Base | Representation |
---|---|
bin | 100010000010111… |
… | …1101100000100000 |
3 | 2221121122121111100 |
4 | 1010011331200200 |
5 | 4314424211334 |
6 | 305205514400 |
7 | 40211232102 |
oct | 10405754040 |
9 | 2847577440 |
10 | 1142413344 |
11 | 536954066 |
12 | 27a712a00 |
13 | 1528b0b37 |
14 | aba1d572 |
15 | 6a462c99 |
hex | 4417d820 |
1142413344 has 72 divisors (see below), whose sum is σ = 3256596252. Its totient is φ = 379883520.
The previous prime is 1142413331. The next prime is 1142413367. The reversal of 1142413344 is 4433142411.
It can be written as a sum of positive squares in 2 ways, for example, as 1038128400 + 104284944 = 32220^2 + 10212^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is a nude number because it is divisible by every one of its digits.
It is an unprimeable number.
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 11 ways as a sum of consecutive naturals, for example, 120124 + ... + 129284.
Almost surely, 21142413344 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1142413344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628298126).
1142413344 is an abundant number, since it is smaller than the sum of its proper divisors (2114182908).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1142413344 is a wasteful number, since it uses less digits than its factorization.
1142413344 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9610 (or 9599 counting only the distinct ones).
The product of its digits is 4608, while the sum is 27.
The square root of 1142413344 is about 33799.6056781732. The cubic root of 1142413344 is about 1045.3805666536.
Adding to 1142413344 its reverse (4433142411), we get a palindrome (5575555755).
The spelling of 1142413344 in words is "one billion, one hundred forty-two million, four hundred thirteen thousand, three hundred forty-four".
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