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42330212320 = 25511312113677
BaseRepresentation
bin100111011011000100…
…111100011111100000
311001021001202120212111
4213123010330133200
51143143013243240
631240215205104
73025660603504
oct473304743740
9131231676774
1042330212320
1116a52335050
128254376794
133cb7a75216
142097c62304
15117b3751ea
hex9db13c7e0

42330212320 has 192 divisors, whose sum is σ = 113180239872. Its totient is φ = 14821632000.

The previous prime is 42330212317. The next prime is 42330212321. The reversal of 42330212320 is 2321203324.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 42330212291 and 42330212300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42330212321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11510322 + ... + 11513998.

It is an arithmetic number, because the mean of its divisors is an integer number (589480416).

Almost surely, 242330212320 is an apocalyptic number.

42330212320 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 42330212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56590119936).

42330212320 is an abundant number, since it is smaller than the sum of its proper divisors (70850027552).

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

42330212320 is a wasteful number, since it uses less digits than its factorization.

42330212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3945 (or 3937 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 42330212320 its reverse (2321203324), we get a palindrome (44651415644).

The spelling of 42330212320 in words is "forty-two billion, three hundred thirty million, two hundred twelve thousand, three hundred twenty".