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311343430342041 = 32791709256228859
BaseRepresentation
bin100011011001010100100101…
…0100100011001010110011001
31111211101010210222101021001100
41012302221022210121112121
5311302022321131421131
63022101110343542013
7122402551305466056
oct10662511244312631
91454333728337040
10311343430342041
11902270097a3499
122ab04538a5a909
13104957372c76c6
1456c516110602d
1525edb5540b7e6
hex11b2a4a919599

311343430342041 has 24 divisors (see below), whose sum is σ = 455677404624000. Its totient is φ = 204815000269152.

The previous prime is 311343430342039. The next prime is 311343430342069. The reversal of 311343430342041 is 140243034343113.

311343430342041 is a `hidden beast` number, since 3 + 1 + 1 + 343 + 4 + 303 + 4 + 2 + 0 + 4 + 1 = 666.

It is not a de Polignac number, because 311343430342041 - 21 = 311343430342039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 311343430341987 and 311343430342005.

It is not an unprimeable number, because it can be changed into a prime (311343430342031) 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, 126899331 + ... + 129329528.

It is an arithmetic number, because the mean of its divisors is an integer number (18986558526000).

Almost surely, 2311343430342041 is an apocalyptic number.

It is an amenable number.

311343430342041 is a deficient number, since it is larger than the sum of its proper divisors (144333974281959).

311343430342041 is a wasteful number, since it uses less digits than its factorization.

311343430342041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256230653 (or 256230650 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 311343430342041 its reverse (140243034343113), we get a palindrome (451586464685154).

The spelling of 311343430342041 in words is "three hundred eleven trillion, three hundred forty-three billion, four hundred thirty million, three hundred forty-two thousand, forty-one".

Divisors: 1 3 9 79 237 711 1709 5127 15381 135011 405033 1215099 256228859 768686577 2306059731 20242079861 60726239583 182178718749 437895120031 1313685360093 3941056080279 34593714482449 103781143447347 311343430342041