| Base | Representation |
|---|---|
| bin | 1110111100110111… |
| … | …1011000001000000 |
| 3 | 101100200221001120220 |
| 4 | 3233031323001000 |
| 5 | 31204412413344 |
| 6 | 1502125103040 |
| 7 | 201312241644 |
| oct | 35715730100 |
| 9 | 11320831526 |
| 10 | 4013404224 |
| 11 | 177a509aa5 |
| 12 | 9400b7a80 |
| 13 | 4bc6358cb |
| 14 | 2a1042c24 |
| 15 | 187521c19 |
| hex | ef37b040 |
4013404224 has 112 divisors (see below), whose sum is σ = 10883920320. Its totient is φ = 1304709120.
The previous prime is 4013404223. The next prime is 4013404247. The reversal of 4013404224 is 4224043104.
It is a happy number.
4013404224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×40134042242 = 32214826930442084352, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 4013404194 and 4013404203.
It is not an unprimeable number, because it can be changed into a prime (4013404223) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1840767 + ... + 1842945.
It is an arithmetic number, because the mean of its divisors is an integer number (97177860).
Almost surely, 24013404224 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 4013404224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5441960160).
4013404224 is an abundant number, since it is smaller than the sum of its proper divisors (6870516096).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4013404224 is a wasteful number, since it uses less digits than its factorization.
4013404224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2428 (or 2418 counting only the distinct ones).
The product of its (nonzero) digits is 3072, while the sum is 24.
The square root of 4013404224 is about 63351.4342694781. The cubic root of 4013404224 is about 1589.1722316049.
Adding to 4013404224 its reverse (4224043104), we get a palindrome (8237447328).
The spelling of 4013404224 in words is "four billion, thirteen million, four hundred four thousand, two hundred twenty-four".
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