Base | Representation |
---|---|
bin | 1111110010111110… |
… | …0101010101110000 |
3 | 101221111221012011200 |
4 | 3330233211111300 |
5 | 32141011112034 |
6 | 1540433011200 |
7 | 210036141246 |
oct | 37457452560 |
9 | 11844835150 |
10 | 4240332144 |
11 | 1886614334 |
12 | 9a40b3b00 |
13 | 52765a799 |
14 | 2c3234796 |
15 | 19c3e9a99 |
hex | fcbe5570 |
4240332144 has 120 divisors (see below), whose sum is σ = 12511699200. Its totient is φ = 1336901760.
The previous prime is 4240332143. The next prime is 4240332149. The reversal of 4240332144 is 4412330424.
It is a happy number.
4240332144 is a `hidden beast` number, since 42 + 403 + 3 + 214 + 4 = 666.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4240332143) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 3367387 + ... + 3368645.
It is an arithmetic number, because the mean of its divisors is an integer number (104264160).
Almost surely, 24240332144 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 4240332144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6255849600).
4240332144 is an abundant number, since it is smaller than the sum of its proper divisors (8271367056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4240332144 is a wasteful number, since it uses less digits than its factorization.
4240332144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2523 (or 2514 counting only the distinct ones).
The product of its (nonzero) digits is 9216, while the sum is 27.
The square root of 4240332144 is about 65117.8327649193. The cubic root of 4240332144 is about 1618.5767289003.
Adding to 4240332144 its reverse (4412330424), we get a palindrome (8652662568).
It can be divided in two parts, 42403 and 32144, that added together give a palindrome (74547).
The spelling of 4240332144 in words is "four billion, two hundred forty million, three hundred thirty-two thousand, one hundred forty-four".
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