Search a number
-
+
241335060533142 = 231923113149954983
BaseRepresentation
bin110110110111111000110010…
…100011100000111110010110
31011122111101222022111010220120
4312313320302203200332112
5223113013200444030032
62213135443554212410
7101555611530563562
oct6667706243407626
91148441868433816
10241335060533142
116a995696096034
1223098427584106
13a487a4c57a274
144384971c306a2
151cd7a2ac1c62c
hexdb7e328e0f96

241335060533142 has 192 divisors, whose sum is σ = 530929022976000. Its totient is φ = 73041651633600.

The previous prime is 241335060533129. The next prime is 241335060533167.

241335060533142 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2413350605331422 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 241335060533094 and 241335060533103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4389239383 + ... + 4389294365.

It is an arithmetic number, because the mean of its divisors is an integer number (2765255328000).

Almost surely, 2241335060533142 is an apocalyptic number.

241335060533142 is an abundant number, since it is smaller than the sum of its proper divisors (289593962442858).

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

241335060533142 is a wasteful number, since it uses less digits than its factorization.

241335060533142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55687 (or 55668 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 42.

The spelling of 241335060533142 in words is "two hundred forty-one trillion, three hundred thirty-five billion, sixty million, five hundred thirty-three thousand, one hundred forty-two".