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20444423031 = 335297142949
BaseRepresentation
bin10011000010100101…
…010010001101110111
31221202210210022001000
4103002211102031313
5313332233014111
613220402534343
71322426504604
oct230245221567
957683708030
1020444423031
11874138668a
123b669673b3
131c0a7a1046
14dbd3316ab
157e9ca6c56
hex4c2952377

20444423031 has 16 divisors (see below), whose sum is σ = 30293964000. Its totient is φ = 13626946944.

The previous prime is 20444423017. The next prime is 20444423033. The reversal of 20444423031 is 13032444402.

It is a happy number.

20444423031 is a `hidden beast` number, since 204 + 4 + 4 + 423 + 0 + 31 = 666.

It is not a de Polignac number, because 20444423031 - 218 = 20444160887 is a prime.

It is a super-2 number, since 2×204444230312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20444422986 and 20444423004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20444423033) 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, 71545 + ... + 214493.

It is an arithmetic number, because the mean of its divisors is an integer number (1893372750).

Almost surely, 220444423031 is an apocalyptic number.

20444423031 is a deficient number, since it is larger than the sum of its proper divisors (9849540969).

20444423031 is a wasteful number, since it uses less digits than its factorization.

20444423031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148255 (or 148249 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 20444423031 its reverse (13032444402), we get a palindrome (33476867433).

It can be divided in two parts, 204444 and 23031, that added together give a triangular number (227475 = T674).

The spelling of 20444423031 in words is "twenty billion, four hundred forty-four million, four hundred twenty-three thousand, thirty-one".

Divisors: 1 3 9 27 5297 15891 47673 142949 143019 428847 1286541 3859623 757200853 2271602559 6814807677 20444423031