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204014421432234 = 23272274984142913
BaseRepresentation
bin101110011000110011001111…
…000111100101011110101010
3222202100120212210210102102100
4232120303033013211132222
5203220033013341312414
62001522533100514230
760654361356423600
oct5630631707453652
9882316783712370
10204014421432234
115a007037287456
121aa6b440b4b976
1389ab628aa006a
1438544ca3bd870
15188bd3b176609
hexb98ccf1e57aa

204014421432234 has 72 divisors (see below), whose sum is σ = 514386669010500. Its totient is φ = 58268629988352.

The previous prime is 204014421432221. The next prime is 204014421432259. The reversal of 204014421432234 is 432234124410402.

204014421432234 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 1 + 4 + 421 + 4 + 3 + 223 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 203914201701609 + 100219730625 = 14279853^2 + 316575^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39646839 + ... + 44496074.

Almost surely, 2204014421432234 is an apocalyptic number.

204014421432234 is an abundant number, since it is smaller than the sum of its proper divisors (310372247578266).

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

204014421432234 is a wasteful number, since it uses less digits than its factorization.

204014421432234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84145684 (or 84145674 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 204014421432234 its reverse (432234124410402), we get a palindrome (636248545842636).

The spelling of 204014421432234 in words is "two hundred four trillion, fourteen billion, four hundred twenty-one million, four hundred thirty-two thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 2749 5498 8247 16494 19243 24741 38486 49482 57729 115458 134701 173187 269402 346374 404103 808206 1212309 2424618 84142913 168285826 252428739 504857478 589000391 757286217 1178000782 1514572434 1767001173 3534002346 4123002737 5301003519 8246005474 10602007038 12369008211 24738016422 37107024633 74214049266 231308867837 462617735674 693926603511 1387853207022 1619162074859 2081779810533 3238324149718 4163559621066 4857486224577 9714972449154 11334134524013 14572458673731 22668269048026 29144917347462 34002403572039 68004807144078 102007210716117 204014421432234