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241221351443382 = 23233409340112143
BaseRepresentation
bin110110110110001110111000…
…111101110000101110110110
31011122002112110201202212220200
4312312032320331300232312
5223104132311432142012
62213011320425541330
7101544444650350422
oct6666167075605666
91148075421685820
10241221351443382
116a951445297992
122307a392644846
13a47a0ca7c62bb
14437d2661c1b82
151cd4ac31b53dc
hexdb63b8f70bb6

241221351443382 has 24 divisors (see below), whose sum is σ = 522647838863904. Its totient is φ = 80406874470384.

The previous prime is 241221351443381. The next prime is 241221351443417. The reversal of 241221351443382 is 283344153122142.

241221351443382 is a `hidden beast` number, since 2 + 4 + 1 + 2 + 2 + 13 + 514 + 43 + 3 + 82 = 666.

It is a super-4 number, since 4×2412213514433824 (a number of 59 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241221351443381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14042398 + ... + 26069745.

It is an arithmetic number, because the mean of its divisors is an integer number (21776993285996).

Almost surely, 2241221351443382 is an apocalyptic number.

241221351443382 is an abundant number, since it is smaller than the sum of its proper divisors (281426487420522).

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

241221351443382 is a wasteful number, since it uses less digits than its factorization.

241221351443382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40446244 (or 40446241 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The spelling of 241221351443382 in words is "two hundred forty-one trillion, two hundred twenty-one billion, three hundred fifty-one million, four hundred forty-three thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 18 334093 668186 1002279 2004558 3006837 6013674 40112143 80224286 120336429 240672858 361009287 722018574 13401186191299 26802372382598 40203558573897 80407117147794 120610675721691 241221351443382