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12344413311 = 333116390481
BaseRepresentation
bin10110111111100100…
…01100110001111111
31011212022012011121000
423133302030301333
5200240132211221
65400531341343
7614622532116
oct133762146177
934768164530
1012344413311
11526511047a
122486151853
131219612b99
14851672c7d
154c3b03e26
hex2dfc8cc7f

12344413311 has 32 divisors (see below), whose sum is σ = 18993981440. Its totient is φ = 7915190400.

The previous prime is 12344413247. The next prime is 12344413351. The reversal of 12344413311 is 11331444321.

12344413311 is a `hidden beast` number, since 1 + 2 + 344 + 4 + 1 + 3 + 311 = 666.

It is not a de Polignac number, because 12344413311 - 26 = 12344413247 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12344413351) 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, 91191 + ... + 181671.

It is an arithmetic number, because the mean of its divisors is an integer number (593561920).

Almost surely, 212344413311 is an apocalyptic number.

12344413311 is a deficient number, since it is larger than the sum of its proper divisors (6649568129).

12344413311 is a wasteful number, since it uses less digits than its factorization.

12344413311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90684 (or 90678 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 12344413311 its reverse (11331444321), we get a palindrome (23675857632).

The spelling of 12344413311 in words is "twelve billion, three hundred forty-four million, four hundred thirteen thousand, three hundred eleven".

Divisors: 1 3 9 27 31 93 163 279 489 837 1467 4401 5053 15159 45477 90481 136431 271443 814329 2442987 2804911 8414733 14748403 25244199 44245209 75732597 132735627 398206881 457200493 1371601479 4114804437 12344413311