 73672037038374 110508055557561 147344074076748 221016111115122 442032222230244