| Base | Representation |
|---|---|
| bin | 1000011001111111000… |
| … | …1010011101111000000 |
| 3 | 111210202111012212001101 |
| 4 | 2012133301103233000 |
| 5 | 4331230043032000 |
| 6 | 150202034144144 |
| 7 | 13301503231060 |
| oct | 2063761235700 |
| 9 | 453674185041 |
| 10 | 144414424000 |
| 11 | 562781a5240 |
| 12 | 23ba4122054 |
| 13 | 108063053c2 |
| 14 | 6dbda1d3a0 |
| 15 | 3b53558e6a |
| hex | 219fc53bc0 |
144414424000 has 448 divisors, whose sum is σ = 465323968512. Its totient is φ = 43051008000.
The previous prime is 144414423961. The next prime is 144414424003. The reversal of 144414424000 is 424414441.
144414424000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (448).
It is a Harshad number since it is a multiple of its sum of digits (28).
It is a self number, because there is not a number n which added to its sum of digits gives 144414424000.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (144414424003) 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 63 ways as a sum of consecutive naturals, for example, 14162904 + ... + 14173096.
Almost surely, 2144414424000 is an apocalyptic number.
144414424000 is a gapful number since it is divisible by the number (10) 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 144414424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232661984256).
144414424000 is an abundant number, since it is smaller than the sum of its proper divisors (320909544512).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144414424000 is a wasteful number, since it uses less digits than its factorization.
144414424000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10261 (or 10241 counting only the distinct ones).
The product of its (nonzero) digits is 8192, while the sum is 28.
Adding to 144414424000 its reverse (424414441), we get a palindrome (144838838441).
The spelling of 144414424000 in words is "one hundred forty-four billion, four hundred fourteen million, four hundred twenty-four thousand".
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