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413020020314 = 211192934071937
BaseRepresentation
bin1100000001010011110…
…10010101111001011010
31110111002002000221011102
412000221322111321122
523231331111122224
6513423324231402
741561010150626
oct6005172257132
91414062027142
10413020020314
1114a185041370
126806769b562
132cc41bcc785
1415dc1460186
15ab249a24ae
hex6029e95e5a

413020020314 has 32 divisors (see below), whose sum is σ = 735953860800. Its totient is φ = 171722557440.

The previous prime is 413020020277. The next prime is 413020020341.

413020020314 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17023847 + ... + 17048090.

It is an arithmetic number, because the mean of its divisors is an integer number (22998558150).

Almost surely, 2413020020314 is an apocalyptic number.

413020020314 is a deficient number, since it is larger than the sum of its proper divisors (322933840486).

413020020314 is a wasteful number, since it uses less digits than its factorization.

413020020314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34071998.

The product of its (nonzero) digits is 576, while the sum is 20.

It can be divided in two parts, 4130200 and 20314, that added together give a palindrome (4150514).

The spelling of 413020020314 in words is "four hundred thirteen billion, twenty million, twenty thousand, three hundred fourteen".

Divisors: 1 2 11 19 22 29 38 58 209 319 418 551 638 1102 6061 12122 34071937 68143874 374791307 647366803 749582614 988086173 1294733606 1976172346 7121034833 10868947903 14242069666 18773637287 21737895806 37547274574 206510010157 413020020314