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404584303149 = 321322691524013
BaseRepresentation
bin1011110001100110001…
…10101000101000101101
31102200022011202002200100
411320303012220220231
523112042040200044
6505510301421313
741141655556215
oct5706306505055
91380264662610
10404584303149
11146646323194
12664b256a839
132c1c9320a60
1415820d75245
15a7ce0da869
hex5e331a8a2d

404584303149 has 24 divisors (see below), whose sum is σ = 629631143960. Its totient is φ = 248865063552.

The previous prime is 404584303121. The next prime is 404584303159. The reversal of 404584303149 is 941303485404.

404584303149 is a `hidden beast` number, since 4 + 0 + 4 + 584 + 30 + 31 + 4 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1194186249 + 403390116900 = 34557^2 + 635130^2 .

It is not a de Polignac number, because 404584303149 - 215 = 404584270381 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404584303159) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 496534 + ... + 1027479.

Almost surely, 2404584303149 is an apocalyptic number.

It is an amenable number.

404584303149 is a deficient number, since it is larger than the sum of its proper divisors (225046840811).

404584303149 is a wasteful number, since it uses less digits than its factorization.

404584303149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526301 (or 1526298 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 404584303149 in words is "four hundred four billion, five hundred eighty-four million, three hundred three thousand, one hundred forty-nine".

Divisors: 1 3 9 13 39 117 2269 6807 20421 29497 88491 265473 1524013 4572039 13716117 19812169 59436507 178309521 3457985497 10373956491 31121869473 44953811461 134861434383 404584303149