Search a number
-
+
42325291008 = 21232711133137
BaseRepresentation
bin100111011010110010…
…001011000000000000
311001020201111120002200
4213122302023000000
51143140233303013
631235521513200
73025601015610
oct473262130000
9131221446080
1042325291008
1116a4a583650
1282527a2800
133cb6a411c0
142097340a40
15117ac01e73
hex9dac8b000

42325291008 has 1248 divisors, whose sum is σ = 174025592832. Its totient is φ = 9555148800.

The previous prime is 42325291007. The next prime is 42325291013. The reversal of 42325291008 is 80019252324.

It is a happy number.

42325291008 is a `hidden beast` number, since 4 + 23 + 2 + 529 + 100 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

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

It is not an unprimeable number, because it can be changed into a prime (42325291003) 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 95 ways as a sum of consecutive naturals, for example, 1143926766 + ... + 1143926802.

It is an arithmetic number, because the mean of its divisors is an integer number (139443584).

Almost surely, 242325291008 is an apocalyptic number.

42325291008 is a gapful number since it is divisible by the number (48) 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 42325291008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87012796416).

42325291008 is an abundant number, since it is smaller than the sum of its proper divisors (131700301824).

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

42325291008 is a wasteful number, since it uses less digits than its factorization.

42325291008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

It can be divided in two parts, 42325 and 291008, that added together give a palindrome (333333).

The spelling of 42325291008 in words is "forty-two billion, three hundred twenty-five million, two hundred ninety-one thousand, eight".