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20424314440 = 235510607861
BaseRepresentation
bin10011000001011000…
…100100111001001000
31221201101221200020101
4103001120210321020
5313312111030230
613214403535144
71322063544145
oct230130447110
957641850211
1020424314440
118730aa1812
123b6008a4b4
131c0658037a
14dba7b93cc
157e8133aca
hex4c1624e48

20424314440 has 16 divisors (see below), whose sum is σ = 45954707580. Its totient is φ = 8169725760.

The previous prime is 20424314429. The next prime is 20424314441. The reversal of 20424314440 is 4441342402.

It can be written as a sum of positive squares in 2 ways, for example, as 18565152516 + 1859161924 = 136254^2 + 43118^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20424314399 and 20424314408.

It is not an unprimeable number, because it can be changed into a prime (20424314441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 255303891 + ... + 255303970.

Almost surely, 220424314440 is an apocalyptic number.

20424314440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20424314440 is an abundant number, since it is smaller than the sum of its proper divisors (25530393140).

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

20424314440 is a wasteful number, since it uses less digits than its factorization.

20424314440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510607872 (or 510607868 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 20424314440 its reverse (4441342402), we get a palindrome (24865656842).

The spelling of 20424314440 in words is "twenty billion, four hundred twenty-four million, three hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 510607861 1021215722 2042431444 2553039305 4084862888 5106078610 10212157220 20424314440