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240535303542341 = 3718553350399081
BaseRepresentation
bin110110101100001111111101…
…010100101101011001000101
31011112122221122212121112212122
4312230033331110231121011
5223011412300201323331
62211324220514255325
7101444050024406303
oct6654177524553105
91145587585545778
10240535303542341
116a7074a411a795
1222b8942a587545
13a42a4c6a66322
144357d83c85273
151cc1d1de2d17b
hexdac3fd52d645

240535303542341 has 8 divisors (see below), whose sum is σ = 247049573562264. Its totient is φ = 234021734357760.

The previous prime is 240535303542311. The next prime is 240535303542349. The reversal of 240535303542341 is 143245303535042.

It can be written as a sum of positive squares in 4 ways, for example, as 6997991716 + 240528305550625 = 83654^2 + 15508975^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 240535303542341 - 222 = 240535299348037 is a prime.

It is a super-2 number, since 2×2405353035423412 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 240535303542292 and 240535303542301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240535303542349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174513080 + ... + 175886001.

It is an arithmetic number, because the mean of its divisors is an integer number (30881196695283).

Almost surely, 2240535303542341 is an apocalyptic number.

It is an amenable number.

240535303542341 is a deficient number, since it is larger than the sum of its proper divisors (6514270019923).

240535303542341 is a wasteful number, since it uses less digits than its factorization.

240535303542341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350417671.

The product of its (nonzero) digits is 2592000, while the sum is 44.

The spelling of 240535303542341 in words is "two hundred forty trillion, five hundred thirty-five billion, three hundred three million, five hundred forty-two thousand, three hundred forty-one".

Divisors: 1 37 18553 686461 350399081 12964765997 6500954149793 240535303542341