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42231322313224 = 2311479901389923
BaseRepresentation
bin10011001101000101111101…
…11101110000001000001000
312112112021102110111220212221
421212202332331300020020
521013404222003010344
6225452445053143424
711616053351550202
oct1146427675601010
9175467373456787
1042231322313224
1112502226528630
1248a086848ab74
131a74520461345
14a60014d43772
154d3800de4184
hex2668bef70208

42231322313224 has 16 divisors (see below), whose sum is σ = 86382250186320. Its totient is φ = 19196055596880.

The previous prime is 42231322313161. The next prime is 42231322313237.

It is a happy number.

42231322313224 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×422313223132242 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42231322313224.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 239950694874 + ... + 239950695049.

It is an arithmetic number, because the mean of its divisors is an integer number (5398890636645).

Almost surely, 242231322313224 is an apocalyptic number.

42231322313224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42231322313224 is an abundant number, since it is smaller than the sum of its proper divisors (44150927873096).

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

42231322313224 is a wasteful number, since it uses less digits than its factorization.

42231322313224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479901389940 (or 479901389936 counting only the distinct ones).

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

It can be divided in two parts, 4223132 and 2313224, that added together give a palindrome (6536356).

The spelling of 42231322313224 in words is "forty-two trillion, two hundred thirty-one billion, three hundred twenty-two million, three hundred thirteen thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 88 479901389923 959802779846 1919605559692 3839211119384 5278915289153 10557830578306 21115661156612 42231322313224