| Base | Representation |
|---|---|
| bin | 1111000011001101… |
| … | …1000001000000000 |
| 3 | 101102112222021010122 |
| 4 | 3300303120020000 |
| 5 | 31233220000000 |
| 6 | 1504515115412 |
| 7 | 202054301441 |
| oct | 36063301000 |
| 9 | 11375867118 |
| 10 | 4040000000 |
| 11 | 1793524883 |
| 12 | 948ba2b68 |
| 13 | 4c4cb825a |
| 14 | 2a47a72c8 |
| 15 | 189a27085 |
| hex | f0cd8200 |
4040000000 has 160 divisors (see below), whose sum is σ = 10190012976. Its totient is φ = 1600000000.
The previous prime is 4039999981. The next prime is 4040000047. The reversal of 4040000000 is 404.
It is a happy number.
It can be written as a sum of positive squares in 8 ways, for example, as 2820034816 + 1219965184 = 53104^2 + 34928^2 .
It is a tau number, because it is divible by the number of its divisors (160).
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 pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39999950 + ... + 40000050.
Almost surely, 24040000000 is an apocalyptic number.
4040000000 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 4040000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5095006488).
4040000000 is an abundant number, since it is smaller than the sum of its proper divisors (6150012976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4040000000 is an frugal number, since it uses more digits than its factorization.
4040000000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 154 (or 108 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 8.
The square root of 4040000000 is about 63560.9943282828. The cubic root of 4040000000 is about 1592.6748483578.
Adding to 4040000000 its reverse (404), we get a palindrome (4040000404).
4040000000 divided by its reverse (404) gives a 7-th power (10000000 = 107).
It can be divided in two parts, 40 and 40000000, that multiplied together give a 4-th power (1600000000 = 2004).
The spelling of 4040000000 in words is "four billion, forty million", and thus it is an aban number and an eban number.
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