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234641324241 = 3253515395461
BaseRepresentation
bin1101101010000110110…
…1100111100011010001
3211102122120001021210100
43122201231213203101
512321021134333431
6255443121523013
722644426230262
oct3324155474321
9742576037710
10234641324241
1190568a01895
1239584aa3469
131918513ca7c
14b4dcb02969
1561847a54e6
hex36a1b678d1

234641324241 has 24 divisors (see below), whose sum is σ = 345391825896. Its totient is φ = 153444695040.

The previous prime is 234641324231. The next prime is 234641324339. The reversal of 234641324241 is 142423146432.

234641324241 is a `hidden beast` number, since 2 + 3 + 4 + 641 + 3 + 2 + 4 + 2 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 86797998225 + 147843326016 = 294615^2 + 384504^2 .

It is not a de Polignac number, because 234641324241 - 233 = 226051389649 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 234641324196 and 234641324205.

It is not an unprimeable number, because it can be changed into a prime (234641324231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2410251 + ... + 2505711.

It is an arithmetic number, because the mean of its divisors is an integer number (14391326079).

Almost surely, 2234641324241 is an apocalyptic number.

It is an amenable number.

234641324241 is a deficient number, since it is larger than the sum of its proper divisors (110750501655).

234641324241 is a wasteful number, since it uses less digits than its factorization.

234641324241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100673 (or 100670 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The spelling of 234641324241 in words is "two hundred thirty-four billion, six hundred forty-one million, three hundred twenty-four thousand, two hundred forty-one".

Divisors: 1 3 9 53 159 477 5153 15459 46377 95461 273109 286383 819327 859149 2457981 5059433 15178299 45534897 491910533 1475731599 4427194797 26071258249 78213774747 234641324241