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241023041034345 = 32579218393104461
BaseRepresentation
bin110110110011010110001100…
…101111100101100001101001
31011121101120121010202022111100
4312303112030233211201221
5223042410142001044340
62212340242333352013
7101524224433603533
oct6663261457454151
91147346533668440
10241023041034345
116a88533022a459
1223047a68938609
13a4644b554a8bb
144373812676853
151cce86823a830
hexdb358cbe5869

241023041034345 has 48 divisors (see below), whose sum is σ = 423081048499200. Its totient is φ = 126912609682560.

The previous prime is 241023041034311. The next prime is 241023041034359. The reversal of 241023041034345 is 543430140320142.

241023041034345 is a `hidden beast` number, since 2 + 4 + 1 + 0 + 2 + 304 + 1 + 0 + 3 + 4 + 345 = 666.

It is not a de Polignac number, because 241023041034345 - 220 = 241023039985769 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76085415 + ... + 79189875.

It is an arithmetic number, because the mean of its divisors is an integer number (8814188510400).

Almost surely, 2241023041034345 is an apocalyptic number.

It is an amenable number.

241023041034345 is a deficient number, since it is larger than the sum of its proper divisors (182058007464855).

241023041034345 is a wasteful number, since it uses less digits than its factorization.

241023041034345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3126390 (or 3126387 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 241023041034345 its reverse (543430140320142), we get a palindrome (784453181354487).

The spelling of 241023041034345 in words is "two hundred forty-one trillion, twenty-three billion, forty-one million, thirty-four thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 79 237 395 711 1185 3555 21839 65517 109195 196551 327585 982755 1725281 3104461 5175843 8626405 9313383 15522305 15527529 25879215 27940149 46566915 77637645 139700745 245252419 735757257 1226262095 2207271771 3678786285 11036358855 67798323779 203394971337 338991618895 610184914011 1016974856685 3050924570055 5356067578541 16068202735623 26780337892705 48204608206869 80341013678115 241023041034345