| Base | Representation |
|---|---|
| bin | 1100101111110111110… |
| … | …10100000001011000000 |
| 3 | 1112212121020100200100000 |
| 4 | 12113323322200023000 |
| 5 | 24134030114123430 |
| 6 | 533120040200000 |
| 7 | 43434332353140 |
| oct | 6277372401300 |
| 9 | 1485536320300 |
| 10 | 438018114240 |
| 11 | 159842896323 |
| 12 | 70a83469000 |
| 13 | 323c6c19525 |
| 14 | 172b346c920 |
| 15 | b5d93e9e60 |
| hex | 65fbea02c0 |
438018114240 has 1344 divisors, whose sum is σ = 1927286000640. Its totient is φ = 92446064640.
The previous prime is 438018114211. The next prime is 438018114241. The reversal of 438018114240 is 42411810834.
It is a happy number.
438018114240 is a `hidden beast` number, since 438 + 0 + 1 + 81 + 142 + 4 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (1344).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 438018114195 and 438018114204.
It is not an unprimeable number, because it can be changed into a prime (438018114241) 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 191 ways as a sum of consecutive naturals, for example, 424024764 + ... + 424025796.
It is an arithmetic number, because the mean of its divisors is an integer number (1433992560).
Almost surely, 2438018114240 is an apocalyptic number.
438018114240 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 438018114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963643000320).
438018114240 is an abundant number, since it is smaller than the sum of its proper divisors (1489267886400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
438018114240 is a wasteful number, since it uses less digits than its factorization.
438018114240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1132 (or 1110 counting only the distinct ones).
The product of its (nonzero) digits is 24576, while the sum is 36.
The spelling of 438018114240 in words is "four hundred thirty-eight billion, eighteen million, one hundred fourteen thousand, two hundred forty".
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