Search a number
-
+
43042350240 = 2534559181311
BaseRepresentation
bin101000000101100001…
…100010010010100000
311010002200202221110000
4220011201202102200
51201122320201430
631435014540000
73052425640401
oct500541422240
9133080687400
1043042350240
111728831488a
128412967600
13409c4742c6
1421246799a8
1511bdb43e60
hexa058624a0

43042350240 has 480 divisors, whose sum is σ = 155831195520. Its totient is φ = 11184998400.

The previous prime is 43042350209. The next prime is 43042350251. The reversal of 43042350240 is 4205324034.

43042350240 is a `hidden beast` number, since 4 + 30 + 42 + 350 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 79 ways as a sum of consecutive naturals, for example, 138399685 + ... + 138399995.

It is an arithmetic number, because the mean of its divisors is an integer number (324648324).

Almost surely, 243042350240 is an apocalyptic number.

43042350240 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 43042350240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77915597760).

43042350240 is an abundant number, since it is smaller than the sum of its proper divisors (112788845280).

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

43042350240 is a wasteful number, since it uses less digits than its factorization.

43042350240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 43042350240 its reverse (4205324034), we get a palindrome (47247674274).

The spelling of 43042350240 in words is "forty-three billion, forty-two million, three hundred fifty thousand, two hundred forty".