Base | Representation |
---|---|
bin | 100111000111111111… |
… | …110100100100001000 |
3 | 11000102202102022002121 |
4 | 213013333310210020 |
5 | 1142014041231044 |
6 | 31144342141024 |
7 | 3015022655362 |
oct | 470777644410 |
9 | 130382368077 |
10 | 42010102024 |
11 | 168a8675490 |
12 | 8185121774 |
13 | 3c66655a47 |
14 | 2067535d32 |
15 | 115d1e2984 |
hex | 9c7ff4908 |
42010102024 has 64 divisors (see below), whose sum is σ = 91339306560. Its totient is φ = 17902141440.
The previous prime is 42010101937. The next prime is 42010102039. The reversal of 42010102024 is 42020101024.
It is a junction number, because it is equal to n+sod(n) for n = 42010101989 and 42010102007.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 329839 + ... + 439105.
It is an arithmetic number, because the mean of its divisors is an integer number (1427176665).
Almost surely, 242010102024 is an apocalyptic number.
42010102024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 42010102024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45669653280).
42010102024 is an abundant number, since it is smaller than the sum of its proper divisors (49329204536).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42010102024 is a wasteful number, since it uses less digits than its factorization.
42010102024 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 109558 (or 109554 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 16.
Adding to 42010102024 its reverse (42020101024), we get a palindrome (84030203048).
The spelling of 42010102024 in words is "forty-two billion, ten million, one hundred two thousand, twenty-four".
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