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234204053205141 = 355361617483167
BaseRepresentation
bin110101010000000111100001…
…011001010111000010010101
31010201020200121011010100200000
4311100013201121113002111
5221144144400110031031
62150035505015041513
7100221453524444565
oct6520074131270225
91121220534110600
10234204053205141
1168696421390188
1222326393670299
13a08b469475656
1441b9772834da5
151c122b902c3e6
hexd501e1657095

234204053205141 has 96 divisors (see below), whose sum is σ = 363892807369728. Its totient is φ = 150434236592640.

The previous prime is 234204053205137. The next prime is 234204053205209. The reversal of 234204053205141 is 141502350402432.

It is a happy number.

234204053205141 is a `hidden beast` number, since 2 + 3 + 4 + 2 + 0 + 405 + 3 + 205 + 1 + 41 = 666.

It is not a de Polignac number, because 234204053205141 - 22 = 234204053205137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 234204053205096 and 234204053205105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234204053205131) 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, 484485340 + ... + 484968506.

It is an arithmetic number, because the mean of its divisors is an integer number (3790550076768).

Almost surely, 2234204053205141 is an apocalyptic number.

It is an amenable number.

234204053205141 is a deficient number, since it is larger than the sum of its proper divisors (129688754164587).

234204053205141 is an equidigital number, since it uses as much as digits as its factorization.

234204053205141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483913 (or 483901 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 234204053205141 in words is "two hundred thirty-four trillion, two hundred four billion, fifty-three million, two hundred five thousand, one hundred forty-one".

Divisors: 1 3 9 27 53 61 81 159 183 243 477 549 617 1431 1647 1851 3233 4293 4941 5553 9699 12879 14823 16659 29097 32701 37637 49977 87291 98103 112911 149931 261873 294309 338733 483167 785619 882927 1016199 1449501 1994761 2648781 3048597 4348503 5984283 7946343 9145791 13045509 17952849 25607851 29473187 39136527 53858547 76823553 88419561 117409581 161575641 230470659 265258683 298114039 484726923 691411977 795776049 894342117 1562078911 2074235931 2387328147 2683026351 4686236733 6222707793 7161984441 8049079053 14058710199 15800044067 18184956379 24147237159 42176130597 47400132201 54554869137 72441711477 126528391791 142200396603 163664607411 379585175373 426601189809 490993822233 963802688087 1279803569427 1472981466699 2891408064261 3839410708281 4418944400097 8674224192783 26022672578349 78068017735047 234204053205141