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2142111131442 = 2324123891214981
BaseRepresentation
bin11111001010111111110…
…001011110011100110010
321120210011102000022121200
4133022333301132130302
5240044020422201232
64320023335432030
7310522340122362
oct37127761363462
97523142008550
102142111131442
11756511986257
122a71a4825616
13127000610a69
14759706249a2
153aac421477c
hex1f2bfc5e732

2142111131442 has 48 divisors (see below), whose sum is σ = 4756435833240. Its totient is φ = 696329337600.

The previous prime is 2142111131437. The next prime is 2142111131443. The reversal of 2142111131442 is 2441311112412.

2142111131442 is a `hidden beast` number, since 2 + 1 + 4 + 211 + 1 + 1 + 3 + 1 + 442 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 708389872281 + 1433721259161 = 841659^2 + 1197381^2 .

It is not an unprimeable number, because it can be changed into a prime (2142111131443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1155592 + ... + 2370572.

Almost surely, 22142111131442 is an apocalyptic number.

2142111131442 is an abundant number, since it is smaller than the sum of its proper divisors (2614324701798).

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

2142111131442 is a wasteful number, since it uses less digits than its factorization.

2142111131442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217419 (or 1217416 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

Adding to 2142111131442 its reverse (2441311112412), we get a palindrome (4583422243854).

The spelling of 2142111131442 in words is "two trillion, one hundred forty-two billion, one hundred eleven million, one hundred thirty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 41 82 123 246 369 738 2389 4778 7167 14334 21501 43002 97949 195898 293847 587694 881541 1214981 1763082 2429962 3644943 7289886 10934829 21869658 49814221 99628442 149442663 298885326 448327989 896655978 2902589609 5805179218 8707768827 17415537654 26123306481 52246612962 119006173969 238012347938 357018521907 714037043814 1071055565721 2142111131442