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314412342013 = 71129140802661
BaseRepresentation
bin1001001001101000110…
…11111001101011111101
31010001112221021212020001
410210310123321223331
520122404024421023
6400234455354301
731500300545230
oct4446433715375
91101487255201
10314412342013
11111383630160
1250b28082991
13238589b0933
14113092b3417
1582a2ae26ad
hex49346f9afd

314412342013 has 16 divisors (see below), whose sum is σ = 405511666560. Its totient is φ = 236548468800.

The previous prime is 314412341923. The next prime is 314412342037. The reversal of 314412342013 is 310243214413.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-314412342013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314412342913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70399098 + ... + 70403563.

It is an arithmetic number, because the mean of its divisors is an integer number (25344479160).

Almost surely, 2314412342013 is an apocalyptic number.

It is an amenable number.

314412342013 is a deficient number, since it is larger than the sum of its proper divisors (91099324547).

314412342013 is a wasteful number, since it uses less digits than its factorization.

314412342013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140802708.

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 314412342013 its reverse (310243214413), we get a palindrome (624655556426).

The spelling of 314412342013 in words is "three hundred fourteen billion, four hundred twelve million, three hundred forty-two thousand, thirteen".

Divisors: 1 7 11 29 77 203 319 2233 140802661 985618627 1548829271 4083277169 10841804897 28582940183 44916048859 314412342013