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404400844404 = 22335779164793
BaseRepresentation
bin1011110001010000010…
…10110010111001110100
31102122211101112102121000
411320220022302321310
523111203104010104
6505440145323300
741134300314114
oct5705012627164
91378741472530
10404400844404
11146561808997
1266461036530
132c19a30879b
141580485b044
15a7bce4c639
hex5e282b2e74

404400844404 has 48 divisors (see below), whose sum is σ = 1048480957440. Its totient is φ = 134795868480.

The previous prime is 404400844391. The next prime is 404400844469. The reversal of 404400844404 is 404448004404.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6209032 + ... + 6273824.

It is an arithmetic number, because the mean of its divisors is an integer number (21843353280).

Almost surely, 2404400844404 is an apocalyptic number.

It is an amenable number.

404400844404 is an abundant number, since it is smaller than the sum of its proper divisors (644080113036).

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

404400844404 is a wasteful number, since it uses less digits than its factorization.

404400844404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122597 (or 122589 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

Adding to 404400844404 its reverse (404448004404), we get a palindrome (808848848808).

The spelling of 404400844404 in words is "four hundred four billion, four hundred million, eight hundred forty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 57791 64793 115582 129586 173373 194379 231164 259172 346746 388758 520119 583137 693492 777516 1040238 1166274 1560357 1749411 2080476 2332548 3120714 3498822 6241428 6997644 3744452263 7488904526 11233356789 14977809052 22466713578 33700070367 44933427156 67400140734 101100211101 134800281468 202200422202 404400844404