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142122222024 = 2338371346497
BaseRepresentation
bin1000010001011100100…
…1010000000111001000
3111120211202000221001220
42010113021100013020
54312031242101044
6145142352242040
713160630645346
oct2042711200710
9446752027056
10142122222024
115530131aa42
1223664540320
131052c460783
146c43420996
153a6c1c8019
hex21172501c8

142122222024 has 32 divisors (see below), whose sum is σ = 359586349920. Its totient is φ = 46803301376.

The previous prime is 142122222023. The next prime is 142122222041. The reversal of 142122222024 is 420222221241.

142122222024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 142122221985 and 142122222003.

It is not an unprimeable number, because it can be changed into a prime (142122222023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35671257 + ... + 35675240.

It is an arithmetic number, because the mean of its divisors is an integer number (11237073435).

Almost surely, 2142122222024 is an apocalyptic number.

It is an amenable number.

142122222024 is an abundant number, since it is smaller than the sum of its proper divisors (217464127896).

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

142122222024 is a wasteful number, since it uses less digits than its factorization.

142122222024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71346589 (or 71346585 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 142122222024 its reverse (420222221241), we get a palindrome (562344443265).

The spelling of 142122222024 in words is "one hundred forty-two billion, one hundred twenty-two million, two hundred twenty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 83 166 249 332 498 664 996 1992 71346497 142692994 214039491 285385988 428078982 570771976 856157964 1712315928 5921759251 11843518502 17765277753 23687037004 35530555506 47374074008 71061111012 142122222024