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42412041331241 = 433079221348421
BaseRepresentation
bin10011010010010110100101…
…01010000110001000101001
312120011112220002020020102112
421221023102222012020221
521024334330040044431
6230111453421012105
711635111631060561
oct1151132252061051
9176145802206375
1042412041331241
111257193371967a
12490b8a29b4035
131a8859104342a
14a68a7a427da1
154d837b7c9c2b
hex2692d2a86229

42412041331241 has 16 divisors (see below), whose sum is σ = 43544577413568. Its totient is φ = 41286181204800.

The previous prime is 42412041331201. The next prime is 42412041331301. The reversal of 42412041331241 is 14213314021424.

It is a cyclic number.

It is not a de Polignac number, because 42412041331241 - 238 = 42137163424297 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42412041331198 and 42412041331207.

It is not an unprimeable number, because it can be changed into a prime (42412041331201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121552211 + ... + 121900631.

It is an arithmetic number, because the mean of its divisors is an integer number (2721536088348).

Almost surely, 242412041331241 is an apocalyptic number.

It is an amenable number.

42412041331241 is a deficient number, since it is larger than the sum of its proper divisors (1132536082327).

42412041331241 is a wasteful number, since it uses less digits than its factorization.

42412041331241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357992.

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 42412041331241 its reverse (14213314021424), we get a palindrome (56625355352665).

The spelling of 42412041331241 in words is "forty-two trillion, four hundred twelve billion, forty-one million, three hundred thirty-one thousand, two hundred forty-one".

Divisors: 1 43 307 9221 13201 348421 396503 2830847 14982103 106965247 121726421 3212790041 4599505621 138149971763 986326542587 42412041331241