Search a number
-
+
204041320014321 = 3219167169917532399
BaseRepresentation
bin101110011001001100010010…
…011001100010000111110001
3222202110011022102012222020100
4232121030102121202013301
5203221003110410424241
62001543142142503013
760656333056540656
oct5631142231420761
9882404272188210
10204041320014321
115a01748a890289
121aa746a9294a69
1389b102476191a
14385591c981c2d
15188c8b28769b6
hexb993126621f1

204041320014321 has 96 divisors (see below), whose sum is σ = 312588057600000. Its totient is φ = 127894777300224.

The previous prime is 204041320014299. The next prime is 204041320014353. The reversal of 204041320014321 is 123410023140402.

204041320014321 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 4 + 1 + 320 + 0 + 14 + 321 = 666.

It is not a de Polignac number, because 204041320014321 - 235 = 204006960275953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (204041320014821) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85052654080 + ... + 85052656478.

It is an arithmetic number, because the mean of its divisors is an integer number (3256125600000).

Almost surely, 2204041320014321 is an apocalyptic number.

It is an amenable number.

204041320014321 is a deficient number, since it is larger than the sum of its proper divisors (108546737585679).

204041320014321 is a wasteful number, since it uses less digits than its factorization.

204041320014321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6043 (or 6040 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 204041320014321 its reverse (123410023140402), we get a palindrome (327451343154723).

The spelling of 204041320014321 in words is "two hundred four trillion, forty-one billion, three hundred twenty million, fourteen thousand, three hundred twenty-one".

Divisors: 1 3 9 19 57 167 171 501 1503 1699 1753 2399 3173 5097 5259 7197 9519 15291 15777 21591 28557 32281 33307 45581 96843 99921 136743 283733 290529 292751 299763 400633 410229 851199 878253 1201899 2553597 2634759 2978347 3605697 4075901 4205447 5390927 5562269 7612027 8935041 12227703 12616341 16172781 16686807 22836081 26805123 36683109 37849023 48518343 50060421 56588593 68508243 77442119 79903493 169765779 232326357 239710479 497383949 509297337 680675467 696979071 702309649 719131437 1492151847 2042026401 2106928947 4476455541 6126079203 6320786841 7145054453 9450295031 12932833873 13343883331 21435163359 28350885093 38798501619 40031649993 64305490077 85052655279 116395504857 120094949979 135756034607 407268103821 1193224093651 1221804311463 3579672280953 10739016842859 22671257779369 68013773338107 204041320014321