Base | Representation |
---|---|
bin | 1010001001101000010111… |
… | …10000010010010011000000 |
3 | 2221000212202210002200120011 |
4 | 11010310023300102103000 |
5 | 10411202144403311134 |
6 | 115250105143554304 |
7 | 4462435466406253 |
oct | 504641360222300 |
9 | 87025683080504 |
10 | 22321142244544 |
11 | 71263859823a0 |
12 | 2605ba145b994 |
13 | c5bb4a8a3680 |
14 | 5724c5b0d09a |
15 | 28a9566bb264 |
hex | 144d0bc124c0 |
22321142244544 has 112 divisors (see below), whose sum is σ = 52040780892576. Its totient is φ = 9364858675200.
The previous prime is 22321142244521. The next prime is 22321142244563. The reversal of 22321142244544 is 44544224112322.
It is a super-3 number, since 3×223211422445443 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a junction number, because it is equal to n+sod(n) for n = 22321142244497 and 22321142244506.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143947534 + ... + 144102514.
It is an arithmetic number, because the mean of its divisors is an integer number (464649829398).
Almost surely, 222321142244544 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 22321142244544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26020390446288).
22321142244544 is an abundant number, since it is smaller than the sum of its proper divisors (29719638648032).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22321142244544 is a wasteful number, since it uses less digits than its factorization.
22321142244544 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 170754 (or 170744 counting only the distinct ones).
The product of its digits is 491520, while the sum is 40.
Adding to 22321142244544 its reverse (44544224112322), we get a palindrome (66865366356866).
The spelling of 22321142244544 in words is "twenty-two trillion, three hundred twenty-one billion, one hundred forty-two million, two hundred forty-four thousand, five hundred forty-four".
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