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404204042441012 = 221126737358756929
BaseRepresentation
bin101101111100111110001011…
…0010111011101000100110100
31222000011112021200210210010212
41123321330112113131010310
5410434434334331103022
63551400435034404552
7151065530660031662
oct13371742627350464
91860145250723125
10404204042441012
11107878a76420200
123940154bb90758
131447037bcc6988
1471b58198a9c32
1531ae41c3b83e2
hex16f9f165dd134

404204042441012 has 144 divisors (see below), whose sum is σ = 792590213849280. Its totient is φ = 180191001323520.

The previous prime is 404204042440969. The next prime is 404204042441027. The reversal of 404204042441012 is 210144240402404.

It is a self number, because there is not a number n which added to its sum of digits gives 404204042441012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7100114564 + ... + 7100171492.

Almost surely, 2404204042441012 is an apocalyptic number.

It is an amenable number.

404204042441012 is a deficient number, since it is larger than the sum of its proper divisors (388386171408268).

404204042441012 is a wasteful number, since it uses less digits than its factorization.

404204042441012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57982 (or 57969 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

Adding to 404204042441012 its reverse (210144240402404), we get a palindrome (614348282843416).

The spelling of 404204042441012 in words is "four hundred four trillion, two hundred four billion, forty-two million, four hundred forty-one thousand, twelve".

Divisors: 1 2 4 11 22 44 67 121 134 242 268 373 484 587 737 746 1174 1474 1492 2348 2948 4103 6457 8107 8206 12914 16214 16412 24991 25828 32428 39329 45133 49982 56929 71027 78658 90266 99964 113858 142054 157316 180532 218951 227716 274901 284108 432619 437902 549802 626219 865238 875804 1099604 1252438 1730476 2408461 2504876 3023911 3814243 4758809 4816922 6047822 6888409 7628486 9517618 9633844 12095644 13776818 14669717 15256972 19035236 21234517 26493071 27553636 29339434 33417323 41956673 42469034 52986142 58678868 66834646 83913346 84938068 105972284 133669292 161366887 167826692 233579687 322733774 367590553 461523403 467159374 645467548 735181106 923046806 934318748 1422712639 1470362212 1775035757 1846093612 2238960641 2569376557 2845425278 3550071514 4043496083 4477921282 5138753114 5690850556 7100143028 8086992166 8955842564 10277506228 12464661479 15649839029 16173984332 24628567051 24929322958 31299678058 49257134102 49858645916 62599356116 98514268204 137111276269 172148229319 270914237561 274222552538 344296458638 541828475122 548445105076 688592917276 835132319093 1083656950244 1508224038959 1670264638186 3016448077918 3340529276372 6032896155836 9186455510023 18372911020046 36745822040092 101051010610253 202102021220506 404204042441012