Search a number
-
+
43441130000 = 245429163919
BaseRepresentation
bin101000011101010010…
…110000101000010000
311011010111011001102202
4220131102300220100
51202431412130000
631542342102332
73065340340532
oct503522605020
9134114131382
1043441130000
1117472426a34
12850441a9a8
134133c79368
142161603852
1511e3b65dd5
hexa1d4b0a10

43441130000 has 200 divisors, whose sum is σ = 109588670400. Its totient is φ = 16656192000.

The previous prime is 43441129987. The next prime is 43441130003. The reversal of 43441130000 is 3114434.

It is a happy number.

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 (20).

It is not an unprimeable number, because it can be changed into a prime (43441130003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 47269541 + ... + 47270459.

It is an arithmetic number, because the mean of its divisors is an integer number (547943352).

Almost surely, 243441130000 is an apocalyptic number.

43441130000 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 43441130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54794335200).

43441130000 is an abundant number, since it is smaller than the sum of its proper divisors (66147540400).

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

43441130000 is a wasteful number, since it uses less digits than its factorization.

43441130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 43441130000 its reverse (3114434), we get a palindrome (43444244434).

The spelling of 43441130000 in words is "forty-three billion, four hundred forty-one million, one hundred thirty thousand".