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242043222340242 = 23255021244394789
BaseRepresentation
bin110111000010001100010100…
…010010011011001010010010
31011202000002212022212022011100
4313002030110102123022102
5223211114004404341432
62214441042111325230
7101661021454614231
oct6702142422331222
91152002768768140
10242043222340242
1170138a54a59154
1223191721520816
13a50976893145b
1443aad510bcb18
151ceb1765d307c
hexdc231449b292

242043222340242 has 24 divisors (see below), whose sum is σ = 524436515279820. Its totient is φ = 80679607414560.

The previous prime is 242043222340211. The next prime is 242043222340253.

242043222340242 is a `hidden beast` number, since 2 + 4 + 20 + 4 + 3 + 2 + 223 + 402 + 4 + 2 = 666.

242043222340242 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 229198374211401 + 12844848128841 = 15139299^2 + 3583971^2 .

It is a junction number, because it is equal to n+sod(n) for n = 242043222340197 and 242043222340206.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121207017 + ... + 123187772.

Almost surely, 2242043222340242 is an apocalyptic number.

242043222340242 is an abundant number, since it is smaller than the sum of its proper divisors (282393292939578).

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

242043222340242 is a wasteful number, since it uses less digits than its factorization.

242043222340242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244449818 (or 244449815 counting only the distinct ones).

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

The spelling of 242043222340242 in words is "two hundred forty-two trillion, forty-three billion, two hundred twenty-two million, three hundred forty thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 55021 110042 165063 330126 495189 990378 244394789 488789578 733184367 1466368734 2199553101 4399106202 13446845685569 26893691371138 40340537056707 80681074113414 121021611170121 242043222340242