Base | Representation |
---|---|
bin | 1000011000100001001… |
… | …0011000100100000000 |
3 | 111202202000212110110011 |
4 | 2012020102120210000 |
5 | 4324423213110334 |
6 | 150055001514304 |
7 | 13255650360433 |
oct | 2061022304400 |
9 | 452660773404 |
10 | 144020441344 |
11 | 5609586a23a |
12 | 23ab41a2994 |
13 | 107727bc980 |
14 | 6d8358381a |
15 | 3b2db83564 |
hex | 2188498900 |
144020441344 has 72 divisors (see below), whose sum is σ = 309686215160. Its totient is φ = 66450751488.
The previous prime is 144020441293. The next prime is 144020441363. The reversal of 144020441344 is 443144020441.
It can be written as a sum of positive squares in 4 ways, for example, as 2884978944 + 141135462400 = 53712^2 + 375680^2 .
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21086122 + ... + 21092950.
Almost surely, 2144020441344 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 144020441344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154843107580).
144020441344 is an abundant number, since it is smaller than the sum of its proper divisors (165665773816).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144020441344 is an equidigital number, since it uses as much as digits as its factorization.
144020441344 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 13195 (or 13181 counting only the distinct ones).
The product of its (nonzero) digits is 24576, while the sum is 31.
Adding to 144020441344 its reverse (443144020441), we get a palindrome (587164461785).
The spelling of 144020441344 in words is "one hundred forty-four billion, twenty million, four hundred forty-one thousand, three hundred forty-four".
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