Base | Representation |
---|---|
bin | 1010000110001001010110… |
… | …11010100101001101000100 |
3 | 2220121102201201221000211200 |
4 | 11003010223122211031010 |
5 | 10402221444032411234 |
6 | 115115104451302500 |
7 | 4450666513130262 |
oct | 503045332451504 |
9 | 86542651830750 |
10 | 22201414341444 |
11 | 708a626673748 |
12 | 25a69488aaa30 |
13 | c50779b976b0 |
14 | 56a7a8995432 |
15 | 28779a561d99 |
hex | 14312b6a5344 |
22201414341444 has 36 divisors (see below), whose sum is σ = 60437183486316. Its totient is φ = 6831204412608.
The previous prime is 22201414341427. The next prime is 22201414341461. The reversal of 22201414341444 is 44414341410222.
22201414341444 is a `hidden beast` number, since 2 + 2 + 20 + 14 + 143 + 41 + 444 = 666.
It is an interprime number because it is at equal distance from previous prime (22201414341427) and next prime (22201414341461).
It can be written as a sum of positive squares in 2 ways, for example, as 4361874020100 + 17839540321344 = 2088510^2 + 4223688^2 .
It is a tau number, because it is divible by the number of its divisors (36).
It is a super-5 number, since 5×222014143414445 (a number of 68 digits) contains 55555 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 22201414341399 and 22201414341408.
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 11 ways as a sum of consecutive naturals, for example, 23719459299 + ... + 23719460234.
Almost surely, 222201414341444 is an apocalyptic number.
It is an amenable number.
22201414341444 is an abundant number, since it is smaller than the sum of its proper divisors (38235769144872).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22201414341444 is a wasteful number, since it uses less digits than its factorization.
22201414341444 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 47438919556 (or 47438919551 counting only the distinct ones).
The product of its (nonzero) digits is 98304, while the sum is 36.
Adding to 22201414341444 its reverse (44414341410222), we get a palindrome (66615755751666).
The spelling of 22201414341444 in words is "twenty-two trillion, two hundred one billion, four hundred fourteen million, three hundred forty-one thousand, four hundred forty-four".
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