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321441422142031 = 41149223281839693
BaseRepresentation
bin100100100010110010110100…
…1110010000110101001001111
31120011010111111101110201121021
41021011211221302012221033
5314112444013032021111
63055352052321215011
7124464243044535352
oct11105455162065117
91504114441421537
10321441422142031
119346a5a5925184
1230075601a91467
1310a48a46ba6b19
145953bc26a4299
152726668106d71
hex1245969c86a4f

321441422142031 has 32 divisors (see below), whose sum is σ = 334163280729600. Its totient is φ = 308995907942400.

The previous prime is 321441422142019. The next prime is 321441422142041. The reversal of 321441422142031 is 130241224144123.

It is a cyclic number.

It is not a de Polignac number, because 321441422142031 - 229 = 321440885271119 is a prime.

It is a super-4 number, since 4×3214414221420314 (a number of 59 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321441422142041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 382388421 + ... + 383228113.

It is an arithmetic number, because the mean of its divisors is an integer number (10442602522800).

Almost surely, 2321441422142031 is an apocalyptic number.

321441422142031 is a deficient number, since it is larger than the sum of its proper divisors (12721858587569).

321441422142031 is a wasteful number, since it uses less digits than its factorization.

321441422142031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840387.

The product of its (nonzero) digits is 36864, while the sum is 34.

Adding to 321441422142031 its reverse (130241224144123), we get a palindrome (451682646286154).

The spelling of 321441422142031 in words is "three hundred twenty-one trillion, four hundred forty-one billion, four hundred twenty-two million, one hundred forty-two thousand, thirty-one".

Divisors: 1 41 149 223 281 6109 9143 11521 33227 41869 62663 839693 1362307 1716629 2569183 9336787 34427413 125114257 187251539 235953733 382808267 5129684537 7677313099 9674103053 27900479311 35157106217 52617682459 1143919651751 1441441354897 2157324980819 7840034686391 321441422142031