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4004440040 = 235100111001
BaseRepresentation
bin1110111010101110…
…1110011111101000
3101100002001122001002
43232223232133220
531200114040130
61501205014132
7201143115206
oct35653563750
911302048032
104004440040
111775447087
129390b4348
134ba817663
1429db8c076
15186850b45
hexeeaee7e8

4004440040 has 16 divisors (see below), whose sum is σ = 9009990180. Its totient is φ = 1601776000.

The previous prime is 4004440009. The next prime is 4004440087. The reversal of 4004440040 is 400444004.

It can be written as a sum of positive squares in 2 ways, for example, as 3854671396 + 149768644 = 62086^2 + 12238^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4004439994 and 4004440021.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50055461 + ... + 50055540.

Almost surely, 24004440040 is an apocalyptic number.

4004440040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004440040 is an abundant number, since it is smaller than the sum of its proper divisors (5005550140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4004440040 is a wasteful number, since it uses less digits than its factorization.

4004440040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100111012 (or 100111008 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 4004440040 is about 63280.6450662444. The cubic root of 4004440040 is about 1587.9881784636.

4004440040 divided by its sum of digits (20) gives a palindrome (200222002).

Adding to 4004440040 its reverse (400444004), we get a palindrome (4404884044).

The spelling of 4004440040 in words is "four billion, four million, four hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 100111001 200222002 400444004 500555005 800888008 1001110010 2002220020 4004440040