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20434414020 = 2235379204691
BaseRepresentation
bin10011000001111111…
…000110100111000100
31221202002221210020220
4103001333012213010
5313322202222040
613215404224340
71322245440036
oct230177064704
957662853226
1020434414020
11873676a779
123b6353b0b0
131c086a8357
14dbbc87c56
157e8e7b2d0
hex4c1fc69c4

20434414020 has 48 divisors (see below), whose sum is σ = 58762753728. Its totient is φ = 5301901440.

The previous prime is 20434414019. The next prime is 20434414027. The reversal of 20434414020 is 2041443402.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20434414027) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4600126 + ... + 4604565.

It is an arithmetic number, because the mean of its divisors is an integer number (1224224036).

Almost surely, 220434414020 is an apocalyptic number.

20434414020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20434414020 is an abundant number, since it is smaller than the sum of its proper divisors (38328339708).

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

20434414020 is a wasteful number, since it uses less digits than its factorization.

20434414020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9204740 (or 9204738 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 20434414020 its reverse (2041443402), we get a palindrome (22475857422).

The spelling of 20434414020 in words is "twenty billion, four hundred thirty-four million, four hundred fourteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 9204691 18409382 27614073 36818764 46023455 55228146 92046910 110456292 138070365 184093820 276140730 340573567 552281460 681147134 1021720701 1362294268 1702867835 2043441402 3405735670 4086882804 5108603505 6811471340 10217207010 20434414020