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42114441124 = 2271504087183
BaseRepresentation
bin100111001110001101…
…110101111110100100
311000201000202021102201
4213032031311332210
51142222244103444
631202550344244
73020430562120
oct471615657644
9130630667381
1042114441124
111695155aa48
1281b405b084
133c82158562
142077336580
151167452dd4
hex9ce375fa4

42114441124 has 12 divisors (see below), whose sum is σ = 84228882304. Its totient is φ = 18049046184.

The previous prime is 42114441121. The next prime is 42114441137.

42114441124 is nontrivially palindromic in base 10.

42114441124 is an admirable number.

It is a Harshad number since it is a multiple of its sum of digits (28), and also a Moran number because the ratio is a prime number: 1504087183 = 42114441124 / (4 + 2 + 1 + 1 + 4 + 4 + 4 + 1 + 1 + 2 + 4).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 42114441092 and 42114441101.

It is not an unprimeable number, because it can be changed into a prime (42114441121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 752043564 + ... + 752043619.

Almost surely, 242114441124 is an apocalyptic number.

It is an amenable number.

42114441124 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42114441124 is a wasteful number, since it uses less digits than its factorization.

42114441124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504087194 (or 1504087192 counting only the distinct ones).

The product of its digits is 4096, while the sum is 28.

The spelling of 42114441124 in words is "forty-two billion, one hundred fourteen million, four hundred forty-one thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 28 1504087183 3008174366 6016348732 10528610281 21057220562 42114441124