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232024141420232 = 2376167922758027
BaseRepresentation
bin110100110000011001010100…
…100001110101011011001000
31010102112021212100111212210212
4310300121110201311123020
5220402440420200421412
62141250230304100252
766605122344136340
oct6460312441653310
91112467770455725
10232024141420232
1167a25981a7a557
12220339bb604688
139c60a23645425
144142057b8dd20
151bc573146e222
hexd306548756c8

232024141420232 has 32 divisors (see below), whose sum is σ = 505345319728320. Its totient is φ = 97808771557440.

The previous prime is 232024141420199. The next prime is 232024141420273.

232024141420232 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×2320241414202323 (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33961375598 + ... + 33961382429.

It is an arithmetic number, because the mean of its divisors is an integer number (15792041241510).

Almost surely, 2232024141420232 is an apocalyptic number.

It is an amenable number.

232024141420232 is an abundant number, since it is smaller than the sum of its proper divisors (273321178308088).

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

232024141420232 is a wasteful number, since it uses less digits than its factorization.

232024141420232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67922758101 (or 67922758097 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The spelling of 232024141420232 in words is "two hundred thirty-two trillion, twenty-four billion, one hundred forty-one million, four hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 56 61 122 244 427 488 854 1708 3416 67922758027 135845516054 271691032108 475459306189 543382064216 950918612378 1901837224756 3803674449512 4143288239647 8286576479294 16573152958588 29003017677529 33146305917176 58006035355058 116012070710116 232024141420232