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442037363730244 = 222910357367931537
BaseRepresentation
bin110010010000001111101100…
…0000010101110011101000100
32010222010100200220111010200021
41210200133120002232131010
5430414320010103331434
64204045054514424524
7162052100643663322
oct14440373002563504
92128110626433607
10442037363730244
11118934aa1a32057
12416b1976892144
1315c85c381ca4a9
147b22a189bad12
153618616167cb4
hex19207d80ae744

442037363730244 has 24 divisors (see below), whose sum is σ = 800317322826840. Its totient is φ = 213376743261696.

The previous prime is 442037363730191. The next prime is 442037363730247.

442037363730244 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 195740749784644 + 246296613945600 = 13990738^2 + 15693840^2 .

It is a junction number, because it is equal to n+sod(n) for n = 442037363730191 and 442037363730200.

It is not an unprimeable number, because it can be changed into a prime (442037363730247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 182764357 + ... + 185167180.

It is an arithmetic number, because the mean of its divisors is an integer number (33346555117785).

Almost surely, 2442037363730244 is an apocalyptic number.

It is an amenable number.

442037363730244 is a deficient number, since it is larger than the sum of its proper divisors (358279959096596).

442037363730244 is a wasteful number, since it uses less digits than its factorization.

442037363730244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367941927 (or 367941925 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 52.

The spelling of 442037363730244 in words is "four hundred forty-two trillion, thirty-seven billion, three hundred sixty-three million, seven hundred thirty thousand, two hundred forty-four".

Divisors: 1 2 4 29 58 116 10357 20714 41428 300353 600706 1201412 367931537 735863074 1471726148 10670014573 21340029146 42680058292 3810666928709 7621333857418 15242667714836 110509340932561 221018681865122 442037363730244