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12444311214 = 2323142152973
BaseRepresentation
bin10111001011011110…
…10001111010101110
31012010021011111202100
423211233101322232
5200441220424324
65414500435530
7620244620466
oct134557217256
935107144670
1012444311214
115306542225
1224b36a8ba6
13123421c07a
14860a38ba6
154cc7884c9
hex2e5bd1eae

12444311214 has 48 divisors (see below), whose sum is σ = 27899074944. Its totient is φ = 4004683200.

The previous prime is 12444311203. The next prime is 12444311227. The reversal of 12444311214 is 41211344421.

12444311214 is a `hidden beast` number, since 1 + 2 + 4 + 443 + 1 + 1 + 214 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208432 + ... + 261404.

It is an arithmetic number, because the mean of its divisors is an integer number (581230728).

Almost surely, 212444311214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12444311214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13949537472).

12444311214 is an abundant number, since it is smaller than the sum of its proper divisors (15454763730).

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

12444311214 is a wasteful number, since it uses less digits than its factorization.

12444311214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53433 (or 53430 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 12444311214 its reverse (41211344421), we get a palindrome (53655655635).

The spelling of 12444311214 in words is "twelve billion, four hundred forty-four million, three hundred eleven thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 421 558 842 1263 2526 3789 7578 13051 26102 39153 52973 78306 105946 117459 158919 234918 317838 476757 953514 1642163 3284326 4926489 9852978 14779467 22301633 29558934 44603266 66904899 133809798 200714697 401429394 691350623 1382701246 2074051869 4148103738 6222155607 12444311214