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241044145103241 = 32532092124154373
BaseRepresentation
bin110110110011101001110110…
…101001001110000110001001
31011121110121001220210002112200
4312303221312221032012021
5223043231402121300431
62212354052423030413
7101525602423331304
oct6663516651160611
91147417056702480
10241044145103241
116a89327a9a2807
122304bb7859b409
13a46649989c22c
144374855439b3b
151cd01a0d92ee6
hexdb3a76a4e189

241044145103241 has 24 divisors (see below), whose sum is σ = 354761184605256. Its totient is φ = 157656552218880.

The previous prime is 241044145103213. The next prime is 241044145103249. The reversal of 241044145103241 is 142301541440142.

241044145103241 is a `hidden beast` number, since 2 + 4 + 104 + 4 + 1 + 4 + 510 + 32 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 69285296840841 + 171758848262400 = 8323779^2 + 13105680^2 .

It is a de Polignac number, because none of the positive numbers 2k-241044145103241 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 241044145103196 and 241044145103205.

It is not an unprimeable number, because it can be changed into a prime (241044145103249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2097870 + ... + 22056503.

It is an arithmetic number, because the mean of its divisors is an integer number (14781716025219).

Almost surely, 2241044145103241 is an apocalyptic number.

It is an amenable number.

241044145103241 is a deficient number, since it is larger than the sum of its proper divisors (113717039502015).

241044145103241 is a wasteful number, since it uses less digits than its factorization.

241044145103241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24175353 (or 24175350 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 241044145103241 its reverse (142301541440142), we get a palindrome (383345686543383).

The spelling of 241044145103241 in words is "two hundred forty-one trillion, forty-four billion, one hundred forty-five million, one hundred three thousand, two hundred forty-one".

Divisors: 1 3 9 53 159 477 20921 62763 188289 1108813 3326439 9979317 24154373 72463119 217389357 1280181769 3840545307 11521635921 505333637533 1516000912599 4548002737797 26782682789249 80348048367747 241044145103241