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42412112112 = 2433539249671
BaseRepresentation
bin100111011111111101…
…010111100011110000
311001110202212112021010
4213133331113203300
51143330000041422
631252302430520
73031004001426
oct473775274360
9131422775233
1042412112112
1116a94593627
128277892440
133ccba1c236
1420a4aa1116
151183651b0c
hex9dff578f0

42412112112 has 40 divisors (see below), whose sum is σ = 109596021120. Its totient is φ = 14133319360.

The previous prime is 42412112107. The next prime is 42412112117. The reversal of 42412112112 is 21121121424.

It is an interprime number because it is at equal distance from previous prime (42412112107) and next prime (42412112117).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42412112117) 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 7 ways as a sum of consecutive naturals, for example, 45037 + ... + 294707.

It is an arithmetic number, because the mean of its divisors is an integer number (2739900528).

Almost surely, 242412112112 is an apocalyptic number.

It is an amenable number.

42412112112 is an abundant number, since it is smaller than the sum of its proper divisors (67183909008).

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

42412112112 is a wasteful number, since it uses less digits than its factorization.

42412112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253221 (or 253215 counting only the distinct ones).

The product of its digits is 256, while the sum is 21.

Adding to 42412112112 its reverse (21121121424), we get a palindrome (63533233536).

The spelling of 42412112112 in words is "forty-two billion, four hundred twelve million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 3539 7078 10617 14156 21234 28312 42468 56624 84936 169872 249671 499342 749013 998684 1498026 1997368 2996052 3994736 5992104 11984208 883585669 1767171338 2650757007 3534342676 5301514014 7068685352 10603028028 14137370704 21206056056 42412112112