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42142024124 = 22102110318811
BaseRepresentation
bin100111001111110111…
…000100000110111100
311000202221122122012022
4213033313010012330
51142301324232444
631205413455312
73021214203044
oct471767040674
9130687578168
1042142024124
111696608a512
128201341538
133c87a95365
14207ac76724
151169aa09ee
hex9cfdc41bc

42142024124 has 12 divisors (see below), whose sum is σ = 73820781048. Its totient is φ = 21050372400.

The previous prime is 42142024039. The next prime is 42142024147.

It is a happy number.

42142024124 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 42142024093 and 42142024102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5155322 + ... + 5163489.

It is an arithmetic number, because the mean of its divisors is an integer number (6151731754).

Almost surely, 242142024124 is an apocalyptic number.

It is an amenable number.

42142024124 is a deficient number, since it is larger than the sum of its proper divisors (31678756924).

42142024124 is a wasteful number, since it uses less digits than its factorization.

42142024124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10319836 (or 10319834 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

It can be divided in two parts, 421420 and 24124, that added together give a palindrome (445544).

The spelling of 42142024124 in words is "forty-two billion, one hundred forty-two million, twenty-four thousand, one hundred twenty-four".

Divisors: 1 2 4 1021 2042 4084 10318811 20637622 41275244 10535506031 21071012062 42142024124