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4440040040 = 235111001001
BaseRepresentation
bin1000010001010010…
…11010001001101000
3102110102201101220102
410020221122021220
533043122240130
62012325244532
7215012501102
oct41051321150
912412641812
104440040040
111979317887
12a3ab63748
13559b41b37
1430197c572
151aebe7645
hex108a5a268

4440040040 has 16 divisors (see below), whose sum is σ = 9990090180. Its totient is φ = 1776016000.

The previous prime is 4440040021. The next prime is 4440040049. The reversal of 4440040040 is 400400444.

It can be written as a sum of positive squares in 2 ways, for example, as 4168251844 + 271788196 = 64562^2 + 16486^2 .

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

4440040040 is a modest number, since divided by 40040 gives 4440 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 4440039994 and 4440040021.

It is not an unprimeable number, because it can be changed into a prime (4440040049) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 55500461 + ... + 55500540.

Almost surely, 24440040040 is an apocalyptic number.

4440040040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4440040040 is an abundant number, since it is smaller than the sum of its proper divisors (5550050140).

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

4440040040 is a wasteful number, since it uses less digits than its factorization.

4440040040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111001012 (or 111001008 counting only the distinct ones).

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

The square root of 4440040040 is about 66633.6254454161. The cubic root of 4440040040 is about 1643.5980936115.

Adding to 4440040040 its reverse (400400444), we get a palindrome (4840440484).

It can be divided in two parts, 4 and 440040040, that added together give a palindrome (440040044).

The spelling of 4440040040 in words is "four billion, four hundred forty million, forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 111001001 222002002 444004004 555005005 888008008 1110010010 2220020020 4440040040