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342113120442 = 232973315091163
BaseRepresentation
bin1001111101001111000…
…01111111000010111010
31012201001110012012112200
410332213201333002322
521101121424323232
6421055315251030
733500611354212
oct4764741770272
91181043165480
10342113120442
111220a8a34a75
1256378ba9a76
1326351913ca2
14127b6213242
158d7495077c
hex4fa787f0ba

342113120442 has 96 divisors (see below), whose sum is σ = 753272170560. Its totient is φ = 112203463680.

The previous prime is 342113120423. The next prime is 342113120501. The reversal of 342113120442 is 244021311243.

342113120442 is a `hidden beast` number, since 3 + 4 + 211 + 3 + 1 + 2 + 0 + 442 = 666.

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 47 ways as a sum of consecutive naturals, for example, 294163753 + ... + 294164915.

It is an arithmetic number, because the mean of its divisors is an integer number (7846585110).

Almost surely, 2342113120442 is an apocalyptic number.

342113120442 is an abundant number, since it is smaller than the sum of its proper divisors (411159050118).

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

342113120442 is a wasteful number, since it uses less digits than its factorization.

342113120442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2108 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 342113120442 its reverse (244021311243), we get a palindrome (586134431685).

The spelling of 342113120442 in words is "three hundred forty-two billion, one hundred thirteen million, one hundred twenty thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 97 194 291 331 509 582 662 873 993 1018 1163 1527 1746 1986 2326 2979 3054 3489 4581 5958 6978 9162 10467 20934 32107 49373 64214 96321 98746 112811 148119 168479 192642 225622 288963 296238 336958 338433 384953 444357 505437 577926 591967 676866 769906 888714 1010874 1015299 1154859 1183934 1516311 1775901 2030598 2309718 3032622 3464577 3551802 5327703 6929154 10655406 16342463 32684926 37340441 49027389 57420799 74680882 98054778 112021323 114841598 147082167 172262397 195941077 224042646 294164334 336063969 344524794 391882154 516787191 587823231 672127938 1033574382 1175646462 1763469693 3526939386 19006284469 38012568938 57018853407 114037706814 171056560221 342113120442