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12444113022 = 23117911321121
BaseRepresentation
bin10111001011011101…
…00001100001111110
31012010020210102212220
423211232201201332
5200441143104042
65414452310210
7620243133615
oct134556414176
935106712786
1012444113022
115306417330
1224b3612366
13123417cab3
148609c687c
154cc7498ec
hex2e5ba187e

12444113022 has 64 divisors (see below), whose sum is σ = 27739100160. Its totient is φ = 3690086400.

The previous prime is 12444113021. The next prime is 12444113047. The reversal of 12444113022 is 22031144421.

It is a junction number, because it is equal to n+sod(n) for n = 12444112983 and 12444113001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12444113021) 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 31 ways as a sum of consecutive naturals, for example, 578622 + ... + 599742.

It is an arithmetic number, because the mean of its divisors is an integer number (433423440).

Almost surely, 212444113022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12444113022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13869550080).

12444113022 is an abundant number, since it is smaller than the sum of its proper divisors (15294987138).

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

12444113022 is a wasteful number, since it uses less digits than its factorization.

12444113022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21329.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12444113022 its reverse (22031144421), we get a palindrome (34475257443).

The spelling of 12444113022 in words is "twelve billion, four hundred forty-four million, one hundred thirteen thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 66 79 113 158 226 237 339 474 678 869 1243 1738 2486 2607 3729 5214 7458 8927 17854 21121 26781 42242 53562 63363 98197 126726 196394 232331 294591 464662 589182 696993 1393986 1668559 2386673 3337118 4773346 5005677 7160019 10011354 14320038 18354149 26253403 36708298 52506806 55062447 78760209 110124894 157520418 188547167 377094334 565641501 1131283002 2074018837 4148037674 6222056511 12444113022