Search a number
-
+
4421141440000 = 295435339139
BaseRepresentation
bin100000001010110000010…
…0100001010011000000000
3120122122201221121111111021
41000111200210022120000
51034413444202040000
613223013324355224
7634263002120335
oct100254044123000
916578657544437
104421141440000
111454aa50a182a
125b4a1b3a5b14
13260bb144148c
14113dad23298c
157a00d93e11a
hex4056090a600

4421141440000 has 200 divisors, whose sum is σ = 11070079784280. Its totient is φ = 1763401728000.

The previous prime is 4421141439983. The next prime is 4421141440049. The reversal of 4421141440000 is 441411244.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 112940431 + ... + 112979569.

Almost surely, 24421141440000 is an apocalyptic number.

4421141440000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4421141440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5535039892140).

4421141440000 is an abundant number, since it is smaller than the sum of its proper divisors (6648938344280).

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

4421141440000 is an frugal number, since it uses more digits than its factorization.

4421141440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39530 (or 39499 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 4421141440000 its reverse (441411244), we get a palindrome (4421582851244).

The spelling of 4421141440000 in words is "four trillion, four hundred twenty-one billion, one hundred forty-one million, four hundred forty thousand".