Base | Representation |
---|---|
bin | 1010001001011011000111… |
… | …11011000100101111110000 |
3 | 2221000012102020001010010211 |
4 | 11010231203323010233300 |
5 | 10411043114033024130 |
6 | 115242531412433504 |
7 | 4462064334353032 |
oct | 504554373045760 |
9 | 87005366033124 |
10 | 22314031533040 |
11 | 7123367090615 |
12 | 2604738018894 |
13 | c5b286676580 |
14 | 57200d5b3c52 |
15 | 28a68c2d3a2a |
hex | 144b63ec4bf0 |
22314031533040 has 40 divisors (see below), whose sum is σ = 55870902033408. Its totient is φ = 8239027027200.
The previous prime is 22314031533007. The next prime is 22314031533047. The reversal of 22314031533040 is 4033513041322.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (40).
It is a super-3 number, since 3×223140315330403 (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 = 22314031532993 and 22314031533011.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22314031533047) by changing a digit.
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, 10727898736 + ... + 10727900815.
Almost surely, 222314031533040 is an apocalyptic number.
22314031533040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
22314031533040 is an abundant number, since it is smaller than the sum of its proper divisors (33556870500368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22314031533040 is a wasteful number, since it uses less digits than its factorization.
22314031533040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 21455799577 (or 21455799571 counting only the distinct ones).
The product of its (nonzero) digits is 25920, while the sum is 31.
Adding to 22314031533040 its reverse (4033513041322), we get a palindrome (26347544574362).
The spelling of 22314031533040 in words is "twenty-two trillion, three hundred fourteen billion, thirty-one million, five hundred thirty-three thousand, forty".
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