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204333121434 = 231323314778173
BaseRepresentation
bin1011111001001100110…
…0111111111110011010
3201112102022211001122110
42332103030333332122
511321433234341214
6233511435533150
720522364606051
oct2762314777632
9645368731573
10204333121434
11797257a14a2
12337268ba1b6
1316364c67360
149c6578b398
1554ada9c159
hex2f9333ff9a

204333121434 has 128 divisors (see below), whose sum is σ = 484143464448. Its totient is φ = 56959246080.

The previous prime is 204333121423. The next prime is 204333121453. The reversal of 204333121434 is 434121333402.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2574772 + ... + 2652944.

It is an arithmetic number, because the mean of its divisors is an integer number (3782370816).

Almost surely, 2204333121434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204333121434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242071732224).

204333121434 is an abundant number, since it is smaller than the sum of its proper divisors (279810343014).

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

204333121434 is a wasteful number, since it uses less digits than its factorization.

204333121434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78292.

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 204333121434 its reverse (434121333402), we get a palindrome (638454454836).

The spelling of 204333121434 in words is "two hundred four billion, three hundred thirty-three million, one hundred twenty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 13 23 26 31 39 46 47 62 69 78 93 94 138 141 186 282 299 403 598 611 713 806 897 1081 1209 1222 1426 1457 1794 1833 2139 2162 2418 2914 3243 3666 4278 4371 6486 8742 9269 14053 18538 18941 27807 28106 33511 37882 42159 55614 56823 67022 78173 84318 100533 113646 156346 201066 234519 435643 469038 871286 1016249 1306929 1797979 2032498 2423363 2613858 3048747 3595958 3674131 4846726 5393937 6097494 7270089 7348262 10787874 11022393 14540178 22044786 23373727 31503719 46747454 47763703 55737349 63007438 70121181 84505013 94511157 95527406 111474698 113898061 140242362 143291109 167212047 169010026 189022314 227796122 253515039 286582218 334424094 341694183 507030078 683388366 724585537 1098565169 1449171074 1480674793 2173756611 2197130338 2619655403 2961349586 3295695507 4347513222 4442024379 5239310806 6591391014 7858966209 8884048758 15717932418 34055520239 68111040478 102166560717 204333121434