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241323222323142 = 23287498715322337
BaseRepresentation
bin110110110111101101110000…
…111100010100111111000110
31011122110021102021210202201100
4312313231300330110333012
5223112314424403320032
62213130205144240530
7101555012262503031
oct6667556074247706
91148407367722640
10241323222323142
116a990670799703
1223096082a70146
13a4868b3ab1b8b
14438416b8ca018
151cd75867a997c
hexdb7b70f14fc6

241323222323142 has 24 divisors (see below), whose sum is σ = 522867613395816. Its totient is φ = 80440976923776.

The previous prime is 241323222323123. The next prime is 241323222323153.

241323222323142 is a `hidden beast` number, since 2 + 4 + 1 + 3 + 2 + 322 + 2 + 323 + 1 + 4 + 2 = 666.

241323222323142 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2413232223231422 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 241323222323097 and 241323222323106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8088598 + ... + 23410934.

It is an arithmetic number, because the mean of its divisors is an integer number (21786150558159).

Almost surely, 2241323222323142 is an apocalyptic number.

241323222323142 is an abundant number, since it is smaller than the sum of its proper divisors (281544391072674).

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

241323222323142 is a wasteful number, since it uses less digits than its factorization.

241323222323142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16197332 (or 16197329 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

The spelling of 241323222323142 in words is "two hundred forty-one trillion, three hundred twenty-three billion, two hundred twenty-two million, three hundred twenty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 874987 1749974 2624961 5249922 7874883 15322337 15749766 30644674 45967011 91934022 137901033 275802066 13406845684619 26813691369238 40220537053857 80441074107714 120661611161571 241323222323142