| Base | Representation |
|---|---|
| bin | 1110111001101011… |
| … | …0011011110100000 |
| 3 | 101022202201020221022 |
| 4 | 3232122303132200 |
| 5 | 31143000112000 |
| 6 | 1500525545012 |
| 7 | 201060321146 |
| oct | 35632633640 |
| 9 | 11282636838 |
| 10 | 4000004000 |
| 11 | 1772997233 |
| 12 | 937715168 |
| 13 | 4b9923495 |
| 14 | 29d355596 |
| 15 | 186276585 |
| hex | ee6b37a0 |
4000004000 has 96 divisors (see below), whose sum is σ = 9926319312. Its totient is φ = 1584000000.
The previous prime is 4000003963. The next prime is 4000004023. The reversal of 4000004000 is 4000004.
It is a happy number.
It can be written as a sum of positive squares in 8 ways, for example, as 1918089616 + 2081914384 = 43796^2 + 45628^2 .
It is a Harshad number since it is a multiple of its sum of digits (8).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 399050 + ... + 408950.
Almost surely, 24000004000 is an apocalyptic number.
4000004000 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 4000004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4963159656).
4000004000 is an abundant number, since it is smaller than the sum of its proper divisors (5926315312).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4000004000 is a wasteful number, since it uses less digits than its factorization.
4000004000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10027 (or 10009 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 8.
The square root of 4000004000 is about 63245.5848261363. The cubic root of 4000004000 is about 1587.4015811017.
Adding to 4000004000 its reverse (4000004), we get a palindrome (4004004004).
4000004000 divided by its reverse (4000004) gives a cube (1000 = 103).
It can be divided in two parts, 400000 and 4000, that multiplied together give a 4-th power (1600000000 = 2004).
The spelling of 4000004000 in words is "four billion, four thousand", and thus it is an eban number.
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.070 sec. • engine limits •