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232444133014041 = 3313279763916031
BaseRepresentation
bin110100110110100000011101…
…111110100111101000011001
31010111000102221021210102221000
4310312200131332213220121
5220431331041022422131
62142211205513335213
766650351206603404
oct6466403576475031
91114012837712830
10232444133014041
116807800430a203
12220a1291a07509
139c915069a7100
1441584db08ad3b
151bd1612ec2ce6
hexd3681dfa7a19

232444133014041 has 48 divisors (see below), whose sum is σ = 373356552683520. Its totient is φ = 142863064943040.

The previous prime is 232444133014021. The next prime is 232444133014043. The reversal of 232444133014041 is 140410331444232.

232444133014041 is a `hidden beast` number, since 2 + 3 + 2 + 4 + 441 + 3 + 30 + 140 + 41 = 666.

It is not a de Polignac number, because 232444133014041 - 26 = 232444133013977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 232444133013987 and 232444133014005.

It is not an unprimeable number, because it can be changed into a prime (232444133014043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28321305 + ... + 35594726.

It is an arithmetic number, because the mean of its divisors is an integer number (7778261514240).

Almost surely, 2232444133014041 is an apocalyptic number.

It is an amenable number.

232444133014041 is a deficient number, since it is larger than the sum of its proper divisors (140912419669479).

232444133014041 is a wasteful number, since it uses less digits than its factorization.

232444133014041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63916863 (or 63916844 counting only the distinct ones).

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

Adding to 232444133014041 its reverse (140410331444232), we get a palindrome (372854464458273).

The spelling of 232444133014041 in words is "two hundred thirty-two trillion, four hundred forty-four billion, one hundred thirty-three million, fourteen thousand, forty-one".

Divisors: 1 3 9 13 27 39 117 169 351 507 797 1521 2391 4563 7173 10361 21519 31083 93249 134693 279747 404079 1212237 3636711 63916031 191748093 575244279 830908403 1725732837 2492725209 7478175627 10801809239 22434526881 32405427717 50941076707 97216283151 152823230121 291648849453 458469690363 662233997191 1375409071089 1986701991573 5960105974719 8609041963483 17880317924157 25827125890449 77481377671347 232444133014041