| Base | Representation |
|---|---|
| bin | 10011001001111100110001… |
| … | …00110000111011000010000 |
| 3 | 12112010221121111202101222000 |
| 4 | 21210332120212013120100 |
| 5 | 21010122011411303100 |
| 6 | 225331102350314000 |
| 7 | 11605210515464436 |
| oct | 1144763046073020 |
| 9 | 175127544671860 |
| 10 | 42123304400400 |
| 11 | 124704361aa9a3 |
| 12 | 48839414b8900 |
| 13 | 1a672977a93b2 |
| 14 | a58ac90b4d56 |
| 15 | 4d0accd21900 |
| hex | 264f98987610 |
42123304400400 has 240 divisors, whose sum is σ = 149950196531520. Its totient is φ = 11231200281600.
The previous prime is 42123304400351. The next prime is 42123304400447. The reversal of 42123304400400 is 400440332124.
It is a happy number.
42123304400400 is a `hidden beast` number, since 4 + 21 + 233 + 0 + 4 + 4 + 0 + 0 + 400 = 666.
It is a tau number, because it is divible by the number of its divisors (240).
It is a super-3 number, since 3×421233044004003 (a number of 42 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
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, 72730359 + ... + 73307241.
It is an arithmetic number, because the mean of its divisors is an integer number (624792485548).
Almost surely, 242123304400400 is an apocalyptic number.
42123304400400 is a gapful number since it is divisible by the number (40) 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 42123304400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74975098265760).
42123304400400 is an abundant number, since it is smaller than the sum of its proper divisors (107826892131120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42123304400400 is a wasteful number, since it uses less digits than its factorization.
42123304400400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 583671 (or 583654 counting only the distinct ones).
The product of its (nonzero) digits is 9216, while the sum is 27.
Adding to 42123304400400 its reverse (400440332124), we get a palindrome (42523744732524).
The spelling of 42123304400400 in words is "forty-two trillion, one hundred twenty-three billion, three hundred four million, four hundred thousand, four hundred".
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