Search a number
-
+
43946000000 = 275674373
BaseRepresentation
bin101000111011011000…
…101011111010000000
311012102200011002212122
4220323120223322000
51210000134000000
632104415143412
73114010556660
oct507330537200
9135380132778
1043946000000
111770140a271
128625514b68
1341b4747cc6
1421ac6a61a0
151223142085
hexa3b62be80

43946000000 has 448 divisors, whose sum is σ = 129729589440. Its totient is φ = 14515200000.

The previous prime is 43945999967. The next prime is 43946000027. The reversal of 43946000000 is 64934.

It is a tau number, because it is divible by the number of its divisors (448).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 43946000000 = 15803 + 34203 = 27503 + 28503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 601999964 + ... + 602000036.

Almost surely, 243946000000 is an apocalyptic number.

43946000000 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 43946000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64864794720).

43946000000 is an abundant number, since it is smaller than the sum of its proper divisors (85783589440).

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

43946000000 is an frugal number, since it uses more digits than its factorization.

43946000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 43946000000 its reverse (64934), we get a palindrome (43946064934).

The spelling of 43946000000 in words is "forty-three billion, nine hundred forty-six million", and thus it is an aban number.