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42332343240 = 233511612631999
BaseRepresentation
bin100111011011001101…
…000100101111001000
311001021012202211221110
4213123031010233020
51143144034440430
631240333010320
73026014660215
oct473315045710
9131235684843
1042332343240
1116a53560040
1282550239a0
133cb8340115
142098258b0c
15117b6467b0
hex9db344bc8

42332343240 has 256 divisors, whose sum is σ = 141419520000. Its totient is φ = 10050739200.

The previous prime is 42332343107. The next prime is 42332343241. The reversal of 42332343240 is 4234323324.

42332343240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 42332343198 and 42332343207.

It is not an unprimeable number, because it can be changed into a prime (42332343241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21175761 + ... + 21177759.

It is an arithmetic number, because the mean of its divisors is an integer number (552420000).

Almost surely, 242332343240 is an apocalyptic number.

42332343240 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 42332343240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70709760000).

42332343240 is an abundant number, since it is smaller than the sum of its proper divisors (99087176760).

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

42332343240 is a wasteful number, since it uses less digits than its factorization.

42332343240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2348 (or 2344 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 30.

Adding to 42332343240 its reverse (4234323324), we get a palindrome (46566666564).

The spelling of 42332343240 in words is "forty-two billion, three hundred thirty-two million, three hundred forty-three thousand, two hundred forty".