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813406440441 = 371721291070197
BaseRepresentation
bin10111101011000101100…
…11010100101111111001
32212202112200201110220210
423311202303110233321
5101311324022043231
61421401310541333
7112523653444140
oct13654263245771
92782480643823
10813406440441
11293a66803941
12111788207849
135b91c60627a
142b524a90757
151625a27aa46
hexbd62cd4bf9

813406440441 has 32 divisors (see below), whose sum is σ = 1313004522240. Its totient is φ = 437256400896.

The previous prime is 813406440401. The next prime is 813406440527. The reversal of 813406440441 is 144044604318.

It is not a de Polignac number, because 813406440441 - 214 = 813406424057 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 813406440441.

It is not an unprimeable number, because it can be changed into a prime (813406440401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224955 + ... + 1295151.

It is an arithmetic number, because the mean of its divisors is an integer number (41031391320).

Almost surely, 2813406440441 is an apocalyptic number.

It is an amenable number.

813406440441 is a deficient number, since it is larger than the sum of its proper divisors (499598081799).

813406440441 is a wasteful number, since it uses less digits than its factorization.

813406440441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072353.

The product of its (nonzero) digits is 147456, while the sum is 39.

The spelling of 813406440441 in words is "eight hundred thirteen billion, four hundred six million, four hundred forty thousand, four hundred forty-one".

Divisors: 1 3 7 17 21 51 119 357 2129 6387 14903 36193 44709 108579 253351 760053 1070197 3210591 7491379 18193349 22474137 54580047 127353443 382060329 2278449413 6835348239 15949145891 38733640021 47847437673 116200920063 271135480147 813406440441