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242314104114 = 23292914490737
BaseRepresentation
bin1110000110101100001…
…0111100110100110010
3212011110021201220001200
43201223002330310302
512432224402312424
6303152332112030
723335524621015
oct3415302746462
9764407656050
10242314104114
1193845aa3985
123ab66605616
1319b089444c4
14ba29b4d37c
1564831b68c9
hex386b0bcd32

242314104114 has 24 divisors (see below), whose sum is σ = 525579067260. Its totient is φ = 80684418048.

The previous prime is 242314104107. The next prime is 242314104163. The reversal of 242314104114 is 411401413242.

242314104114 is a `hidden beast` number, since 2 + 4 + 231 + 4 + 10 + 411 + 4 = 666.

242314104114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 223083348489 + 19230755625 = 472317^2 + 138675^2 .

It is a super-2 number, since 2×2423141041142 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7228647 + ... + 7262090.

Almost surely, 2242314104114 is an apocalyptic number.

242314104114 is an abundant number, since it is smaller than the sum of its proper divisors (283264963146).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242314104114 is a wasteful number, since it uses less digits than its factorization.

242314104114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14491674 (or 14491671 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 242314104114 its reverse (411401413242), we get a palindrome (653715517356).

The spelling of 242314104114 in words is "two hundred forty-two billion, three hundred fourteen million, one hundred four thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 929 1858 2787 5574 8361 16722 14490737 28981474 43472211 86944422 130416633 260833266 13461894673 26923789346 40385684019 80771368038 121157052057 242314104114