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13443114126 = 23132173197389
BaseRepresentation
bin11001000010100010…
…11010010010001110
31021200212120221202210
430201101122102032
5210012414123001
610101540331250
7654063404361
oct144121322216
937625527683
1013443114126
115779318682
1227320a3b26
13136312a400
149175540d8
1553a2cedd6
hex32145a48e

13443114126 has 96 divisors (see below), whose sum is σ = 29506070880. Its totient is φ = 4081039872.

The previous prime is 13443114121. The next prime is 13443114127. The reversal of 13443114126 is 62141134431.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13443114093 and 13443114102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13443114121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34557940 + ... + 34558328.

It is an arithmetic number, because the mean of its divisors is an integer number (307354905).

Almost surely, 213443114126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13443114126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14753035440).

13443114126 is an abundant number, since it is smaller than the sum of its proper divisors (16062956754).

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

13443114126 is a wasteful number, since it uses less digits than its factorization.

13443114126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 777 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

Adding to 13443114126 its reverse (62141134431), we get a palindrome (75584248557).

The spelling of 13443114126 in words is "thirteen billion, four hundred forty-three million, one hundred fourteen thousand, one hundred twenty-six".

Divisors: 1 2 3 6 13 26 39 78 169 173 197 338 346 389 394 507 519 591 778 1014 1038 1167 1182 2249 2334 2561 4498 5057 5122 6747 7683 10114 13494 15171 15366 29237 30342 33293 34081 58474 65741 66586 67297 68162 76633 87711 99879 102243 131482 134594 153266 175422 197223 199758 201891 204486 229899 394446 403782 443053 459798 874861 886106 996229 1329159 1749722 1992458 2624583 2658318 2988687 5249166 5759689 5977374 11373193 11519378 12950977 13257509 17279067 22746386 25901954 26515018 34119579 34558134 38852931 39772527 68239158 77705862 79545054 172347617 344695234 517042851 1034085702 2240519021 4481038042 6721557063 13443114126