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234422424224432 = 242910121292349547
BaseRepresentation
bin110101010011010010111001…
…010100101100001010110000
31010202000120020210201111222022
4311103102321110230022300
5221211234111100140212
62150324101443531012
7100243314130463603
oct6523227124541260
91122016223644868
10234422424224432
116876aaa0105054
1222360777689a68
13a0a5c2a82a632
1441c616a72233a
151c17cea1e6772
hexd534b952c2b0

234422424224432 has 80 divisors (see below), whose sum is σ = 474730402586400. Its totient is φ = 111996279091200.

The previous prime is 234422424224389. The next prime is 234422424224437.

234422424224432 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (234422424224437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98598683 + ... + 100948229.

It is an arithmetic number, because the mean of its divisors is an integer number (5934130032330).

Almost surely, 2234422424224432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234422424224432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237365201293200).

234422424224432 is an abundant number, since it is smaller than the sum of its proper divisors (240307978361968).

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

234422424224432 is a wasteful number, since it uses less digits than its factorization.

234422424224432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2351814 (or 2351808 counting only the distinct ones).

The product of its digits is 4718592, while the sum is 44.

The spelling of 234422424224432 in words is "two hundred thirty-four trillion, four hundred twenty-two billion, four hundred twenty-four million, two hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 29 58 101 116 202 232 404 464 808 1616 2129 2929 4258 5858 8516 11716 17032 23432 34064 46864 61741 123482 215029 246964 430058 493928 860116 987856 1720232 2349547 3440464 4699094 6235841 9398188 12471682 18796376 24943364 37592752 49886728 68136863 99773456 136273726 237304247 272547452 474608494 545094904 949216988 1090189808 1898433976 3796867952 5002185563 6881823163 10004371126 13763646326 20008742252 27527292652 40017484504 55054585304 80034969008 110109170608 145063381327 290126762654 505220741863 580253525308 1010441483726 1160507050616 2020882967452 2321014101232 4041765934904 8083531869808 14651401514027 29302803028054 58605606056108 117211212112216 234422424224432