Base | Representation |
---|---|
bin | 100110000000000110… |
… | …111010000100000000 |
3 | 10220022200220222011021 |
4 | 212000012322010000 |
5 | 1132031311000000 |
6 | 30424535155224 |
7 | 2643106164061 |
oct | 460006720400 |
9 | 126280828137 |
10 | 40804000000 |
11 | 16339881155 |
12 | 7aa9215b14 |
13 | 3b03805cca |
14 | 1d91298568 |
15 | 10dc39e11a |
hex | 9801ba100 |
40804000000 has 189 divisors, whose sum is σ = 102827453323. Its totient is φ = 16160000000.
The previous prime is 40803999889. The next prime is 40804000009. The reversal of 40804000000 is 40804.
The square root of 40804000000 is 202000.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 10 ways, for example, as 39763550464 + 1040449536 = 199408^2 + 32256^2 .
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (40804000009) by changing a digit.
It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 403999950 + ... + 404000050.
Almost surely, 240804000000 is an apocalyptic number.
40804000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
40804000000 is the 202000-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 40804000000
40804000000 is an abundant number, since it is smaller than the sum of its proper divisors (62023453323).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40804000000 is an frugal number, since it uses more digits than its factorization.
40804000000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 248 (or 108 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 16.
Multiplying 40804000000 by its sum of digits (16), we get a square (652864000000 = 8080002).
40804000000 divided by its sum of digits (16) gives a square (2550250000 = 505002).
Adding to 40804000000 its reverse (40804), we get a palindrome (40804040804).
40804000000 divided by its reverse (40804) gives a 6-th power (1000000 = 106).
The spelling of 40804000000 in words is "forty billion, eight hundred four million", and thus it is an aban number.
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