Base | Representation |
---|---|
bin | 1000011001111110100… |
… | …1010101000110011100 |
3 | 111210202100021120222100 |
4 | 2012133221111012130 |
5 | 4331224024114234 |
6 | 150201521245100 |
7 | 13301446400202 |
oct | 2063751250634 |
9 | 453670246870 |
10 | 144412332444 |
11 | 56276aa6886 |
12 | 23ba3493790 |
13 | 10805a523b3 |
14 | 6dbd637072 |
15 | 3b53294399 |
hex | 219fa5519c |
144412332444 has 72 divisors (see below), whose sum is σ = 394640377040. Its totient is φ = 44371348992.
The previous prime is 144412332433. The next prime is 144412332457. The reversal of 144412332444 is 444233214441.
144412332444 is a `hidden beast` number, since 144 + 41 + 2 + 3 + 32 + 444 = 666.
144412332444 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 super-3 number, since 3×1444123324443 (a number of 34 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 144412332399 and 144412332408.
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 23 ways as a sum of consecutive naturals, for example, 2827789 + ... + 2878404.
Almost surely, 2144412332444 is an apocalyptic number.
It is an amenable number.
144412332444 is an abundant number, since it is smaller than the sum of its proper divisors (250228044596).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144412332444 is a wasteful number, since it uses less digits than its factorization.
144412332444 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5706259 (or 5706254 counting only the distinct ones).
The product of its digits is 147456, while the sum is 36.
Adding to 144412332444 its reverse (444233214441), we get a palindrome (588645546885).
The spelling of 144412332444 in words is "one hundred forty-four billion, four hundred twelve million, three hundred thirty-two thousand, four hundred forty-four".
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