Search a number
-
+
242402032413 = 32411096026753
BaseRepresentation
bin1110000111000001001…
…0010111101100011101
3212011200102012010000100
43201300102113230131
512432414410014123
6303205152451313
723340643164522
oct3416022275435
9764612163010
10242402032413
119389069a7a2
123ab8bb49b39
1319b20c1c498
14ba376bb149
15648ac84643
hex3870497b1d

242402032413 has 24 divisors (see below), whose sum is σ = 361966845240. Its totient is φ = 156213411840.

The previous prime is 242402032387. The next prime is 242402032441. The reversal of 242402032413 is 314230204242.

242402032413 is a `hidden beast` number, since 2 + 4 + 2 + 40 + 203 + 2 + 413 = 666.

242402032413 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 33263193924 + 209138838489 = 182382^2 + 457317^2 .

It is not a de Polignac number, because 242402032413 - 28 = 242402032157 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242402036413) 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, 2973156 + ... + 3053597.

It is an arithmetic number, because the mean of its divisors is an integer number (15081951885).

Almost surely, 2242402032413 is an apocalyptic number.

It is an amenable number.

242402032413 is a deficient number, since it is larger than the sum of its proper divisors (119564812827).

242402032413 is a wasteful number, since it uses less digits than its factorization.

242402032413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6026909 (or 6026906 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 242402032413 its reverse (314230204242), we get a palindrome (556632236655).

The spelling of 242402032413 in words is "two hundred forty-two billion, four hundred two million, thirty-two thousand, four hundred thirteen".

Divisors: 1 3 9 41 109 123 327 369 981 4469 13407 40221 6026753 18080259 54240777 247096873 656916077 741290619 1970748231 2223871857 5912244693 26933559157 80800677471 242402032413