Base | Representation |
---|---|
bin | 101010111011001… |
… | …0110100010000000 |
3 | 10201101012101211120 |
4 | 1111312112202000 |
5 | 10422204431144 |
6 | 354530512240 |
7 | 50456305446 |
oct | 12566264200 |
9 | 3641171746 |
10 | 1440311424 |
11 | 67a022322 |
12 | 342435680 |
13 | 19c523ca6 |
14 | d9406b96 |
15 | 866a8e19 |
hex | 55d96880 |
1440311424 has 64 divisors (see below), whose sum is σ = 3830867040. Its totient is φ = 479471616.
The previous prime is 1440311401. The next prime is 1440311437. The reversal of 1440311424 is 4241130441.
It is a tau number, because it is divible by the number of its divisors (64).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 1440311394 and 1440311403.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 357807 + ... + 361809.
Almost surely, 21440311424 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 1440311424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1915433520).
1440311424 is an abundant number, since it is smaller than the sum of its proper divisors (2390555616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1440311424 is an equidigital number, since it uses as much as digits as its factorization.
1440311424 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4957 (or 4945 counting only the distinct ones).
The product of its (nonzero) digits is 1536, while the sum is 24.
The square root of 1440311424 is about 37951.4350716808. The cubic root of 1440311424 is about 1129.3246346796.
Adding to 1440311424 its reverse (4241130441), we get a palindrome (5681441865).
The spelling of 1440311424 in words is "one billion, four hundred forty million, three hundred eleven thousand, four hundred twenty-four".
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