Base | Representation |
---|---|
bin | 10000010101010110101… |
… | …001111101001101010000 |
3 | 10222022012210110021222101 |
4 | 100111112221331031100 |
5 | 121342224204202230 |
6 | 2215350355050144 |
7 | 144044055105511 |
oct | 20252651751520 |
9 | 3868183407871 |
10 | 1122440303440 |
11 | 3a302a320115 |
12 | 161652ba0954 |
13 | 81acbc10531 |
14 | 3c47d900a08 |
15 | 1e2e5aa4aca |
hex | 10556a7d350 |
1122440303440 has 80 divisors (see below), whose sum is σ = 2637099371088. Its totient is φ = 444259565568.
The previous prime is 1122440303381. The next prime is 1122440303477. The reversal of 1122440303440 is 443030442211.
It can be written as a sum of positive squares in 8 ways, for example, as 17898158656 + 1104542144784 = 133784^2 + 1050972^2 .
It is a tau number, because it is divible by the number of its divisors (80).
It is a junction number, because it is equal to n+sod(n) for n = 1122440303399 and 1122440303408.
It is a congruent number.
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, 50840244 + ... + 50862316.
Almost surely, 21122440303440 is an apocalyptic number.
1122440303440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1122440303440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318549685544).
1122440303440 is an abundant number, since it is smaller than the sum of its proper divisors (1514659067648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1122440303440 is a wasteful number, since it uses less digits than its factorization.
1122440303440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 28736 (or 28730 counting only the distinct ones).
The product of its (nonzero) digits is 9216, while the sum is 28.
Adding to 1122440303440 its reverse (443030442211), we get a palindrome (1565470745651).
The spelling of 1122440303440 in words is "one trillion, one hundred twenty-two billion, four hundred forty million, three hundred three thousand, four hundred forty".
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