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42042144410041 = 635913421492619
BaseRepresentation
bin10011000111100101100110…
…00101010100100110111001
312111212012010022220201100011
421203302303011110212321
521002304302432110131
6225225521114141521
711566305350112646
oct1143626305244671
9174765108821304
1042042144410041
1112439a785349a6
1248700711218a1
131a5c73224b169
14a54bca262dcd
154cd92cabc0b1
hex263cb31549b9

42042144410041 has 8 divisors (see below), whose sum is σ = 42051974270400. Its totient is φ = 42032315574480.

The previous prime is 42042144409939. The next prime is 42042144410053. The reversal of 42042144410041 is 14001444124024.

42042144410041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 42042144410041 - 217 = 42042144278969 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42042144409985 and 42042144410012.

It is not an unprimeable number, because it can be changed into a prime (42042144410741) 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 7 ways as a sum of consecutive naturals, for example, 85097830 + ... + 85590448.

It is an arithmetic number, because the mean of its divisors is an integer number (5256496783800).

Almost surely, 242042144410041 is an apocalyptic number.

It is an amenable number.

42042144410041 is a deficient number, since it is larger than the sum of its proper divisors (9829860359).

42042144410041 is a wasteful number, since it uses less digits than its factorization.

42042144410041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512399.

The product of its (nonzero) digits is 16384, while the sum is 31.

Adding to 42042144410041 its reverse (14001444124024), we get a palindrome (56043588534065).

The spelling of 42042144410041 in words is "forty-two trillion, forty-two billion, one hundred forty-four million, four hundred ten thousand, forty-one".

Divisors: 1 6359 13421 492619 85344139 3132564221 6611439599 42042144410041