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142314044131 = 71919314713769
BaseRepresentation
bin1000010010001010010…
…0111111101011100011
3111121100002222111112101
42010202210333223203
54312424343403011
6145213403511231
713165450262440
oct2044244775343
9447302874471
10142314044131
115539a627806
12236b8828517
131056011368c
146c60ab49c7
153a7de692c1
hex212293fae3

142314044131 has 32 divisors (see below), whose sum is σ = 172254617600. Its totient is φ = 114855874560.

The previous prime is 142314044111. The next prime is 142314044141. The reversal of 142314044131 is 131440413241.

142314044131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 142314044131 - 221 = 142311946979 is a prime.

It is a super-2 number, since 2×1423140441312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 142314044131.

It is not an unprimeable number, because it can be changed into a prime (142314044111) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 37757215 + ... + 37760983.

It is an arithmetic number, because the mean of its divisors is an integer number (5382956800).

Almost surely, 2142314044131 is an apocalyptic number.

142314044131 is a deficient number, since it is larger than the sum of its proper divisors (29940573469).

142314044131 is a wasteful number, since it uses less digits than its factorization.

142314044131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5459.

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 142314044131 its reverse (131440413241), we get a palindrome (273754457372).

The spelling of 142314044131 in words is "one hundred forty-two billion, three hundred fourteen million, forty-four thousand, one hundred thirty-one".

Divisors: 1 7 19 133 193 1351 1471 3667 3769 10297 25669 26383 27949 71611 195643 283903 501277 727417 1987321 5091919 5394157 5544199 13820923 37759099 38809393 96746461 105339781 737378467 1070030407 7490212849 20330577733 142314044131