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404014044 = 2237172312301
BaseRepresentation
bin11000000101001…
…100001111011100
31001011020001002010
4120011030033130
51311411422134
6104031231220
713004030340
oct3005141734
91034201063
10404014044
11198067805
12b3378510
1365918685
143b92b620
1525707ce9
hex1814c3dc

404014044 has 96 divisors (see below), whose sum is σ = 1190439936. Its totient is φ = 103910400.

The previous prime is 404014033. The next prime is 404014073. The reversal of 404014044 is 440410404.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 404014044.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26694 + ... + 38994.

It is an arithmetic number, because the mean of its divisors is an integer number (12400416).

Almost surely, 2404014044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404014044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595219968).

404014044 is an abundant number, since it is smaller than the sum of its proper divisors (786425892).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

404014044 is a wasteful number, since it uses less digits than its factorization.

404014044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12355 (or 12353 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 404014044 is about 20100.1005967632. The cubic root of 404014044 is about 739.2627451494.

Adding to 404014044 its reverse (440410404), we get a palindrome (844424448).

The spelling of 404014044 in words is "four hundred four million, fourteen thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 23 28 34 42 46 51 68 69 84 92 102 119 138 161 204 238 276 322 357 391 476 483 644 714 782 966 1173 1428 1564 1932 2346 2737 4692 5474 8211 10948 12301 16422 24602 32844 36903 49204 73806 86107 147612 172214 209117 258321 282923 344428 418234 516642 565846 627351 836468 848769 1033284 1131692 1254702 1463819 1697538 1980461 2509404 2927638 3395076 3960922 4391457 4809691 5855276 5941383 7921844 8782914 9619382 11882766 14429073 17565828 19238764 23765532 28858146 33667837 57716292 67335674 101003511 134671348 202007022 404014044