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20444020040 = 2351015060401
BaseRepresentation
bin10011000010100011…
…101111110101001000
31221202210000211020102
4103002203233311020
5313332132120130
613220350144532
71322423205653
oct230243576510
957683024212
1020444020040
118741130934
123b667b2148
131c0a68c7a2
14dbd26889a
157e9c27645
hex4c28efd48

20444020040 has 32 divisors (see below), whose sum is σ = 46454490360. Its totient is φ = 8096640000.

The previous prime is 20444020033. The next prime is 20444020081. The reversal of 20444020040 is 4002044402.

It can be written as a sum of positive squares in 4 ways, for example, as 16572442756 + 3871577284 = 128734^2 + 62222^2 .

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 = 20444019994 and 20444020021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2526161 + ... + 2534240.

Almost surely, 220444020040 is an apocalyptic number.

20444020040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20444020040 is an abundant number, since it is smaller than the sum of its proper divisors (26010470320).

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

20444020040 is a wasteful number, since it uses less digits than its factorization.

20444020040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5060513 (or 5060509 counting only the distinct ones).

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

Adding to 20444020040 its reverse (4002044402), we get a palindrome (24446064442).

The spelling of 20444020040 in words is "twenty billion, four hundred forty-four million, twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 808 1010 2020 4040 5060401 10120802 20241604 25302005 40483208 50604010 101208020 202416040 511100501 1022201002 2044402004 2555502505 4088804008 5111005010 10222010020 20444020040