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2140642305 = 325103461843
BaseRepresentation
bin111111110010111…
…1001110000000001
312112011222220012100
41333211321300001
513341001023210
6552225221013
7104022105444
oct17745716001
95464886170
102140642305
119a937827a
124b8a91769
1328164ab69
1416442965b
15c7de45c0
hex7f979c01

2140642305 has 24 divisors (see below), whose sum is σ = 3746478528. Its totient is φ = 1130589216.

The previous prime is 2140642303. The next prime is 2140642313. The reversal of 2140642305 is 5032460412.

2140642305 is a `hidden beast` number, since 2 + 14 + 0 + 642 + 3 + 0 + 5 = 666.

It is not a de Polignac number, because 2140642305 - 21 = 2140642303 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2140642303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 226287 + ... + 235556.

It is an arithmetic number, because the mean of its divisors is an integer number (156103272).

Almost surely, 22140642305 is an apocalyptic number.

It is an amenable number.

2140642305 is a deficient number, since it is larger than the sum of its proper divisors (1605836223).

2140642305 is a wasteful number, since it uses less digits than its factorization.

2140642305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461957 (or 461954 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2140642305 is about 46267.0758207173. The cubic root of 2140642305 is about 1288.7876567410.

The spelling of 2140642305 in words is "two billion, one hundred forty million, six hundred forty-two thousand, three hundred five".

Divisors: 1 3 5 9 15 45 103 309 515 927 1545 4635 461843 1385529 2309215 4156587 6927645 20782935 47569829 142709487 237849145 428128461 713547435 2140642305