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240045103637261 = 13178093103681829
BaseRepresentation
bin110110100101000111011011…
…001000011110001100001101
31011110221002101000000020112122
4312211013123020132030031
5222430344333012343021
62210311110453142325
7101363454305101136
oct6645073310361415
91143832330006478
10240045103637261
116a53861404969a
1222b0a42362a9a5
13a3c32050829b0
14433c360428c8d
151cb41cd86bbab
hexda51db21e30d

240045103637261 has 8 divisors (see below), whose sum is σ = 258511565648280. Its totient is φ = 221578849346112.

The previous prime is 240045103637239. The next prime is 240045103637281. The reversal of 240045103637261 is 162736301540042.

240045103637261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11611533304900 + 228433570332361 = 3407570^2 + 15114019^2 .

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 240045103637261 - 210 = 240045103636237 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240045103637281) 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, 49525706 + ... + 54156123.

It is an arithmetic number, because the mean of its divisors is an integer number (32313945706035).

Almost surely, 2240045103637261 is an apocalyptic number.

It is an amenable number.

240045103637261 is a deficient number, since it is larger than the sum of its proper divisors (18466462011019).

240045103637261 is a wasteful number, since it uses less digits than its factorization.

240045103637261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103859935.

The product of its (nonzero) digits is 725760, while the sum is 44.

The spelling of 240045103637261 in words is "two hundred forty trillion, forty-five billion, one hundred three million, six hundred thirty-seven thousand, two hundred sixty-one".

Divisors: 1 13 178093 2315209 103681829 1347863777 18465007972097 240045103637261