Base | Representation |
---|---|
bin | 1000011000100100001… |
… | …1111111001001010000 |
3 | 111202202221100002100000 |
4 | 2012021003333021100 |
5 | 4324440030210212 |
6 | 150100144330000 |
7 | 13256166035343 |
oct | 2061103771120 |
9 | 452687302300 |
10 | 144033444432 |
11 | 560a2140699 |
12 | 23ab8613900 |
13 | 107753c33c7 |
14 | 6d851aa45a |
15 | 3b2eda11dc |
hex | 21890ff250 |
144033444432 has 120 divisors (see below), whose sum is σ = 423060359904. Its totient is φ = 47432594304.
The previous prime is 144033444431. The next prime is 144033444449. The reversal of 144033444432 is 234444330441.
144033444432 is a `hidden beast` number, since 144 + 0 + 33 + 44 + 443 + 2 = 666.
It is a super-2 number, since 2×1440334444322 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (144033444431) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99538 + ... + 545870.
Almost surely, 2144033444432 is an apocalyptic number.
144033444432 is a gapful number since it is divisible by the number (12) 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 144033444432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211530179952).
144033444432 is an abundant number, since it is smaller than the sum of its proper divisors (279026915472).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144033444432 is an equidigital number, since it uses as much as digits as its factorization.
144033444432 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 446439 (or 446421 counting only the distinct ones).
The product of its (nonzero) digits is 221184, while the sum is 36.
Adding to 144033444432 its reverse (234444330441), we get a palindrome (378477774873).
The spelling of 144033444432 in words is "one hundred forty-four billion, thirty-three million, four hundred forty-four thousand, four hundred thirty-two".
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