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241242320152232 = 237213965914474643
BaseRepresentation
bin110110110110100010011010…
…110011000010011010101000
31011122011112121002002122212222
4312312202122303002122220
5223110003232424332412
62213025105242053212
7101546116404421400
oct6666423263023250
91148145532078788
10241242320152232
116a95a325608233
1223082464aaa208
13a47c08caa3529
144380294dcb800
151cd53eded1072
hexdb689acc26a8

241242320152232 has 192 divisors, whose sum is σ = 531249897024000. Its totient is φ = 102397107947904.

The previous prime is 241242320152219. The next prime is 241242320152237. The reversal of 241242320152232 is 232251023242142.

It is a junction number, because it is equal to n+sod(n) for n = 241242320152192 and 241242320152201.

It is not an unprimeable number, because it can be changed into a prime (241242320152237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51958283303 + ... + 51958287945.

It is an arithmetic number, because the mean of its divisors is an integer number (2766926547000).

Almost surely, 2241242320152232 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 241242320152232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265624948512000).

241242320152232 is an abundant number, since it is smaller than the sum of its proper divisors (290007576871768).

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

241242320152232 is a wasteful number, since it uses less digits than its factorization.

241242320152232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6908 (or 6897 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

Adding to 241242320152232 its reverse (232251023242142), we get a palindrome (473493343394374).

The spelling of 241242320152232 in words is "two hundred forty-one trillion, two hundred forty-two billion, three hundred twenty million, one hundred fifty-two thousand, two hundred thirty-two".