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13043444400012 = 22313293677856039
BaseRepresentation
bin1011110111001110100111…
…0111101011111110001100
31201011221102001210201022210
42331303221313223332030
53202200433231300022
643424024200510420
72514233466041625
oct275635167537614
951157361721283
1013043444400012
11417976a35a514
121567aa717b410
13737cb750aca0
1433143dc3aa4c
15179453746a0c
hexbdce9debf8c

13043444400012 has 96 divisors (see below), whose sum is σ = 33998427187200. Its totient is φ = 3864416516352.

The previous prime is 13043444400011. The next prime is 13043444400013. The reversal of 13043444400012 is 21000444434031.

It is an interprime number because it is at equal distance from previous prime (13043444400011) and next prime (13043444400013).

It is not an unprimeable number, because it can be changed into a prime (13043444400011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2267712 + ... + 5588327.

It is an arithmetic number, because the mean of its divisors is an integer number (354150283200).

Almost surely, 213043444400012 is an apocalyptic number.

13043444400012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13043444400012 is an abundant number, since it is smaller than the sum of its proper divisors (20954982787188).

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

13043444400012 is a wasteful number, since it uses less digits than its factorization.

13043444400012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7856455 (or 7856453 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 13043444400012 its reverse (21000444434031), we get a palindrome (34043888834043).

The spelling of 13043444400012 in words is "thirteen trillion, forty-three billion, four hundred forty-four million, four hundred thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 116 156 174 348 367 377 734 754 1101 1131 1468 1508 2202 2262 4404 4524 4771 9542 10643 14313 19084 21286 28626 31929 42572 57252 63858 127716 138359 276718 415077 553436 830154 1660308 7856039 15712078 23568117 31424156 47136234 94272468 102128507 204257014 227825131 306385521 408514028 455650262 612771042 683475393 911300524 1225542084 1366950786 2733901572 2883166313 2961726703 5766332626 5923453406 8649498939 8885180109 11532665252 11846906812 17298997878 17770360218 34597995756 35540720436 37481162069 74962324138 83611823077 112443486207 149924648276 167223646154 224886972414 250835469231 334447292308 449773944828 501670938462 1003341876924 1086953700001 2173907400002 3260861100003 4347814800004 6521722200006 13043444400012