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6440146317 = 321197670639
BaseRepresentation
bin1011111111101110…
…01101010110001101
3121121211021022220200
411333313031112031
5101142134140232
62543014404113
7315410224533
oct57767152615
917554238820
106440146317
112805327280
1212b8960639
137b8325687
14451464153
1527a5cb77c
hex17fdcd58d

6440146317 has 24 divisors (see below), whose sum is σ = 10252744320. Its totient is φ = 3862874880.

The previous prime is 6440146313. The next prime is 6440146327. The reversal of 6440146317 is 7136410446.

6440146317 is a `hidden beast` number, since 6 + 4 + 4 + 0 + 14 + 631 + 7 = 666.

It is not a de Polignac number, because 6440146317 - 22 = 6440146313 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6440146313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 325717 + ... + 344922.

It is an arithmetic number, because the mean of its divisors is an integer number (427197680).

Almost surely, 26440146317 is an apocalyptic number.

It is an amenable number.

6440146317 is a deficient number, since it is larger than the sum of its proper divisors (3812598003).

6440146317 is a wasteful number, since it uses less digits than its factorization.

6440146317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670753 (or 670750 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 6440146317 is about 80250.5222225999. The cubic root of 6440146317 is about 1860.5095837551.

The spelling of 6440146317 in words is "six billion, four hundred forty million, one hundred forty-six thousand, three hundred seventeen".

Divisors: 1 3 9 11 33 97 99 291 873 1067 3201 9603 670639 2011917 6035751 7377029 22131087 65051983 66393261 195155949 585467847 715571813 2146715439 6440146317