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4140429966 = 233151507779
BaseRepresentation
bin1111011011001001…
…1111001010001110
3101200112221122011000
43312302133022032
531434422224331
61522503441130
7204414034251
oct36662371216
911615848130
104140429966
11183518a352
129767561a6
1350ca4c67a
142b3c6b098
151937640e6
hexf6c9f28e

4140429966 has 32 divisors (see below), whose sum is σ = 9261907200. Its totient is φ = 1371000600.

The previous prime is 4140429941. The next prime is 4140429971. The reversal of 4140429966 is 6699240414.

It is a super-2 number, since 2×41404299662 = 34286320606701522312, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245736 + ... + 262043.

It is an arithmetic number, because the mean of its divisors is an integer number (289434600).

Almost surely, 24140429966 is an apocalyptic number.

4140429966 is an abundant number, since it is smaller than the sum of its proper divisors (5121477234).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4140429966 is a wasteful number, since it uses less digits than its factorization.

4140429966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507941 (or 507935 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 4140429966 is about 64346.1728931877. The cubic root of 4140429966 is about 1605.7643594830.

The spelling of 4140429966 in words is "four billion, one hundred forty million, four hundred twenty-nine thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 151 302 453 906 1359 2718 4077 8154 507779 1015558 1523337 3046674 4570011 9140022 13710033 27420066 76674629 153349258 230023887 460047774 690071661 1380143322 2070214983 4140429966