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42321223140 = 223572325717047
BaseRepresentation
bin100111011010100010…
…101001110111100100
311001020102211220000220
4213122202221313210
51143133213120030
631235254404340
73025521314130
oct473242516744
9131212756026
1042321223140
1116a48255379
1282513606b0
133cb5c48791
1420969a23c0
15117a69ba10
hex9da8a9de4

42321223140 has 192 divisors, whose sum is σ = 141874274304. Its totient is φ = 9216294912.

The previous prime is 42321223099. The next prime is 42321223141. The reversal of 42321223140 is 4132212324.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 42321223140.

It is not an unprimeable number, because it can be changed into a prime (42321223141) 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 63 ways as a sum of consecutive naturals, for example, 2474097 + ... + 2491143.

It is an arithmetic number, because the mean of its divisors is an integer number (738928512).

Almost surely, 242321223140 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 42321223140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70937137152).

42321223140 is an abundant number, since it is smaller than the sum of its proper divisors (99553051164).

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

42321223140 is a wasteful number, since it uses less digits than its factorization.

42321223140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17346 (or 17344 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 42321223140 its reverse (4132212324), we get a palindrome (46453435464).

The spelling of 42321223140 in words is "forty-two billion, three hundred twenty-one million, two hundred twenty-three thousand, one hundred forty".