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404205141 = 31710517541
BaseRepresentation
bin11000000101111…
…010111001010101
31001011120202012210
4120011322321111
51311434031031
6104035304033
713005454434
oct3005727125
91034522183
10404205141
1119818833a
12b344b019
1365984652
143b97b11b
1525744746
hex1817ae55

404205141 has 16 divisors (see below), whose sum is σ = 571261248. Its totient is φ = 253344000.

The previous prime is 404205133. The next prime is 404205157. The reversal of 404205141 is 141502404.

It is a happy number.

It is not a de Polignac number, because 404205141 - 23 = 404205133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404205541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49831 + ... + 57371.

It is an arithmetic number, because the mean of its divisors is an integer number (35703828).

Almost surely, 2404205141 is an apocalyptic number.

It is an amenable number.

404205141 is a deficient number, since it is larger than the sum of its proper divisors (167056107).

404205141 is a wasteful number, since it uses less digits than its factorization.

404205141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8612.

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 404205141 is about 20104.8536677092. The cubic root of 404205141 is about 739.3792828682.

Adding to 404205141 its reverse (141502404), we get a palindrome (545707545).

The spelling of 404205141 in words is "four hundred four million, two hundred five thousand, one hundred forty-one".

Divisors: 1 3 17 51 1051 3153 7541 17867 22623 53601 128197 384591 7925591 23776773 134735047 404205141