| Base | Representation |
|---|---|
| bin | 10011001010010010111101… |
| … | …11101000111011001000100 |
| 3 | 12112012002101002022001102202 |
| 4 | 21211021132331013121010 |
| 5 | 21010320413344044444 |
| 6 | 225340353123254032 |
| 7 | 11606112041532650 |
| oct | 1145113675073104 |
| 9 | 175162332261382 |
| 10 | 42135222253124 |
| 11 | 124754a1554060 |
| 12 | 488610881a318 |
| 13 | 1a6844690b360 |
| 14 | a594d9c2ba60 |
| 15 | 4d107926734e |
| hex | 26525ef47644 |
42135222253124 has 192 divisors, whose sum is σ = 101270009659392. Its totient is φ = 14807565158400.
The previous prime is 42135222253097. The next prime is 42135222253141.
42135222253124 is nontrivially palindromic in base 10.
42135222253124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×421352222531242 (a number of 28 digits) contains 22 as substring.
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, 118569212 + ... + 118924044.
It is an arithmetic number, because the mean of its divisors is an integer number (527447966976).
Almost surely, 242135222253124 is an apocalyptic number.
42135222253124 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 42135222253124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50635004829696).
42135222253124 is an abundant number, since it is smaller than the sum of its proper divisors (59134787406268).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42135222253124 is a wasteful number, since it uses less digits than its factorization.
42135222253124 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 355546 (or 355544 counting only the distinct ones).
The product of its digits is 230400, while the sum is 38.
It can be divided in two parts, 4213522 and 2253124, that added together give a palindrome (6466646).
The spelling of 42135222253124 in words is "forty-two trillion, one hundred thirty-five billion, two hundred twenty-two million, two hundred fifty-three thousand, one hundred twenty-four".
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