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234321055040 = 2652101734841
BaseRepresentation
bin1101101000111010011…
…1111000110101000000
3211101211020101221001002
43122032213320311000
512314342142230130
6255351241231132
722633460050652
oct3321647706500
9741736357032
10234321055040
11904141438a6
12394b57924a8
1319133996177
14b4ac3746d2
1561665e0b45
hex368e9f8d40

234321055040 has 56 divisors (see below), whose sum is σ = 558019576872. Its totient is φ = 93721272320.

The previous prime is 234321055039. The next prime is 234321055079. The reversal of 234321055040 is 40550123432.

It is a happy number.

234321055040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 14862535744 + 219458519296 = 121912^2 + 468464^2 .

It is a junction number, because it is equal to n+sod(n) for n = 234321054994 and 234321055012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6708020 + ... + 6742860.

Almost surely, 2234321055040 is an apocalyptic number.

234321055040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234321055040 is an abundant number, since it is smaller than the sum of its proper divisors (323698521832).

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

234321055040 is a wasteful number, since it uses less digits than its factorization.

234321055040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55875 (or 55865 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

Adding to 234321055040 its reverse (40550123432), we get a palindrome (274871178472).

The spelling of 234321055040 in words is "two hundred thirty-four billion, three hundred twenty-one million, fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 21017 34841 42034 69682 84068 105085 139364 168136 174205 210170 278728 336272 348410 420340 557456 672544 696820 840680 1114912 1345088 1393640 1681360 2229824 2787280 3362720 5574560 6725440 11149120 732253297 1464506594 2929013188 3661266485 5858026376 7322532970 11716052752 14645065940 23432105504 29290131880 46864211008 58580263760 117160527520 234321055040