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443242140444 = 2233101178722739
BaseRepresentation
bin1100111001100110100…
…10100101001100011100
31120101002022021201002000
412130303102211030130
524230224441443234
6535342253202300
744010645013215
oct6346322451434
91511068251060
10443242140444
11160a836a6554
1271aa0a90390
1332a4a2c52ac
141764b1a840c
15b7e2d54899
hex67334a531c

443242140444 has 96 divisors (see below), whose sum is σ = 1161224467200. Its totient is φ = 146196244800.

The previous prime is 443242140437. The next prime is 443242140487. The reversal of 443242140444 is 444041242344.

It is a happy number.

443242140444 is a `hidden beast` number, since 4 + 4 + 3 + 242 + 1 + 404 + 4 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 443242140399 and 443242140408.

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 31 ways as a sum of consecutive naturals, for example, 19481227 + ... + 19503965.

It is an arithmetic number, because the mean of its divisors is an integer number (12096088200).

Almost surely, 2443242140444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 443242140444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580612233600).

443242140444 is an abundant number, since it is smaller than the sum of its proper divisors (717982326756).

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

443242140444 is a wasteful number, since it uses less digits than its factorization.

443242140444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24640 (or 24632 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 443242140444 its reverse (444041242344), we get a palindrome (887283382788).

The spelling of 443242140444 in words is "four hundred forty-three billion, two hundred forty-two million, one hundred forty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 101 108 202 303 404 606 909 1212 1787 1818 2727 3574 3636 5361 5454 7148 10722 10908 16083 21444 22739 32166 45478 48249 64332 68217 90956 96498 136434 180487 192996 204651 272868 360974 409302 541461 613953 721948 818604 1082922 1227906 1624383 2165844 2296639 2455812 3248766 4593278 4873149 6497532 6889917 9186556 9746298 13779834 19492596 20669751 27559668 40634593 41339502 62009253 81269186 82679004 121903779 124018506 162538372 243807558 248037012 365711337 487615116 731422674 1097134011 1462845348 2194268022 4104093893 4388536044 8208187786 12312281679 16416375572 24624563358 36936845037 49249126716 73873690074 110810535111 147747380148 221621070222 443242140444