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242123431041 = 3429283364223
BaseRepresentation
bin1110000101111110101…
…1100101110010000001
3212010221222221200210000
43201133223211302001
512431332044243131
6303121401230213
723331021130602
oct3413753456201
9763858850700
10242123431041
1193758401428
123ab12792369
1319aa82a45bb
14ba0c6b7da9
1564715a0ce6
hex385fae5c81

242123431041 has 40 divisors (see below), whose sum is σ = 375485806080. Its totient is φ = 155298433248.

The previous prime is 242123431027. The next prime is 242123431097. The reversal of 242123431041 is 140134321242.

242123431041 is a `hidden beast` number, since 2 + 4 + 212 + 343 + 104 + 1 = 666.

It is not a de Polignac number, because 242123431041 - 221 = 242121333889 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 242123430996 and 242123431014.

It is not an unprimeable number, because it can be changed into a prime (242123431001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 482656 + ... + 846878.

It is an arithmetic number, because the mean of its divisors is an integer number (9387145152).

Almost surely, 2242123431041 is an apocalyptic number.

It is an amenable number.

242123431041 is a deficient number, since it is larger than the sum of its proper divisors (133362375039).

242123431041 is a wasteful number, since it uses less digits than its factorization.

242123431041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364547 (or 364538 counting only the distinct ones).

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

Adding to 242123431041 its reverse (140134321242), we get a palindrome (382257752283).

The spelling of 242123431041 in words is "two hundred forty-two billion, one hundred twenty-three million, four hundred thirty-one thousand, forty-one".

Divisors: 1 3 9 27 29 81 87 261 283 783 849 2349 2547 7641 8207 22923 24621 73863 221589 364223 664767 1092669 3278007 9834021 10562467 29502063 31687401 95062203 103075109 285186609 309225327 855559827 927675981 2783027943 2989178161 8349083829 8967534483 26902603449 80707810347 242123431041