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4440404040040 = 235111010101001
BaseRepresentation
bin100000010011101110010…
…1101001001100101101000
3120201111110101120222011101
41000213130231021211220
51040222421413240130
613235520553011144
7635544231404203
oct100473455114550
916644411528141
104440404040040
11146218a3572a1
125b86b63b3ab4
13262961113777
14114cb960693a
157a789a9b1ca
hex409dcb49968

4440404040040 has 16 divisors (see below), whose sum is σ = 9990909090180. Its totient is φ = 1776161616000.

The previous prime is 4440404039993. The next prime is 4440404040043. The reversal of 4440404040040 is 400404040444.

It can be written as a sum of positive squares in 2 ways, for example, as 4239884573604 + 200519466436 = 2059098^2 + 447794^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4440404039990 and 4440404040008.

It is not an unprimeable number, because it can be changed into a prime (4440404040043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 55505050461 + ... + 55505050540.

Almost surely, 24440404040040 is an apocalyptic number.

4440404040040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4440404040040 is an abundant number, since it is smaller than the sum of its proper divisors (5550505050140).

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

4440404040040 is a wasteful number, since it uses less digits than its factorization.

4440404040040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111010101012 (or 111010101008 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 4440404040040 its reverse (400404040444), we get a palindrome (4840808080484).

The spelling of 4440404040040 in words is "four trillion, four hundred forty billion, four hundred four million, forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 111010101001 222020202002 444040404004 555050505005 888080808008 1110101010010 2220202020020 4440404040040