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342042222240243 = 32724202318456701
BaseRepresentation
bin100110111000101011110100…
…1001001111010000111110011
31122212001220202120022111011100
41031301113221021322013303
5324313004432343141433
63211244005550415443
7132021510061261200
oct11561275111720763
91585056676274140
10342042222240243
1199a923234833a8
12324420a8201583
13118b159b803845
146066d09158ca7
1529824831a1b13
hex13715e927a1f3

342042222240243 has 36 divisors (see below), whose sum is σ = 574737713632368. Its totient is φ = 195448036744800.

The previous prime is 342042222240239. The next prime is 342042222240317.

342042222240243 is a `hidden beast` number, since 3 + 4 + 2 + 0 + 4 + 22 + 222 + 402 + 4 + 3 = 666.

342042222240243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 342042222240243 - 22 = 342042222240239 is a prime.

It is a super-3 number, since 3×3420422222402433 (a number of 45 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 342042222240198 and 342042222240207.

It is not an unprimeable number, because it can be changed into a prime (342042222240443) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9303793 + ... + 27760493.

It is an arithmetic number, because the mean of its divisors is an integer number (15964936489788).

Almost surely, 2342042222240243 is an apocalyptic number.

342042222240243 is a deficient number, since it is larger than the sum of its proper divisors (232695491392125).

342042222240243 is a wasteful number, since it uses less digits than its factorization.

342042222240243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18498744 (or 18498734 counting only the distinct ones).

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

The spelling of 342042222240243 in words is "three hundred forty-two trillion, forty-two billion, two hundred twenty-two million, two hundred forty thousand, two hundred forty-three".

Divisors: 1 3 7 9 21 49 63 147 441 42023 126069 294161 378207 882483 2059127 2647449 6177381 18456701 18532143 55370103 129196907 166110309 387590721 904378349 1162772163 2713135047 8139405141 775605946123 2326817838369 5429241622861 6980453515107 16287724868583 38004691360027 48863174605749 114014074080081 342042222240243