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312342404403241 = 3743736134387099
BaseRepresentation
bin100011100000100101110001…
…0000100000001000000101001
31111221220122100012022121002001
41013001023202010001000221
5311414404221011400431
63024144041505011001
7122534664645061642
oct10701134204010051
91457818305277061
10312342404403241
1190581740599383
122b046073323a61
13105389bab73764
14571b64b1ac6c9
152619b21a6ae61
hex11c12e2101029

312342404403241 has 32 divisors (see below), whose sum is σ = 333283564803200. Its totient is φ = 292289386443264.

The previous prime is 312342404403193. The next prime is 312342404403251. The reversal of 312342404403241 is 142304404243213.

It is a cyclic number.

It is not a de Polignac number, because 312342404403241 - 229 = 312341867532329 is a prime.

It is a super-3 number, since 3×3123424044032413 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 312342404403241.

It is not an unprimeable number, because it can be changed into a prime (312342404403251) 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, 69002110 + ... + 73389208.

It is an arithmetic number, because the mean of its divisors is an integer number (10415111400100).

Almost surely, 2312342404403241 is an apocalyptic number.

It is an amenable number.

312342404403241 is a deficient number, since it is larger than the sum of its proper divisors (20941160399959).

312342404403241 is a wasteful number, since it uses less digits than its factorization.

312342404403241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4387865.

The product of its (nonzero) digits is 221184, while the sum is 37.

Adding to 312342404403241 its reverse (142304404243213), we get a palindrome (454646808646454).

The spelling of 312342404403241 in words is "three hundred twelve trillion, three hundred forty-two billion, four hundred four million, four hundred three thousand, two hundred forty-one".

Divisors: 1 37 43 73 613 1591 2701 3139 22681 26359 44749 116143 975283 1655713 1924207 4387099 71195659 162322663 188645257 320258227 2689291687 6979874509 11849554399 13771103761 99503792419 115639542541 196318293151 509530839157 4278663074017 7263776846587 8441686605493 312342404403241