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443443140140 = 22571121310119937
BaseRepresentation
bin1100111001111110100…
…01010101011000101100
31120101121022111112211012
412130333101111120230
524231132420441030
6535414233244352
744015635333160
oct6347721253054
91511538445735
10443443140140
11161077101600
1271b382636b8
1332a7cb3c620
1417669b6aca0
15b80580a095
hex673f45562c

443443140140 has 288 divisors, whose sum is σ = 1272332783232. Its totient is φ = 126314496000.

The previous prime is 443443140089. The next prime is 443443140143. The reversal of 443443140140 is 41041344344.

It is a junction number, because it is equal to n+sod(n) for n = 443443140097 and 443443140106.

It is not an unprimeable number, because it can be changed into a prime (443443140143) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22232252 + ... + 22252188.

It is an arithmetic number, because the mean of its divisors is an integer number (4417822164).

Almost surely, 2443443140140 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 443443140140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636166391616).

443443140140 is an abundant number, since it is smaller than the sum of its proper divisors (828889643092).

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

443443140140 is a wasteful number, since it uses less digits than its factorization.

443443140140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20089 (or 20076 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 443443140140 its reverse (41041344344), we get a palindrome (484484484484).

The spelling of 443443140140 in words is "four hundred forty-three billion, four hundred forty-three million, one hundred forty thousand, one hundred forty".