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234403605144 = 233229112262263
BaseRepresentation
bin1101101001001110001…
…0110010101010011000
3211102000222201220111100
43122103202302222120
512320024310331034
6255403350431400
722635511524552
oct3322342625230
9742028656440
10234403605144
11904567a6a25
1239519362560
1319147b0a197
14b4b93024d2
15616d99a099
hex36938b2a98

234403605144 has 48 divisors (see below), whose sum is σ = 656734244400. Its totient is φ = 75440240064.

The previous prime is 234403605049. The next prime is 234403605179. The reversal of 234403605144 is 441506304432.

234403605144 is a `hidden beast` number, since 2 + 3 + 4 + 4 + 0 + 3 + 605 + 1 + 44 = 666.

234403605144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 234403605099 and 234403605108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56129044 + ... + 56133219.

It is an arithmetic number, because the mean of its divisors is an integer number (13681963425).

Almost surely, 2234403605144 is an apocalyptic number.

234403605144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

234403605144 is an abundant number, since it is smaller than the sum of its proper divisors (422330639256).

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

234403605144 is a wasteful number, since it uses less digits than its factorization.

234403605144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112262304 (or 112262297 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 234403605144 its reverse (441506304432), we get a palindrome (675909909576).

The spelling of 234403605144 in words is "two hundred thirty-four billion, four hundred three million, six hundred five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 112262263 224524526 336786789 449049052 673573578 898098104 1010360367 1347147156 2020720734 2694294312 3255605627 4041441468 6511211254 8082882936 9766816881 13022422508 19533633762 26044845016 29300450643 39067267524 58600901286 78134535048 117201802572 234403605144