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242404223431230 = 23257799348138197
BaseRepresentation
bin110111000111011100100001…
…101000010011001000111110
31011210021121200010002211022200
4313013130201220103020332
5223233022322144244410
62215314543553452330
7102026061426351120
oct6707344150231076
91153247603084280
10242404223431230
1170268065730a33
122322b68bb710a6
13a53480a719b73
1443c05d9a27210
151d0575433e3c0
hexdc7721a1323e

242404223431230 has 96 divisors (see below), whose sum is σ = 720376965008064. Its totient is φ = 55399746590208.

The previous prime is 242404223431141. The next prime is 242404223431247. The reversal of 242404223431230 is 32134322404242.

242404223431230 is a `hidden beast` number, since 2 + 4 + 2 + 40 + 42 + 2 + 343 + 1 + 230 = 666.

242404223431230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19033509 + ... + 29104688.

It is an arithmetic number, because the mean of its divisors is an integer number (7503926718834).

Almost surely, 2242404223431230 is an apocalyptic number.

242404223431230 is an abundant number, since it is smaller than the sum of its proper divisors (477972741576834).

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

242404223431230 is a wasteful number, since it uses less digits than its factorization.

242404223431230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48146210 (or 48146207 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 242404223431230 its reverse (32134322404242), we get a palindrome (274538545835472).

The spelling of 242404223431230 in words is "two hundred forty-two trillion, four hundred four billion, two hundred twenty-three million, four hundred thirty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 7993 15986 23979 39965 47958 55951 71937 79930 111902 119895 143874 167853 239790 279755 335706 359685 503559 559510 719370 839265 1007118 1678530 2517795 5035590 48138197 96276394 144414591 240690985 288829182 336967379 433243773 481381970 673934758 722072955 866487546 1010902137 1444145910 1684836895 2021804274 2166218865 3032706411 3369673790 4332437730 5054510685 6065412822 10109021370 15163532055 30327064110 384768608621 769537217242 1154305825863 1923843043105 2308611651726 2693380260347 3462917477589 3847686086210 5386760520694 5771529129315 6925834955178 8080140781041 11543058258630 13466901301735 16160281562082 17314587387945 24240422343123 26933802603470 34629174775890 40400703905205 48480844686246 80801407810410 121202111715615 242404223431230