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330431222413041 = 34713180922112719
BaseRepresentation
bin100101100100001101000001…
…1101000100111011011110001
31121022221220202000200122011020
41023020122003220213123301
5321302241120414204131
63130434001420210053
7126412603504203501
oct11310320350473361
91538856660618136
10330431222413041
1196316104800a12
123108794b999929
131124b6b88884c9
145b84d568b5a01
15283041b121996
hex12c8683a276f1

330431222413041 has 32 divisors (see below), whose sum is σ = 453944068300800. Its totient is φ = 213690230682240.

The previous prime is 330431222412979. The next prime is 330431222413067. The reversal of 330431222413041 is 140314222134033.

It is not a de Polignac number, because 330431222413041 - 214 = 330431222396657 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 330431222412993 and 330431222413011.

It is not an unprimeable number, because it can be changed into a prime (330431222413081) 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, 3886680 + ... + 25999398.

It is an arithmetic number, because the mean of its divisors is an integer number (14185752134400).

Almost surely, 2330431222413041 is an apocalyptic number.

It is an amenable number.

330431222413041 is a deficient number, since it is larger than the sum of its proper divisors (123512845887759).

330431222413041 is a wasteful number, since it uses less digits than its factorization.

330431222413041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22113709.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 330431222413041 its reverse (140314222134033), we get a palindrome (470745444547074).

The spelling of 330431222413041 in words is "three hundred thirty trillion, four hundred thirty-one billion, two hundred twenty-two million, four hundred thirteen thousand, forty-one".

Divisors: 1 3 47 131 141 393 809 2427 6157 18471 38023 105979 114069 317937 4981013 14943039 22112719 66338157 1039297793 2896766189 3117893379 8690298567 17889189671 53667569013 136148010883 408444032649 840791914537 2343483846901 2522375743611 7030451540703 110143740804347 330431222413041