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241133032140 = 22357111338910321
BaseRepresentation
bin1110000010010010100…
…1100001001011001100
3212001101222100012220020
43200210221201023030
512422320024012030
6302435221422140
723264333645340
oct3404451411314
9761358305806
10241133032140
119329a346040
123a896b6a950
131997b049550
14b956d49620
156414669510
hex3824a612cc

241133032140 has 384 divisors, whose sum is σ = 908943759360. Its totient is φ = 46127923200.

The previous prime is 241133032109. The next prime is 241133032159. The reversal of 241133032140 is 41230331142.

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 241133032140.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23358180 + ... + 23368500.

It is an arithmetic number, because the mean of its divisors is an integer number (2367041040).

Almost surely, 2241133032140 is an apocalyptic number.

241133032140 is a gapful number since it is divisible by the number (20) 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 241133032140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454471879680).

241133032140 is an abundant number, since it is smaller than the sum of its proper divisors (667810727220).

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

241133032140 is a wasteful number, since it uses less digits than its factorization.

241133032140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10753 (or 10751 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 241133032140 its reverse (41230331142), we get a palindrome (282363363282).

The spelling of 241133032140 in words is "two hundred forty-one billion, one hundred thirty-three million, thirty-two thousand, one hundred forty".