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404331013341 = 3244925668149
BaseRepresentation
bin1011110001001000000…
…00011010010011011101
31102122122112010122101100
411320210000122103131
523111032214411331
6505425212503313
741132461623033
oct5704400322335
91378575118340
10404331013341
11146526352872
126644177ab39
132c1889c8b28
14157d9480553
15a7b6c56ae6
hex5e2401a4dd

404331013341 has 6 divisors (see below), whose sum is σ = 584033685950. Its totient is φ = 269554008888.

The previous prime is 404331013337. The next prime is 404331013351. The reversal of 404331013341 is 143310133404.

404331013341 is a `hidden beast` number, since 4 + 0 + 4 + 3 + 310 + 1 + 3 + 341 = 666.

It can be written as a sum of positive squares in only one way, i.e., 399239477316 + 5091536025 = 631854^2 + 71355^2 .

It is not a de Polignac number, because 404331013341 - 22 = 404331013337 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404331013351) 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 5 ways as a sum of consecutive naturals, for example, 22462834066 + ... + 22462834083.

Almost surely, 2404331013341 is an apocalyptic number.

It is an amenable number.

404331013341 is a deficient number, since it is larger than the sum of its proper divisors (179702672609).

404331013341 is a wasteful number, since it uses less digits than its factorization.

404331013341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44925668155 (or 44925668152 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 404331013341 its reverse (143310133404), we get a palindrome (547641146745).

The spelling of 404331013341 in words is "four hundred four billion, three hundred thirty-one million, thirteen thousand, three hundred forty-one".

Divisors: 1 3 9 44925668149 134777004447 404331013341