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42312233221324 = 22111756567156713
BaseRepresentation
bin10011001111011100101011…
…01000010111110011001100
312112211000021021122220212221
421213232111220113303030
521021220423201040244
6225553545510505124
711624646404121433
oct1147562550276314
9175730237586787
1042312233221324
1112533576637420
1248b44893651a4
131a7c04620b821
14a63ccca7811a
154d5989346784
hex267b95a17ccc

42312233221324 has 24 divisors (see below), whose sum is σ = 85529540951568. Its totient is φ = 18101490147840.

The previous prime is 42312233221249. The next prime is 42312233221327.

It is a happy number.

42312233221324 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 42312233221324.

It is not an unprimeable number, because it can be changed into a prime (42312233221327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28283577609 + ... + 28283579104.

It is an arithmetic number, because the mean of its divisors is an integer number (3563730872982).

Almost surely, 242312233221324 is an apocalyptic number.

42312233221324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42312233221324 is an abundant number, since it is smaller than the sum of its proper divisors (43217307730244).

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

42312233221324 is a wasteful number, since it uses less digits than its factorization.

42312233221324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56567156745 (or 56567156743 counting only the distinct ones).

The product of its digits is 82944, while the sum is 34.

It can be divided in two parts, 4231223 and 3221324, that added together give a palindrome (7452547).

The spelling of 42312233221324 in words is "forty-two trillion, three hundred twelve billion, two hundred thirty-three million, two hundred twenty-one thousand, three hundred twenty-four".

Divisors: 1 2 4 11 17 22 34 44 68 187 374 748 56567156713 113134313426 226268626852 622238723843 961641664121 1244477447686 1923283328242 2488954895372 3846566656484 10578058305331 21156116610662 42312233221324