Base | Representation |
---|---|
bin | 1010001101001101011011… |
… | …11000100111000100000000 |
3 | 2221110122012102010002112111 |
4 | 11012212231320213010000 |
5 | 10420211030040420112 |
6 | 115422404222305104 |
7 | 4504351152222424 |
oct | 506465570470400 |
9 | 87418172102474 |
10 | 22444121420032 |
11 | 7173553474114 |
12 | 26259a2a28194 |
13 | c6a619060770 |
14 | 57843099ab84 |
15 | 28dc52ea05a7 |
hex | 1469ade27100 |
22444121420032 has 144 divisors (see below), whose sum is σ = 48340732712832. Its totient is φ = 10338672476160.
The previous prime is 22444121420011. The next prime is 22444121420179. The reversal of 22444121420032 is 23002412144422.
It is a junction number, because it is equal to n+sod(n) for n = 22444121419976 and 22444121420003.
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 15 ways as a sum of consecutive naturals, for example, 4920875032 + ... + 4920879592.
It is an arithmetic number, because the mean of its divisors is an integer number (335699532728).
Almost surely, 222444121420032 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 22444121420032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24170366356416).
22444121420032 is an abundant number, since it is smaller than the sum of its proper divisors (25896611292800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22444121420032 is a wasteful number, since it uses less digits than its factorization.
22444121420032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7144 (or 7130 counting only the distinct ones).
The product of its (nonzero) digits is 24576, while the sum is 31.
Adding to 22444121420032 its reverse (23002412144422), we get a palindrome (45446533564454).
The spelling of 22444121420032 in words is "twenty-two trillion, four hundred forty-four billion, one hundred twenty-one million, four hundred twenty thousand, thirty-two".
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