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142041131442 = 23373112121619
BaseRepresentation
bin1000010001001001001…
…1111010100110110010
3111120122002110002201000
42010102103322212302
54311400012201232
6145130334222430
713155624460560
oct2042223724662
9446562402630
10142041131442
115526a574431
1223641354a16
131051870ab92
146c36752a30
153a6500b27c
hex21124fa9b2

142041131442 has 64 divisors (see below), whose sum is σ = 372376166400. Its totient is φ = 39274042320.

The previous prime is 142041131423. The next prime is 142041131489. The reversal of 142041131442 is 244131140241.

142041131442 is a `hidden beast` number, since 1 + 4 + 204 + 1 + 13 + 1 + 442 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6049092 + ... + 6072527.

It is an arithmetic number, because the mean of its divisors is an integer number (5818377600).

Almost surely, 2142041131442 is an apocalyptic number.

142041131442 is an abundant number, since it is smaller than the sum of its proper divisors (230335034958).

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

142041131442 is a wasteful number, since it uses less digits than its factorization.

142041131442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12121668 (or 12121662 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 142041131442 its reverse (244131140241), we get a palindrome (386172271683).

The spelling of 142041131442 in words is "one hundred forty-two billion, forty-one million, one hundred thirty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 93 126 186 189 217 279 378 434 558 651 837 1302 1674 1953 3906 5859 11718 12121619 24243238 36364857 72729714 84851333 109094571 169702666 218189142 254553999 327283713 375770189 509107998 654567426 751540378 763661997 1127310567 1527323994 2254621134 2290985991 2630391323 3381931701 4581971982 5260782646 6763863402 7891173969 10145795103 15782347938 20291590206 23673521907 47347043814 71020565721 142041131442