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404444031104442 = 237220111948335111
BaseRepresentation
bin101101111110101101111011…
…0110011100011010110111010
31222001000110201220211001021210
41123331123312303203112322
5411002402333430320232
63552103004540343550
7151122055060022400
oct13375336663432672
91861013656731253
10404444031104442
111079608287a707a
123943bb67844bb6
1314489ba6c29374
1471c32a4847470
1531b57b63355cc
hex16fd6f6ce35ba

404444031104442 has 96 divisors (see below), whose sum is σ = 941494455627264. Its totient is φ = 115488758296800.

The previous prime is 404444031104363. The next prime is 404444031104521. The reversal of 404444031104442 is 244401130444404.

It is an interprime number because it is at equal distance from previous prime (404444031104363) and next prime (404444031104521).

It is a self number, because there is not a number n which added to its sum of digits gives 404444031104442.

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, 11518994467 + ... + 11519029577.

It is an arithmetic number, because the mean of its divisors is an integer number (9807233912784).

Almost surely, 2404444031104442 is an apocalyptic number.

404444031104442 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

404444031104442 is an abundant number, since it is smaller than the sum of its proper divisors (537050424522822).

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

404444031104442 is a wasteful number, since it uses less digits than its factorization.

404444031104442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56624 (or 56617 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 39.

Adding to 404444031104442 its reverse (244401130444404), we get a palindrome (648845161548846).

The spelling of 404444031104442 in words is "four hundred four trillion, four hundred forty-four billion, thirty-one million, one hundred four thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 2011 4022 6033 12066 14077 19483 28154 35111 38966 42231 58449 70222 84462 98539 105333 116898 136381 197078 210666 245777 272762 295617 409143 491554 591234 737331 818286 954667 1474662 1720439 1909334 2864001 3440878 5161317 5728002 10322634 39180313 70608221 78360626 117540939 141216442 211824663 235081878 274262191 423649326 494257547 548524382 684067613 822786573 988515094 1368135226 1482772641 1645573146 1919835337 2052202839 2965545282 3459802829 3839670674 4104405678 4788473291 5759506011 6919605658 9576946582 10379408487 11519012022 14365419873 20758816974 28730839746 33519313037 67038626074 100557939111 201115878222 1375659969743 2751319939486 4126979909229 8253959818458 9629619788201 19259239576402 28888859364603 57777718729206 67407338517407 134814677034814 202222015552221 404444031104442