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20032444304001 = 3211319697585353
BaseRepresentation
bin1001000111000001010101…
…01110100000101010000001
32121221002020111010220202200
410203200222232200222001
510111202421220212001
6110334440004103413
74135203434036313
oct443405256405201
977832214126680
1020032444304001
116423791623918
1222b6509094b69
13b24088ba735c
144d380b1797b3
1524b153388086
hex12382aba0a81

20032444304001 has 12 divisors (see below), whose sum is σ = 29191821494628. Its totient is φ = 13236777356544.

The previous prime is 20032444303999. The next prime is 20032444304003. The reversal of 20032444304001 is 10040344423002.

It is a happy number.

20032444304001 is a `hidden beast` number, since 200 + 3 + 24 + 4 + 4 + 30 + 400 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (20032444303999) and next prime (20032444304003).

It can be written as a sum of positive squares in 2 ways, for example, as 9442105985601 + 10590338318400 = 3072801^2 + 3254280^2 .

It is not a de Polignac number, because 20032444304001 - 21 = 20032444303999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20032444304003) 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 11 ways as a sum of consecutive naturals, for example, 9848791660 + ... + 9848793693.

It is an arithmetic number, because the mean of its divisors is an integer number (2432651791219).

Almost surely, 220032444304001 is an apocalyptic number.

It is an amenable number.

20032444304001 is a deficient number, since it is larger than the sum of its proper divisors (9159377190627).

20032444304001 is a wasteful number, since it uses less digits than its factorization.

20032444304001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19697585472 (or 19697585469 counting only the distinct ones).

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

Adding to 20032444304001 its reverse (10040344423002), we get a palindrome (30072788727003).

The spelling of 20032444304001 in words is "twenty trillion, thirty-two billion, four hundred forty-four million, three hundred four thousand, one".

Divisors: 1 3 9 113 339 1017 19697585353 59092756059 177278268177 2225827144889 6677481434667 20032444304001