Base | Representation |
---|---|
bin | 100010000110001… |
… | …0100001100001110 |
3 | 2221201210020111200 |
4 | 1010030110030032 |
5 | 4320341012433 |
6 | 305305330330 |
7 | 40231340430 |
oct | 10414241416 |
9 | 2851706450 |
10 | 1144079118 |
11 | 537891636 |
12 | 27b1969a6 |
13 | 1530450c0 |
14 | abd34650 |
15 | 6a691613 |
hex | 4431430e |
1144079118 has 96 divisors (see below), whose sum is σ = 3149432832. Its totient is φ = 291988800.
The previous prime is 1144079117. The next prime is 1144079159. The reversal of 1144079118 is 8119704411.
It is a happy number.
It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1144079117) 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 47 ways as a sum of consecutive naturals, for example, 39513 + ... + 62043.
It is an arithmetic number, because the mean of its divisors is an integer number (32806592).
Almost surely, 21144079118 is an apocalyptic number.
1144079118 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 1144079118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574716416).
1144079118 is an abundant number, since it is smaller than the sum of its proper divisors (2005353714).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1144079118 is a wasteful number, since it uses less digits than its factorization.
1144079118 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 22590 (or 22587 counting only the distinct ones).
The product of its (nonzero) digits is 8064, while the sum is 36.
The square root of 1144079118 is about 33824.2386167080. The cubic root of 1144079118 is about 1045.8884161369. Note that the first 3 decimals are identical.
The spelling of 1144079118 in words is "one billion, one hundred forty-four million, seventy-nine thousand, one hundred eighteen".
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