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442212323212244 = 221310218329170557
BaseRepresentation
bin110010010001100001001010…
…0011100001011101111010100
32010222202002022010121201010002
41210203002110130023233110
5430430201314220242434
64204301311535350432
7162100533416022554
oct14443022434135724
92128662263551102
10442212323212244
111189a2214002482
124171b864382418
1315c9959b7978c0
147b2b2951a9164
15361ce560b457e
hex192309470bbd4

442212323212244 has 24 divisors (see below), whose sum is σ = 834216406407048. Its totient is φ = 203898095210880.

The previous prime is 442212323212229. The next prime is 442212323212259.

442212323212244 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (442212323212229) and next prime (442212323212259).

It can be written as a sum of positive squares in 4 ways, for example, as 10178971202500 + 432033352009744 = 3190450^2 + 20785412^2 .

It is a super-2 number, since 2×4422123232122442 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 442212323212198 and 442212323212207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4164532187 + ... + 4164638370.

It is an arithmetic number, because the mean of its divisors is an integer number (34759016933627).

Almost surely, 2442212323212244 is an apocalyptic number.

It is an amenable number.

442212323212244 is a deficient number, since it is larger than the sum of its proper divisors (392004083194804).

442212323212244 is a wasteful number, since it uses less digits than its factorization.

442212323212244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8329171595 (or 8329171593 counting only the distinct ones).

The product of its digits is 294912, while the sum is 38.

The spelling of 442212323212244 in words is "four hundred forty-two trillion, two hundred twelve billion, three hundred twenty-three million, two hundred twelve thousand, two hundred forty-four".

Divisors: 1 2 4 13 26 52 1021 2042 4084 13273 26546 53092 8329170557 16658341114 33316682228 108279217241 216558434482 433116868964 8504083138697 17008166277394 34016332554788 110553080803061 221106161606122 442212323212244