Search a number
-
+
13444423201 = 1131411019521
BaseRepresentation
bin11001000010101100…
…11001111000100001
31021200222001110111001
430201112121320201
5210013233020301
610102024352001
7654110466046
oct144126317041
937628043431
1013444423201
11577a032160
122732615601
131363498201
149177b51cd
1553a48cc01
hex321599e21

13444423201 has 32 divisors (see below), whose sum is σ = 15664223232. Its totient is φ = 11424000000.

The previous prime is 13444423177. The next prime is 13444423207. The reversal of 13444423201 is 10232444431.

It is a cyclic number.

It is not a de Polignac number, because 13444423201 - 211 = 13444421153 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13444423201.

It is not an unprimeable number, because it can be changed into a prime (13444423207) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1407321 + ... + 1416841.

It is an arithmetic number, because the mean of its divisors is an integer number (489506976).

Almost surely, 213444423201 is an apocalyptic number.

13444423201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13444423201 is a deficient number, since it is larger than the sum of its proper divisors (2219800031).

13444423201 is a wasteful number, since it uses less digits than its factorization.

13444423201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9705.

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 13444423201 its reverse (10232444431), we get a palindrome (23676867632).

It can be divided in two parts, 13444 and 423201, that added together give a triangular number (436645 = T934).

The spelling of 13444423201 in words is "thirteen billion, four hundred forty-four million, four hundred twenty-three thousand, two hundred one".

Divisors: 1 11 31 41 101 341 451 1111 1271 3131 4141 9521 13981 34441 45551 104731 128371 295151 390361 961621 1412081 3246661 4293971 10577831 12101191 29810251 39426461 133113101 327912761 433691071 1222220291 13444423201