| Base | Representation |
|---|---|
| bin | 100000110101111010010010… |
| … | …110111100011010001111000 |
| 3 | 200221102112121020222012000100 |
| 4 | 200311322102313203101320 |
| 5 | 122413020123313403230 |
| 6 | 1231111500454035400 |
| 7 | 42265414502005662 |
| oct | 4065722267432170 |
| 9 | 627375536865010 |
| 10 | 144442214200440 |
| 11 | 42029665351872 |
| 12 | 14249a51348b60 |
| 13 | 6279ac4860aa0 |
| 14 | 279507d093532 |
| 15 | 11a7417e4b660 |
| hex | 835e92de3478 |
144442214200440 has 768 divisors, whose sum is σ = 539355175632000. Its totient is φ = 33209543688192.
The previous prime is 144442214200421. The next prime is 144442214200549. The reversal of 144442214200440 is 44002412244441.
144442214200440 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 4 + 2 + 2 + 1 + 4 + 200 + 440 = 666.
144442214200440 is digitally balanced in base 2 and base 4, 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 (36).
It is a junction number, because it is equal to n+sod(n) for n = 144442214200395 and 144442214200404.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15209241772 + ... + 15209251268.
Almost surely, 2144442214200440 is an apocalyptic number.
144442214200440 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 144442214200440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269677587816000).
144442214200440 is an abundant number, since it is smaller than the sum of its proper divisors (394912961431560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144442214200440 is a wasteful number, since it uses less digits than its factorization.
144442214200440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10976 (or 10969 counting only the distinct ones).
The product of its (nonzero) digits is 131072, while the sum is 36.
Adding to 144442214200440 its reverse (44002412244441), we get a palindrome (188444626444881).
The spelling of 144442214200440 in words is "one hundred forty-four trillion, four hundred forty-two billion, two hundred fourteen million, two hundred thousand, four hundred forty".
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