Base | Representation |
---|---|
bin | 1010001001101010101111… |
… | …11111111000101000100000 |
3 | 2221001000001221001121220120 |
4 | 11010311113333320220200 |
5 | 10411212304334332034 |
6 | 115250440120440240 |
7 | 4462512261151563 |
oct | 504652777705040 |
9 | 87030057047816 |
10 | 22322421402144 |
11 | 7126981a34436 |
12 | 2606299919080 |
13 | c5bcc28c1966 |
14 | 5725a79664da |
15 | 28a9cdb40c49 |
hex | 144d57ff8a20 |
22322421402144 has 48 divisors (see below), whose sum is σ = 58596845156640. Its totient is φ = 7440745041920.
The previous prime is 22322421402139. The next prime is 22322421402161. The reversal of 22322421402144 is 44120412422322.
It is a tau number, because it is divible by the number of its divisors (48).
It is a super-3 number, since 3×223224214021443 (a number of 41 digits) contains 333 as substring.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11412787 + ... + 13224845.
It is an arithmetic number, because the mean of its divisors is an integer number (1220767607430).
Almost surely, 222322421402144 is an apocalyptic number.
22322421402144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.
It is an amenable number.
22322421402144 is an abundant number, since it is smaller than the sum of its proper divisors (36274423754496).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22322421402144 is a wasteful number, since it uses less digits than its factorization.
22322421402144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1940393 (or 1940385 counting only the distinct ones).
The product of its (nonzero) digits is 49152, while the sum is 33.
Adding to 22322421402144 its reverse (44120412422322), we get a palindrome (66442833824466).
The spelling of 22322421402144 in words is "twenty-two trillion, three hundred twenty-two billion, four hundred twenty-one million, four hundred two thousand, one hundred forty-four".
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