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413303142413 = 7295979436811
BaseRepresentation
bin1100000001110101100…
…10010111100000001101
31110111210210210000200002
412000322302113200031
523232421101024123
6513511400414045
741601015513530
oct6007262274015
91414723700602
10413303142413
1114a30a938177
1268126477325
132cc8876b245
141600acbca17
15ab3e77a528
hex603ac9780d

413303142413 has 32 divisors (see below), whose sum is σ = 503207424000. Its totient is φ = 331989577920.

The previous prime is 413303142397. The next prime is 413303142451. The reversal of 413303142413 is 314241303314.

It is a happy number.

It is not a de Polignac number, because 413303142413 - 24 = 413303142397 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413303142493) 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 31 ways as a sum of consecutive naturals, for example, 727778 + ... + 1164588.

It is an arithmetic number, because the mean of its divisors is an integer number (15725232000).

Almost surely, 2413303142413 is an apocalyptic number.

It is an amenable number.

413303142413 is a deficient number, since it is larger than the sum of its proper divisors (89904281587).

413303142413 is a wasteful number, since it uses less digits than its factorization.

413303142413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436985.

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 413303142413 its reverse (314241303314), we get a palindrome (727544445727).

The spelling of 413303142413 in words is "four hundred thirteen billion, three hundred three million, one hundred forty-two thousand, four hundred thirteen".

Divisors: 1 7 29 59 79 203 413 553 1711 2291 4661 11977 16037 32627 135169 436811 946183 3057677 12667519 25771849 34508069 88672633 180402943 241556483 747383621 1000734001 2035976071 5231685347 7005138007 14251832497 59043306059 413303142413