Search a number
-
+
431525113012242 = 233109277264670811
BaseRepresentation
bin110001000011110000100010…
…1000100101010000000010010
32002120220101202002011012211000
41202013201011010222000102
5423030101412412342432
64125435522235002430
7156615442402130334
oct14207410504520022
92076811662135730
10431525113012242
11115551855505907
124049455b299416
13156a2849b58252
14787bcd9625454
1534d4e59d4957c
hex188784512a012

431525113012242 has 64 divisors (see below), whose sum is σ = 971236011715200. Its totient is φ = 142007535080640.

The previous prime is 431525113012223. The next prime is 431525113012267. The reversal of 431525113012242 is 242210311525134.

431525113012242 is a `hidden beast` number, since 4 + 3 + 1 + 52 + 511 + 30 + 1 + 22 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 431525113012197 and 431525113012206.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130704984 + ... + 133965827.

It is an arithmetic number, because the mean of its divisors is an integer number (15175562683050).

Almost surely, 2431525113012242 is an apocalyptic number.

431525113012242 is an abundant number, since it is smaller than the sum of its proper divisors (539710898702958).

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

431525113012242 is a wasteful number, since it uses less digits than its factorization.

431525113012242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264671208 (or 264671202 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 431525113012242 its reverse (242210311525134), we get a palindrome (673735424537376).

The spelling of 431525113012242 in words is "four hundred thirty-one trillion, five hundred twenty-five billion, one hundred thirteen million, twelve thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 109 218 277 327 554 654 831 981 1662 1962 2493 2943 4986 5886 7479 14958 30193 60386 90579 181158 271737 543474 815211 1630422 264670811 529341622 794012433 1588024866 2382037299 4764074598 7146111897 14292223794 28849118399 57698236798 73313814647 86547355197 146627629294 173094710394 219941443941 259642065591 439882887882 519284131182 659824331823 778926196773 1319648663646 1557852393546 1979472995469 3958945990938 7991205796523 15982411593046 23973617389569 47947234779138 71920852168707 143841704337414 215762556506121 431525113012242