Search a number
-
+
443402401200440 = 235112452094109689
BaseRepresentation
bin110010011010001011010101…
…0100111011011100100111000
32011010221212002201022101122212
41210310112222213123210320
5431104201104201403230
64211012130121034252
7162252523565020523
oct14464265247334470
92133855081271585
10443402401200440
111193109a2001210
1241892433025988
131605488959c8b6
147b6cb0da71bba
15363dda9b99895
hex19345aa9db938

443402401200440 has 64 divisors (see below), whose sum is σ = 1088356051692000. Its totient is φ = 161236540016640.

The previous prime is 443402401200439. The next prime is 443402401200509. The reversal of 443402401200440 is 44002104204344.

It is a junction number, because it is equal to n+sod(n) for n = 443402401200397 and 443402401200406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105837116 + ... + 109946804.

Almost surely, 2443402401200440 is an apocalyptic number.

443402401200440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

443402401200440 is an abundant number, since it is smaller than the sum of its proper divisors (644953650491560).

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

443402401200440 is a wasteful number, since it uses less digits than its factorization.

443402401200440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4354920 (or 4354916 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 443402401200440 its reverse (44002104204344), we get a palindrome (487404505404784).

The spelling of 443402401200440 in words is "four hundred forty-three trillion, four hundred two billion, four hundred one million, two hundred thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 245209 490418 980836 1226045 1961672 2452090 2697299 4109689 4904180 5394598 8219378 9808360 10789196 13486495 16438756 20548445 21578392 26972990 32877512 41096890 45206579 53945980 82193780 90413158 107891960 164387560 180826316 226032895 361652632 452065790 904131580 1808263160 1007732730001 2015465460002 4030930920004 5038663650005 8061861840008 10077327300010 11085060030011 20154654600020 22170120060022 40309309200040 44340240120044 55425300150055 88680480240088 110850600300110 221701200600220 443402401200440