Search a number
-
+
234120241341 = 3272530884901
BaseRepresentation
bin1101101000001010100…
…1110110000010111101
3211101022020112112102200
43122002221312002331
512313434240210331
6255315305142113
722625501134200
oct3320251660275
9741266475380
10234120241341
1190320855568
123945a48a939
13191011b56ac
14b48d81d937
156153b755e6
hex3682a760bd

234120241341 has 18 divisors (see below), whose sum is σ = 393385712382. Its totient is φ = 133782994800.

The previous prime is 234120241331. The next prime is 234120241363. The reversal of 234120241341 is 143142021432.

234120241341 is a `hidden beast` number, since 2 + 3 + 4 + 1 + 202 + 413 + 41 = 666.

234120241341 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 only one way, i.e., 170626824900 + 63493416441 = 413070^2 + 251979^2 .

It is not a de Polignac number, because 234120241341 - 29 = 234120240829 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234120241331) 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 17 ways as a sum of consecutive naturals, for example, 265442010 + ... + 265442891.

It is an arithmetic number, because the mean of its divisors is an integer number (21854761799).

Almost surely, 2234120241341 is an apocalyptic number.

234120241341 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

234120241341 is a deficient number, since it is larger than the sum of its proper divisors (159265471041).

234120241341 is a wasteful number, since it uses less digits than its factorization.

234120241341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530884921 (or 530884911 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 234120241341 its reverse (143142021432), we get a palindrome (377262262773).

The spelling of 234120241341 in words is "two hundred thirty-four billion, one hundred twenty million, two hundred forty-one thousand, three hundred forty-one".

Divisors: 1 3 7 9 21 49 63 147 441 530884901 1592654703 3716194307 4777964109 11148582921 26013360149 33445748763 78040080447 234120241341