Base | Representation |
---|---|
bin | 1111000011100011… |
… | …1000010000001010 |
3 | 101102122200112121200 |
4 | 3300320320100022 |
5 | 31234102123224 |
6 | 1505010045030 |
7 | 202102456440 |
oct | 36070702012 |
9 | 11378615550 |
10 | 4041442314 |
11 | 179431a478 |
12 | 949579776 |
13 | 4c53a18b0 |
14 | 2a4a60b90 |
15 | 189c0e5c9 |
hex | f0e3840a |
4041442314 has 96 divisors (see below), whose sum is σ = 10793502720. Its totient is φ = 1064261376.
The previous prime is 4041442297. The next prime is 4041442331. The reversal of 4041442314 is 4132441404.
It is an interprime number because it is at equal distance from previous prime (4041442297) and next prime (4041442331).
It is a Curzon number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1402327 + ... + 1405205.
It is an arithmetic number, because the mean of its divisors is an integer number (112432320).
Almost surely, 24041442314 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 4041442314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5396751360).
4041442314 is an abundant number, since it is smaller than the sum of its proper divisors (6752060406).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4041442314 is a wasteful number, since it uses less digits than its factorization.
4041442314 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3764 (or 3761 counting only the distinct ones).
The product of its (nonzero) digits is 6144, while the sum is 27.
The square root of 4041442314 is about 63572.3392207649. The cubic root of 4041442314 is about 1592.8643585822.
Adding to 4041442314 its reverse (4132441404), we get a palindrome (8173883718).
It can be divided in two parts, 40414 and 42314, that added together give a palindrome (82728).
The spelling of 4041442314 in words is "four billion, forty-one million, four hundred forty-two thousand, three hundred fourteen".
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