| Base | Representation |
|---|---|
| bin | 10011001001101101010010… |
| … | …00001011001010111000000 |
| 3 | 12112010011011001211210020000 |
| 4 | 21210312221001121113000 |
| 5 | 21010002444423142200 |
| 6 | 225323205341120000 |
| 7 | 11604464466630120 |
| oct | 1144665101312700 |
| 9 | 175104131753200 |
| 10 | 42114990052800 |
| 11 | 12467959a49545 |
| 12 | 4882200b59000 |
| 13 | 1a665710b3aa2 |
| 14 | a5853ab80c80 |
| 15 | 4d0792e31300 |
| hex | 264da90595c0 |
42114990052800 has 1680 divisors, whose sum is σ = 182123881420800. Its totient is φ = 9344308469760.
The previous prime is 42114990052777. The next prime is 42114990052801. The reversal of 42114990052800 is 825009941124.
It is a happy number.
42114990052800 is a `hidden beast` number, since 4 + 2 + 114 + 9 + 9 + 0 + 0 + 528 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (1680).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (42114990052801) by changing a digit.
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 239 ways as a sum of consecutive naturals, for example, 17555226001 + ... + 17555228399.
Almost surely, 242114990052800 is an apocalyptic number.
42114990052800 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 42114990052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91061940710400).
42114990052800 is an abundant number, since it is smaller than the sum of its proper divisors (140008891368000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42114990052800 is a wasteful number, since it uses less digits than its factorization.
42114990052800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3000 (or 2976 counting only the distinct ones).
The product of its (nonzero) digits is 207360, while the sum is 45.
Adding to 42114990052800 its reverse (825009941124), we get a palindrome (42939999993924).
The spelling of 42114990052800 in words is "forty-two trillion, one hundred fourteen billion, nine hundred ninety million, fifty-two thousand, eight hundred".
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