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242301643137 = 3316015605331
BaseRepresentation
bin1110000110101001001…
…1011010100110000001
3212011102102021210211000
43201222103122212001
512432213210040022
6303151205042213
723335313661441
oct3415223324601
9764372253730
10242301643137
1193839a62854
123ab623b6369
1319b061a0748
14ba28228121
1564820546ac
hex386a4da981

242301643137 has 16 divisors (see below), whose sum is σ = 359189674560. Its totient is φ = 161433504000.

The previous prime is 242301643079. The next prime is 242301643141. The reversal of 242301643137 is 731346103242.

242301643137 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 0 + 1 + 643 + 1 + 3 + 7 = 666.

It is not a de Polignac number, because 242301643137 - 211 = 242301641089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (242301643037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2759439 + ... + 2845892.

It is an arithmetic number, because the mean of its divisors is an integer number (22449354660).

Almost surely, 2242301643137 is an apocalyptic number.

242301643137 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

242301643137 is a deficient number, since it is larger than the sum of its proper divisors (116888031423).

242301643137 is a wasteful number, since it uses less digits than its factorization.

242301643137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5606941 (or 5606935 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

Adding to 242301643137 its reverse (731346103242), we get a palindrome (973647746379).

The spelling of 242301643137 in words is "two hundred forty-two billion, three hundred one million, six hundred forty-three thousand, one hundred thirty-seven".

Divisors: 1 3 9 27 1601 4803 14409 43227 5605331 16815993 50447979 151343937 8974134931 26922404793 80767214379 242301643137