Base | Representation |
---|---|
bin | 100111001110000000… |
… | …110000100100110100 |
3 | 11000200210022000100200 |
4 | 213032000300210310 |
5 | 1142220404323444 |
6 | 31202345040500 |
7 | 3020356455120 |
oct | 471600604464 |
9 | 130623260320 |
10 | 42111011124 |
11 | 1694a627a36 |
12 | 81b2a86130 |
13 | 3c81527280 |
14 | 2076ac2580 |
15 | 1166ec6969 |
hex | 9ce030934 |
42111011124 has 144 divisors (see below), whose sum is σ = 131101082112. Its totient is φ = 11098653696.
The previous prime is 42111011101. The next prime is 42111011141.
42111011124 is a `hidden beast` number, since 421 + 110 + 11 + 124 = 666.
42111011124 is nontrivially palindromic in base 10.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 42111011097 and 42111011106.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6132517 + ... + 6139379.
Almost surely, 242111011124 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 42111011124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65550541056).
42111011124 is an abundant number, since it is smaller than the sum of its proper divisors (88990070988).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42111011124 is a wasteful number, since it uses less digits than its factorization.
42111011124 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8766 (or 8761 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 18.
It can be divided in two parts, 421110 and 11124, that added together give a palindrome (432234).
The spelling of 42111011124 in words is "forty-two billion, one hundred eleven million, eleven thousand, one hundred twenty-four".
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