Base | Representation |
---|---|
bin | 100010001001111… |
… | …1101000000100000 |
3 | 2221212112222000000 |
4 | 1010103331000200 |
5 | 4321344100222 |
6 | 305420300000 |
7 | 40254346635 |
oct | 10423750040 |
9 | 2855488000 |
10 | 1146081312 |
11 | 538a29942 |
12 | 27b9a1600 |
13 | 15359652c |
14 | ac2d618c |
15 | 6a9399ac |
hex | 444fd020 |
1146081312 has 168 divisors, whose sum is σ = 3434411484. Its totient is φ = 376233984.
The previous prime is 1146081301. The next prime is 1146081319. The reversal of 1146081312 is 2131806411.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 1142710416 + 3370896 = 33804^2 + 1836^2 .
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1146081319) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1702608 + ... + 1703280.
Almost surely, 21146081312 is an apocalyptic number.
1146081312 is a gapful number since it is divisible by the number (12) 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 1146081312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717205742).
1146081312 is an abundant number, since it is smaller than the sum of its proper divisors (2288330172).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1146081312 is an frugal number, since it uses more digits than its factorization.
1146081312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 774 (or 751 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 27.
The square root of 1146081312 is about 33853.8227088168. The cubic root of 1146081312 is about 1046.4981790718.
Adding to 1146081312 its reverse (2131806411), we get a palindrome (3277887723).
The spelling of 1146081312 in words is "one billion, one hundred forty-six million, eighty-one thousand, three hundred twelve".
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