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312340014042021 = 33722749114827177
BaseRepresentation
bin100011100000100100101001…
…1100101100000101110100101
31111221220102011121102122221000
41013001021103211200232211
5311414334322043321041
63024143004355143513
7122534551501251540
oct10701112345405645
91457812147378830
10312340014042021
119058072426a639
122b0457068a4b99
13105386c9881134
14571b4a193b857
152619a31c9abb6
hex11c1253960ba5

312340014042021 has 64 divisors (see below), whose sum is σ = 532241126184960. Its totient is φ = 177331838785920.

The previous prime is 312340014042019. The next prime is 312340014042059. The reversal of 312340014042021 is 120240410043213.

312340014042021 is a `hidden beast` number, since 3 + 1 + 234 + 0 + 0 + 1 + 4 + 0 + 420 + 2 + 1 = 666.

It is not a de Polignac number, because 312340014042021 - 21 = 312340014042019 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312340014042071) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13651785 + ... + 28478961.

It is an arithmetic number, because the mean of its divisors is an integer number (8316267596640).

Almost surely, 2312340014042021 is an apocalyptic number.

It is an amenable number.

312340014042021 is a deficient number, since it is larger than the sum of its proper divisors (219901112142939).

312340014042021 is a wasteful number, since it uses less digits than its factorization.

312340014042021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14827911 (or 14827905 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 312340014042021 its reverse (120240410043213), we get a palindrome (432580424085234).

The spelling of 312340014042021 in words is "three hundred twelve trillion, three hundred forty billion, fourteen million, forty-two thousand, twenty-one".

Divisors: 1 3 7 9 21 27 63 189 227 491 681 1473 1589 2043 3437 4419 4767 6129 10311 13257 14301 30933 42903 92799 111457 334371 780199 1003113 2340597 3009339 7021791 14827177 21065373 44481531 103790239 133444593 311370717 400333779 934112151 2802336453 3365769179 7280143907 10097307537 21840431721 23560384253 30291922611 50961007349 65521295163 70681152759 90875767833 152883022047 196563885489 212043458277 458649066141 636130374831 1375947198423 1652592666889 4957778000667 11568148668223 14873334002001 34704446004669 44620002006003 104113338014007 312340014042021