Base | Representation |
---|---|
bin | 1000011000011110111… |
… | …0111010010000000000 |
3 | 111202201101101000100100 |
4 | 2012013232322100000 |
5 | 4324413323022034 |
6 | 150054030322400 |
7 | 13255505340162 |
oct | 2060756722000 |
9 | 452641330310 |
10 | 144011142144 |
11 | 56090598651 |
12 | 23ab1059400 |
13 | 107708b509c |
14 | 6d82242932 |
15 | 3b2ce48099 |
hex | 2187bba400 |
144011142144 has 297 divisors, whose sum is σ = 429404063907. Its totient is φ = 46485762048.
The previous prime is 144011142109. The next prime is 144011142157. The reversal of 144011142144 is 441241110441.
The square root of 144011142144 is 379488.
It is a perfect power (a square), and thus also a powerful number.
144011142144 is a `hidden beast` number, since 1 + 4 + 401 + 114 + 2 + 144 = 666.
It is an unprimeable number.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2149419999 + ... + 2149420065.
Almost surely, 2144011142144 is an apocalyptic number.
144011142144 is the 379488-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 144011142144
144011142144 is an abundant number, since it is smaller than the sum of its proper divisors (285392921763).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144011142144 is an frugal number, since it uses more digits than its factorization.
144011142144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 278 (or 131 counting only the distinct ones).
The product of its (nonzero) digits is 2048, while the sum is 27.
Adding to 144011142144 its reverse (441241110441), we get a palindrome (585252252585).
The spelling of 144011142144 in words is "one hundred forty-four billion, eleven million, one hundred forty-two thousand, one hundred forty-four".
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