Base | Representation |
---|---|
bin | 1111000001001010… |
… | …1011111000000000 |
3 | 101101221211212111120 |
4 | 3300102223320000 |
5 | 31224021231034 |
6 | 1504011312240 |
7 | 201621406440 |
oct | 36022537000 |
9 | 11357755446 |
10 | 4031430144 |
11 | 1789701155 |
12 | 94614b680 |
13 | 4c32a7631 |
14 | 2a35b6120 |
15 | 188dd2c49 |
hex | f04abe00 |
4031430144 has 160 divisors (see below), whose sum is σ = 12339376896. Its totient is φ = 1145733120.
The previous prime is 4031430131. The next prime is 4031430173. The reversal of 4031430144 is 4410341304.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 2267784 + ... + 2269560.
Almost surely, 24031430144 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 4031430144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6169688448).
4031430144 is an abundant number, since it is smaller than the sum of its proper divisors (8307946752).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4031430144 is a wasteful number, since it uses less digits than its factorization.
4031430144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2016 (or 2000 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 24.
The square root of 4031430144 is about 63493.5441127679. The cubic root of 4031430144 is about 1591.5478965032.
Adding to 4031430144 its reverse (4410341304), we get a palindrome (8441771448).
The spelling of 4031430144 in words is "four billion, thirty-one million, four hundred thirty thousand, one hundred forty-four".
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