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404144412 = 223739712119
BaseRepresentation
bin11000000101101…
…100000100011100
31001011110122220120
4120011230010130
51311430110122
6104034114540
713005112410
oct3005540434
91034418816
10404144412
11198146751
12b341ba50
1365962b09
143b962d40
152573175c
hex1816c11c

404144412 has 48 divisors (see below), whose sum is σ = 1080522240. Its totient is φ = 115169472.

The previous prime is 404144371. The next prime is 404144441. The reversal of 404144412 is 214441404.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27289 + ... + 39407.

It is an arithmetic number, because the mean of its divisors is an integer number (22510880).

Almost surely, 2404144412 is an apocalyptic number.

404144412 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

404144412 is an abundant number, since it is smaller than the sum of its proper divisors (676377828).

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

404144412 is a wasteful number, since it uses less digits than its factorization.

404144412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12530 (or 12528 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 404144412 is about 20103.3433040378. The cubic root of 404144412 is about 739.3422521555.

Adding to 404144412 its reverse (214441404), we get a palindrome (618585816).

The spelling of 404144412 in words is "four hundred four million, one hundred forty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 397 794 1191 1588 2382 2779 4764 5558 8337 11116 12119 16674 24238 33348 36357 48476 72714 84833 145428 169666 254499 339332 508998 1017996 4811243 9622486 14433729 19244972 28867458 33678701 57734916 67357402 101036103 134714804 202072206 404144412