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814412260341 = 32431209954179
BaseRepresentation
bin10111101100111101100…
…00001110001111110101
32212212010210100102102200
423312132300032033311
5101320404014312331
61422045201055113
7112560615664521
oct13663660161765
92785123312380
10814412260341
11294432542259
12111a09027499
135ba4cb00484
142b5bc4b4d81
15162b870b5e6
hexbd9ec0e3f5

814412260341 has 12 divisors (see below), whose sum is σ = 1179102674880. Its totient is φ = 541681779240.

The previous prime is 814412260313. The next prime is 814412260369. The reversal of 814412260341 is 143062214418.

814412260341 is a `hidden beast` number, since 8 + 1 + 4 + 4 + 1 + 2 + 2 + 603 + 41 = 666.

It is an interprime number because it is at equal distance from previous prime (814412260313) and next prime (814412260369).

It is not a de Polignac number, because 814412260341 - 213 = 814412252149 is a prime.

It is a super-2 number, since 2×8144122603412 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 814412260296 and 814412260305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814412260391) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104973211 + ... + 104980968.

It is an arithmetic number, because the mean of its divisors is an integer number (98258556240).

Almost surely, 2814412260341 is an apocalyptic number.

It is an amenable number.

814412260341 is a deficient number, since it is larger than the sum of its proper divisors (364690414539).

814412260341 is a wasteful number, since it uses less digits than its factorization.

814412260341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209954616 (or 209954613 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 814412260341 its reverse (143062214418), we get a palindrome (957474474759).

The spelling of 814412260341 in words is "eight hundred fourteen billion, four hundred twelve million, two hundred sixty thousand, three hundred forty-one".

Divisors: 1 3 9 431 1293 3879 209954179 629862537 1889587611 90490251149 271470753447 814412260341