Search a number
-
+
234441130032 = 2433542687801
BaseRepresentation
bin1101101001010111000…
…1111100000000110000
3211102010121100100222000
43122111301330000300
512320113412130112
6255411211014000
722636445503554
oct3322561740060
9742117310860
10234441130032
11904759a6a2a
1239529a3a300
1319152818265
14b4c02ad864
156171e0d7dc
hex3695c7c030

234441130032 has 40 divisors (see below), whose sum is σ = 672932874480. Its totient is φ = 78147043200.

The previous prime is 234441129977. The next prime is 234441130043. The reversal of 234441130032 is 230031144432.

234441130032 is a `hidden beast` number, since 2 + 344 + 4 + 11 + 300 + 3 + 2 = 666.

It is a super-2 number, since 2×2344411300322 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 234441129978 and 234441130005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 271343469 + ... + 271344332.

It is an arithmetic number, because the mean of its divisors is an integer number (16823321862).

Almost surely, 2234441130032 is an apocalyptic number.

It is an amenable number.

234441130032 is an abundant number, since it is smaller than the sum of its proper divisors (438491744448).

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

234441130032 is a wasteful number, since it uses less digits than its factorization.

234441130032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542687818 (or 542687806 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 234441130032 its reverse (230031144432), we get a palindrome (464472274464).

It can be divided in two parts, 23444 and 1130032, that added together give a square (1153476 = 10742).

The spelling of 234441130032 in words is "two hundred thirty-four billion, four hundred forty-one million, one hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 542687801 1085375602 1628063403 2170751204 3256126806 4341502408 4884190209 6512253612 8683004816 9768380418 13024507224 14652570627 19536760836 26049014448 29305141254 39073521672 58610282508 78147043344 117220565016 234441130032