Search a number
-
+
443044005404031 = 321011721352980251
BaseRepresentation
bin110010010111100100011100…
…0100011111101110101111111
32011002200121000111101112210100
41210233020320203331311333
5431032313110340412111
64210135334543212143
7162214605320015643
oct14457107043756577
92132617014345710
10443044005404031
111191929a8a0a849
1241834a90ba7053
1316029b4148c005
147b59631146c23
1536348d0a17756
hex192f2388fdd7f

443044005404031 has 48 divisors (see below), whose sum is σ = 646855449196320. Its totient is φ = 292181904000000.

The previous prime is 443044005404009. The next prime is 443044005404041. The reversal of 443044005404031 is 130404500440344.

443044005404031 is a `hidden beast` number, since 4 + 4 + 3 + 0 + 4 + 40 + 0 + 540 + 40 + 31 = 666.

It is not a de Polignac number, because 443044005404031 - 227 = 443043871186303 is a prime.

It is a super-4 number, since 4×4430440054040314 (a number of 60 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (443044005404041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5520688656 + ... + 5520768906.

It is an arithmetic number, because the mean of its divisors is an integer number (13476155191590).

Almost surely, 2443044005404031 is an apocalyptic number.

443044005404031 is a deficient number, since it is larger than the sum of its proper divisors (203811443792289).

443044005404031 is a wasteful number, since it uses less digits than its factorization.

443044005404031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85608 (or 85605 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 443044005404031 its reverse (130404500440344), we get a palindrome (573448505844375).

The spelling of 443044005404031 in words is "four hundred forty-three trillion, forty-four billion, five million, four hundred four thousand, thirty-one".

Divisors: 1 3 9 101 303 909 1721 3529 5163 10587 15489 31761 80251 173821 240753 356429 521463 722259 1069287 1564389 3207861 6073409 8105351 18220227 24316053 54660681 72948159 138111971 283205779 414335913 613414309 849617337 1243007739 1840242927 2548852011 5520728781 13949309071 28603783679 41847927213 85811351037 125543781639 257434053111 487397145659 1462191436977 4386574310931 49227111711559 147681335134677 443044005404031