Base | Representation |
---|---|
bin | 1010101010000000001100… |
… | …00110110101110010010000 |
3 | 10001222012211000010120110111 |
4 | 11111000012012311302100 |
5 | 11032413143132222230 |
6 | 121501101531211104 |
7 | 4636003405466353 |
oct | 525000606656220 |
9 | 101865730116414 |
10 | 23433444023440 |
11 | 7515082273a00 |
12 | 2765684ba6a94 |
13 | 100c9c21b4b49 |
14 | 5b0282d0c29a |
15 | 2a985714d92a |
hex | 1550061b5c90 |
23433444023440 has 120 divisors (see below), whose sum is σ = 59922629315640. Its totient is φ = 8516041205760.
The previous prime is 23433444023389. The next prime is 23433444023441. The reversal of 23433444023440 is 4432044433432.
It can be written as a sum of positive squares in 4 ways, for example, as 1395601998736 + 22037842024704 = 1181356^2 + 4694448^2 .
It is a Harshad number since it is a multiple of its sum of digits (40).
It is a junction number, because it is equal to n+sod(n) for n = 23433444023393 and 23433444023402.
It is not an unprimeable number, because it can be changed into a prime (23433444023441) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15106756 + ... + 16585564.
It is an arithmetic number, because the mean of its divisors is an integer number (499355244297).
Almost surely, 223433444023440 is an apocalyptic number.
23433444023440 is a gapful number since it is divisible by the number (20) 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 23433444023440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29961314657820).
23433444023440 is an abundant number, since it is smaller than the sum of its proper divisors (36489185292200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23433444023440 is a wasteful number, since it uses less digits than its factorization.
23433444023440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1480481 (or 1480464 counting only the distinct ones).
The product of its (nonzero) digits is 1327104, while the sum is 40.
Adding to 23433444023440 its reverse (4432044433432), we get a palindrome (27865488456872).
The spelling of 23433444023440 in words is "twenty-three trillion, four hundred thirty-three billion, four hundred forty-four million, twenty-three thousand, four hundred forty".
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