| Base | Representation |
|---|---|
| bin | 10011001010100111101011… |
| … | …11000100110100001011100 |
| 3 | 12112020011002012111211110210 |
| 4 | 21211103311320212201130 |
| 5 | 21011011203124122444 |
| 6 | 225345432512532420 |
| 7 | 11606654463111360 |
| oct | 1145236570464134 |
| 9 | 175204065454423 |
| 10 | 42146344364124 |
| 11 | 1247a189705730 |
| 12 | 48882b1551110 |
| 13 | 1a694c9c1b720 |
| 14 | a59c730072a0 |
| 15 | 4d14ca8c77b9 |
| hex | 2654f5e2685c |
42146344364124 has 192 divisors, whose sum is σ = 132052605576192. Its totient is φ = 10103968512000.
The previous prime is 42146344364119. The next prime is 42146344364147.
42146344364124 is nontrivially palindromic in base 10.
42146344364124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is an unprimeable number.
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 63 ways as a sum of consecutive naturals, for example, 118753624 + ... + 119108000.
It is an arithmetic number, because the mean of its divisors is an integer number (687773987376).
Almost surely, 242146344364124 is an apocalyptic number.
42146344364124 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 42146344364124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66026302788096).
42146344364124 is an abundant number, since it is smaller than the sum of its proper divisors (89906261212068).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42146344364124 is a wasteful number, since it uses less digits than its factorization.
42146344364124 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 364316 (or 364314 counting only the distinct ones).
The product of its digits is 5308416, while the sum is 48.
It can be divided in two parts, 4214634 and 4364124, that added together give a palindrome (8578758).
The spelling of 42146344364124 in words is "forty-two trillion, one hundred forty-six billion, three hundred forty-four million, three hundred sixty-four thousand, one hundred twenty-four".
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