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13412441412 = 2232599621983
BaseRepresentation
bin11000111110111000…
…11001110101000100
31021121201212121201100
430133130121311010
5204432041111122
610054523100100
7653241604506
oct143734316504
937551777640
1013412441412
115762a78827
122723971630
13135997b186
1491344bd76
15537771aac
hex31f719d44

13412441412 has 36 divisors (see below), whose sum is σ = 33960326400. Its totient is φ = 4463342832.

The previous prime is 13412441321. The next prime is 13412441417. The reversal of 13412441412 is 21414421431.

13412441412 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 244 + 1 + 412 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13412441417) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 289428 + ... + 332555.

It is an arithmetic number, because the mean of its divisors is an integer number (943342400).

Almost surely, 213412441412 is an apocalyptic number.

13412441412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13412441412 is an abundant number, since it is smaller than the sum of its proper divisors (20547884988).

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

13412441412 is a wasteful number, since it uses less digits than its factorization.

13412441412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622592 (or 622587 counting only the distinct ones).

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

Adding to 13412441412 its reverse (21414421431), we get a palindrome (34826862843).

The spelling of 13412441412 in words is "thirteen billion, four hundred twelve million, four hundred forty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 599 1198 1797 2396 3594 5391 7188 10782 21564 621983 1243966 1865949 2487932 3731898 5597847 7463796 11195694 22391388 372567817 745135634 1117703451 1490271268 2235406902 3353110353 4470813804 6706220706 13412441412