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42120043320141 = 3237156798067263
BaseRepresentation
bin10011001001110110101100…
…01110000101001101001101
312112010122012020110100211200
421210323112032011031031
521010043322042221031
6225325403014140113
711605033636661013
oct1144732616051515
9175118166410750
1042120043320141
111246a012429046
124883191351639
131a66b97ca2cc7
14a58899d4a8b3
154d098b8aa8e6
hex264ed638534d

42120043320141 has 24 divisors (see below), whose sum is σ = 62488381562880. Its totient is φ = 27319363265376.

The previous prime is 42120043320127. The next prime is 42120043320169. The reversal of 42120043320141 is 14102334002124.

42120043320141 is a `hidden beast` number, since 4 + 2 + 1 + 20 + 0 + 433 + 201 + 4 + 1 = 666.

42120043320141 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 42120043320141 - 210 = 42120043319117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42120043320041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1187476 + ... + 9254738.

It is an arithmetic number, because the mean of its divisors is an integer number (2603682565120).

Almost surely, 242120043320141 is an apocalyptic number.

It is an amenable number.

42120043320141 is a deficient number, since it is larger than the sum of its proper divisors (20368338242739).

42120043320141 is a wasteful number, since it uses less digits than its factorization.

42120043320141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8082985 (or 8082982 counting only the distinct ones).

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

Adding to 42120043320141 its reverse (14102334002124), we get a palindrome (56222377322265).

The spelling of 42120043320141 in words is "forty-two trillion, one hundred twenty billion, forty-three million, three hundred twenty thousand, one hundred forty-one".

Divisors: 1 3 9 37 111 333 15679 47037 141111 580123 1740369 5221107 8067263 24201789 72605367 298488731 895466193 2686398579 126486616577 379459849731 1138379549193 4680004813349 14040014440047 42120043320141