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234441024313 = 1727328373917
BaseRepresentation
bin1101101001010111000…
…1100010001100111001
3211102010121010222221111
43122111301202030321
512320113400234223
6255411204440321
722636444553416
oct3322561421471
9742117128844
10234441024313
1190475934561
12395299a90a1
13191527ac0c2
14b4c028310d
156171ddc30d
hex3695c62339

234441024313 has 24 divisors (see below), whose sum is σ = 252607893912. Its totient is φ = 217495517184.

The previous prime is 234441024227. The next prime is 234441024343. The reversal of 234441024313 is 313420144432.

234441024313 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 12 ways, for example, as 8879669824 + 225561354489 = 94232^2 + 474933^2 .

It is not a de Polignac number, because 234441024313 - 217 = 234440893241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (234441024343) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 59850231 + ... + 59854147.

It is an arithmetic number, because the mean of its divisors is an integer number (10525328913).

Almost surely, 2234441024313 is an apocalyptic number.

It is an amenable number.

234441024313 is a deficient number, since it is larger than the sum of its proper divisors (18166869599).

234441024313 is a wasteful number, since it uses less digits than its factorization.

234441024313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6861 (or 6844 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 234441024313 its reverse (313420144432), we get a palindrome (547861168745).

The spelling of 234441024313 in words is "two hundred thirty-four billion, four hundred forty-one million, twenty-four thousand, three hundred thirteen".

Divisors: 1 17 73 289 1241 2837 3917 21097 48229 66589 207101 285941 819893 1132013 3520717 4860997 11112529 59852189 82636949 188912993 811214617 3211520881 13790648489 234441024313