Search a number
-
+
43355023920 = 243251323201389
BaseRepresentation
bin101000011000001010…
…010010101000110000
311010220111010102002200
4220120022102220300
51202242341231140
631530024343200
73063243423435
oct503012225060
9133814112080
1043355023920
111742886518a
12849b614b00
13411c18b910
142153dcbb8c
1511db308030
hexa18292a30

43355023920 has 240 divisors, whose sum is σ = 163618902720. Its totient is φ = 10207954944.

The previous prime is 43355023861. The next prime is 43355023931. The reversal of 43355023920 is 2932055334.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114586 + ... + 315974.

It is an arithmetic number, because the mean of its divisors is an integer number (681745428).

Almost surely, 243355023920 is an apocalyptic number.

43355023920 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 43355023920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81809451360).

43355023920 is an abundant number, since it is smaller than the sum of its proper divisors (120263878800).

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

43355023920 is a wasteful number, since it uses less digits than its factorization.

43355023920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201444 (or 201435 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The spelling of 43355023920 in words is "forty-three billion, three hundred fifty-five million, twenty-three thousand, nine hundred twenty".