Base | Representation |
---|---|
bin | 1110111101000010… |
… | …0101110111000000 |
3 | 101100202020121111112 |
4 | 3233100211313000 |
5 | 31210102312000 |
6 | 1502152102452 |
7 | 201321215054 |
oct | 35720456700 |
9 | 11322217445 |
10 | 4014104000 |
11 | 177a947825 |
12 | 940394a28 |
13 | 4bc81c28a |
14 | 2a1185c64 |
15 | 18760e235 |
hex | ef425dc0 |
4014104000 has 112 divisors (see below), whose sum is σ = 10090647840. Its totient is φ = 1581465600.
The previous prime is 4014103987. The next prime is 4014104009. The reversal of 4014104000 is 4014104.
4014104000 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 2×40141040002 = 32226061845632000000, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4014104009) 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, 532256 + ... + 539744.
It is an arithmetic number, because the mean of its divisors is an integer number (90095070).
Almost surely, 24014104000 is an apocalyptic number.
4014104000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 4014104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5045323920).
4014104000 is an abundant number, since it is smaller than the sum of its proper divisors (6076543840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4014104000 is an equidigital number, since it uses as much as digits as its factorization.
4014104000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7583 (or 7563 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 14.
The square root of 4014104000 is about 63356.9569976337. The cubic root of 4014104000 is about 1589.2645887742.
Adding to 4014104000 its reverse (4014104), we get a palindrome (4018118104).
4014104000 divided by its reverse (4014104) gives a cube (1000 = 103).
The spelling of 4014104000 in words is "four billion, fourteen million, one hundred four thousand".
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