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242431142024241 = 3311779762282977
BaseRepresentation
bin110111000111110101100110…
…000110100101010000110001
31011210101012011010012000222000
4313013311212012211100301
5223233442434324233431
62215335155032404213
7102031033461541122
oct6707654606452061
91153335133160860
10242431142024241
1170278519562315
1223234942b46669
13a53720a596b01
1443c1a30b18049
151d062cc6939e6
hexdc7d661a5431

242431142024241 has 16 divisors (see below), whose sum is σ = 359187739233600. Its totient is φ = 161607040043904.

The previous prime is 242431142024233. The next prime is 242431142024287. The reversal of 242431142024241 is 142420241134242.

242431142024241 is a `hidden beast` number, since 2 + 4 + 2 + 431 + 14 + 202 + 4 + 2 + 4 + 1 = 666.

242431142024241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 242431142024241 - 23 = 242431142024233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 242431142024196 and 242431142024205.

It is not an unprimeable number, because it can be changed into a prime (242431142024341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 380823456 + ... + 381459521.

It is an arithmetic number, because the mean of its divisors is an integer number (22449233702100).

Almost surely, 2242431142024241 is an apocalyptic number.

It is an amenable number.

242431142024241 is a deficient number, since it is larger than the sum of its proper divisors (116756597209359).

242431142024241 is a wasteful number, since it uses less digits than its factorization.

242431142024241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762294765 (or 762294759 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 242431142024241 its reverse (142420241134242), we get a palindrome (384851383158483).

The spelling of 242431142024241 in words is "two hundred forty-two trillion, four hundred thirty-one billion, one hundred forty-two million, twenty-four thousand, two hundred forty-one".

Divisors: 1 3 9 27 11779 35337 106011 318033 762282977 2286848931 6860546793 20581640379 8978931186083 26936793558249 80810380674747 242431142024241