| Base | Representation |
|---|---|
| bin | 1000011000111001110… |
| … | …1110111010100011000 |
| 3 | 111210000020221120212120 |
| 4 | 2012032131313110120 |
| 5 | 4330131233123300 |
| 6 | 150113143541240 |
| 7 | 13261346520603 |
| oct | 2061635672430 |
| 9 | 453006846776 |
| 10 | 144124114200 |
| 11 | 5613933a190 |
| 12 | 23b22a5a820 |
| 13 | 1078b11b161 |
| 14 | 6d9324d33a |
| 15 | 3b37d113a0 |
| hex | 218e777518 |
144124114200 has 192 divisors, whose sum is σ = 488245000320. Its totient is φ = 34878720000.
The previous prime is 144124114193. The next prime is 144124114219. The reversal of 144124114200 is 2411421441.
144124114200 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is an unprimeable number.
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 47 ways as a sum of consecutive naturals, for example, 3855600 + ... + 3892800.
It is an arithmetic number, because the mean of its divisors is an integer number (2542942710).
Almost surely, 2144124114200 is an apocalyptic number.
144124114200 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 144124114200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244122500160).
144124114200 is an abundant number, since it is smaller than the sum of its proper divisors (344120886120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144124114200 is a wasteful number, since it uses less digits than its factorization.
144124114200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 37818 (or 37809 counting only the distinct ones).
The product of its (nonzero) digits is 1024, while the sum is 24.
Adding to 144124114200 its reverse (2411421441), we get a palindrome (146535535641).
It can be divided in two parts, 14 and 4124114200, that added together give a palindrome (4124114214).
The spelling of 144124114200 in words is "one hundred forty-four billion, one hundred twenty-four million, one hundred fourteen thousand, two hundred".
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