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13344141141 = 3279151112421
BaseRepresentation
bin11000110110101111…
…10110111101010101
31021102222100121100200
430123113312331111
5204312100004031
610044043131113
7651452220402
oct143327667525
937388317320
1013344141141
115728468821
122704b13a99
131348786206
1490834d2a9
1553177e8e6
hex31b5f6f55

13344141141 has 24 divisors (see below), whose sum is σ = 19533346560. Its totient is φ = 8776965600.

The previous prime is 13344141119. The next prime is 13344141149. The reversal of 13344141141 is 14114144331.

13344141141 is a `hidden beast` number, since 133 + 4 + 414 + 114 + 1 = 666.

It is not a de Polignac number, because 13344141141 - 211 = 13344139093 is a prime.

It is a super-2 number, since 2×133441411412 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13344141149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1068111 + ... + 1080531.

It is an arithmetic number, because the mean of its divisors is an integer number (813889440).

Almost surely, 213344141141 is an apocalyptic number.

It is an amenable number.

13344141141 is a deficient number, since it is larger than the sum of its proper divisors (6189205419).

13344141141 is a wasteful number, since it uses less digits than its factorization.

13344141141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14017 (or 14014 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 13344141141 its reverse (14114144331), we get a palindrome (27458285472).

The spelling of 13344141141 in words is "thirteen billion, three hundred forty-four million, one hundred forty-one thousand, one hundred forty-one".

Divisors: 1 3 9 79 237 711 1511 4533 12421 13599 37263 111789 119369 358107 981259 1074321 2943777 8831331 18768131 56304393 168913179 1482682349 4448047047 13344141141