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1001242142442 = 23255624563469
BaseRepresentation
bin11101001000111101010…
…11101010011011101010
310112201101021201210120200
432210132223222123222
5112401020442024232
62043544141533030
7132223466534403
oct16443653523352
93481337653520
101001242142442
113566960a59a3
12142069b74176
1373555726a79
14366633c69aa
151b0a082877c
hexe91eaea6ea

1001242142442 has 12 divisors (see below), whose sum is σ = 2169357975330. Its totient is φ = 333747380808.

The previous prime is 1001242142423. The next prime is 1001242142443. The reversal of 1001242142442 is 2442412421001.

1001242142442 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 2 + 4 + 214 + 2 + 442 = 666.

It can be written as a sum of positive squares in only one way, i.e., 710765338761 + 290476803681 = 843069^2 + 538959^2 .

It is not an unprimeable number, because it can be changed into a prime (1001242142443) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 27812281717 + ... + 27812281752.

Almost surely, 21001242142442 is an apocalyptic number.

1001242142442 is an abundant number, since it is smaller than the sum of its proper divisors (1168115832888).

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

1001242142442 is a wasteful number, since it uses less digits than its factorization.

1001242142442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55624563477 (or 55624563474 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 1001242142442 its reverse (2442412421001), we get a palindrome (3443654563443).

The spelling of 1001242142442 in words is "one trillion, one billion, two hundred forty-two million, one hundred forty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 55624563469 111249126938 166873690407 333747380814 500621071221 1001242142442