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20434404040 = 235613833377
BaseRepresentation
bin10011000001111111…
…000100001011001000
31221202002221021120021
4103001333010023020
5313322201412130
613215404110224
71322245365661
oct230177041310
957662837507
1020434404040
118736763226
123b63535374
131c086a394b
14dbbc84368
157e8e7837a
hex4c1fc42c8

20434404040 has 32 divisors (see below), whose sum is σ = 46052468280. Its totient is φ = 8160417792.

The previous prime is 20434404017. The next prime is 20434404043. The reversal of 20434404040 is 4040443402.

It can be written as a sum of positive squares in 4 ways, for example, as 5003298756 + 15431105284 = 70734^2 + 124222^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20434403996 and 20434404014.

It is not an unprimeable number, because it can be changed into a prime (20434404043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 392169 + ... + 441208.

Almost surely, 220434404040 is an apocalyptic number.

20434404040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20434404040 is an abundant number, since it is smaller than the sum of its proper divisors (25618064240).

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

20434404040 is a wasteful number, since it uses less digits than its factorization.

20434404040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834001 (or 833997 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

Adding to 20434404040 its reverse (4040443402), we get a palindrome (24474847442).

The spelling of 20434404040 in words is "twenty billion, four hundred thirty-four million, four hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 613 1226 2452 3065 4904 6130 12260 24520 833377 1666754 3333508 4166885 6667016 8333770 16667540 33335080 510860101 1021720202 2043440404 2554300505 4086880808 5108601010 10217202020 20434404040