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12214424444144 = 2413474432820383
BaseRepresentation
bin1011000110111110010001…
…1011100001110011110000
31121020200120020111110202212
42301233210123201303300
53100110120124203034
641551121254031252
72400314552505356
oct261574433416360
947220506443685
1012214424444144
11398a12119541a
1214532a2048528
136a7a7a23a3c0
143032776a17d6
15162ad28b92ce
hexb1be46e1cf0

12214424444144 has 80 divisors (see below), whose sum is σ = 26086882332672. Its totient is φ = 5505024655104.

The previous prime is 12214424444081. The next prime is 12214424444149. The reversal of 12214424444144 is 44144442441221.

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 (12214424444149) 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 15 ways as a sum of consecutive naturals, for example, 2920577 + ... + 5740959.

Almost surely, 212214424444144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12214424444144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13043441166336).

12214424444144 is an abundant number, since it is smaller than the sum of its proper divisors (13872457888528).

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

12214424444144 is a wasteful number, since it uses less digits than its factorization.

12214424444144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2820894 (or 2820888 counting only the distinct ones).

The product of its digits is 524288, while the sum is 41.

Adding to 12214424444144 its reverse (44144442441221), we get a palindrome (56358866885365).

The spelling of 12214424444144 in words is "twelve trillion, two hundred fourteen billion, four hundred twenty-four million, four hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 47 52 94 104 188 208 376 443 611 752 886 1222 1772 2444 3544 4888 5759 7088 9776 11518 20821 23036 41642 46072 83284 92144 166568 270673 333136 541346 1082692 2165384 2820383 4330768 5640766 11281532 22563064 36664979 45126128 73329958 132558001 146659916 265116002 293319832 530232004 586639664 1060464008 1249429669 1723254013 2120928016 2498859338 3446508026 4997718676 6893016052 9995437352 13786032104 16242585697 19990874704 27572064208 32485171394 58723194443 64970342788 117446388886 129940685576 234892777772 259881371152 469785555544 763401527759 939571111088 1526803055518 3053606111036 6107212222072 12214424444144