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240540646530041 = 11213223511432783
BaseRepresentation
bin110110101100010100111011…
…110010100101101111111001
31011112200110110020101110002222
4312230110323302211233321
5223012004221002430131
62211330503021133425
7101444326313144024
oct6654247362455771
91145613406343088
10240540646530041
116a7097960a2500
1222b8a47b9ba275
13a42ab68994400
14435832d70a1bb
151cc203303587b
hexdac53bca5bf9

240540646530041 has 36 divisors (see below), whose sum is σ = 298746300714624. Its totient is φ = 193076103860640.

The previous prime is 240540646530007. The next prime is 240540646530083. The reversal of 240540646530041 is 140035646045042.

It is a de Polignac number, because none of the positive numbers 2k-240540646530041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 240540646529974 and 240540646530001.

It is not an unprimeable number, because it can be changed into a prime (240540646530641) 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 35 ways as a sum of consecutive naturals, for example, 255246065 + ... + 256186718.

It is an arithmetic number, because the mean of its divisors is an integer number (8298508353184).

Almost surely, 2240540646530041 is an apocalyptic number.

It is an amenable number.

240540646530041 is a deficient number, since it is larger than the sum of its proper divisors (58205654184583).

240540646530041 is a wasteful number, since it uses less digits than its factorization.

240540646530041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511432854 (or 511432830 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 44.

The spelling of 240540646530041 in words is "two hundred forty trillion, five hundred forty billion, six hundred forty-six million, five hundred thirty thousand, forty-one".

Divisors: 1 11 13 23 121 143 169 253 299 1573 1859 2783 3289 3887 20449 36179 42757 470327 511432783 5625760613 6648626179 11762954009 61883366743 73134887969 86432140327 129392494099 152918402117 804483767659 950753543597 1423317435089 1682102423287 1987939227521 10458288979567 18503126656157 21867331502731 240540646530041