Search a number
-
+
42289543296 = 2732721113331
BaseRepresentation
bin100111011000101001…
…110011100010000000
311001011020020101110100
4213120221303202000
51143102110341141
631232203402400
73024655121100
oct473051634200
9131136211410
1042289543296
1116a31387890
128242823400
133cac506000
1420926b7200
1511779e00b6
hex9d8a73880

42289543296 has 1152 divisors, whose sum is σ = 172689753600. Its totient is φ = 9812275200.

The previous prime is 42289543267. The next prime is 42289543297. The reversal of 42289543296 is 69234598224.

42289543296 is a `hidden beast` number, since 4 + 2 + 2 + 8 + 9 + 543 + 2 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42289543297) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1364178801 + ... + 1364178831.

It is an arithmetic number, because the mean of its divisors is an integer number (149904300).

Almost surely, 242289543296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42289543296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86344876800).

42289543296 is an abundant number, since it is smaller than the sum of its proper divisors (130400210304).

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

42289543296 is a wasteful number, since it uses less digits than its factorization.

42289543296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 67 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

It can be divided in two parts, 42289 and 543296, that added together give a palindrome (585585).

The spelling of 42289543296 in words is "forty-two billion, two hundred eighty-nine million, five hundred forty-three thousand, two hundred ninety-six".