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241342222243168 = 25291204921584119
BaseRepresentation
bin110110110111111111011101…
…011011010001010101100000
31011122112002110102111201011001
4312313333131123101111200
5223113122332343240133
62213143030350401344
7101556254152243624
oct6667773533212540
91148462412451131
10241342222243168
116a99873074a852
12230998a5b00254
13a4886212220c7
144385051043184
151cd7ce982a87d
hexdb7fdd6d1560

241342222243168 has 48 divisors (see below), whose sum is σ = 491567540940000. Its totient is φ = 116500363241472.

The previous prime is 241342222243117. The next prime is 241342222243169. The reversal of 241342222243168 is 861342222243142.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241342222243169) 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 7 ways as a sum of consecutive naturals, for example, 389413 + ... + 21973531.

It is an arithmetic number, because the mean of its divisors is an integer number (10240990436250).

Almost surely, 2241342222243168 is an apocalyptic number.

It is an amenable number.

241342222243168 is an abundant number, since it is smaller than the sum of its proper divisors (250225318696832).

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

241342222243168 is a wasteful number, since it uses less digits than its factorization.

241342222243168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21596207 (or 21596199 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 46.

The spelling of 241342222243168 in words is "two hundred forty-one trillion, three hundred forty-two billion, two hundred twenty-two million, two hundred forty-three thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 12049 24098 48196 96392 192784 349421 385568 698842 1397684 2795368 5590736 11181472 21584119 43168238 86336476 172672952 345345904 625939451 690691808 1251878902 2503757804 5007515608 10015031216 20030062432 260067049831 520134099662 1040268199324 2080536398648 4161072797296 7541944445099 8322145594592 15083888890198 30167777780396 60335555560792 120671111121584 241342222243168