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430331629149 = 3336766165701
BaseRepresentation
bin1100100001100011100…
…00111000111001011101
31112010202112212210001000
412100301300320321131
524022304344113044
6525405220140513
743043006331462
oct6206160707135
91463675783030
10430331629149
11156558a93304
126b499237739
13317706268b6
1416b84695669
15b2d96ccd69
hex6431c38e5d

430331629149 has 32 divisors (see below), whose sum is σ = 640242337280. Its totient is φ = 285668856000.

The previous prime is 430331629121. The next prime is 430331629171. The reversal of 430331629149 is 941926133034.

It is a happy number.

430331629149 is a `hidden beast` number, since 4 + 3 + 0 + 3 + 3 + 1 + 629 + 14 + 9 = 666.

It is not a de Polignac number, because 430331629149 - 211 = 430331627101 is a prime.

It is a super-2 number, since 2×4303316291492 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430331629549) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6516999 + ... + 6582699.

It is an arithmetic number, because the mean of its divisors is an integer number (20007573040).

Almost surely, 2430331629149 is an apocalyptic number.

It is an amenable number.

430331629149 is a deficient number, since it is larger than the sum of its proper divisors (209910708131).

430331629149 is a wasteful number, since it uses less digits than its factorization.

430331629149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66738 (or 66732 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 430331629149 in words is "four hundred thirty billion, three hundred thirty-one million, six hundred twenty-nine thousand, one hundred forty-nine".

Divisors: 1 3 9 27 367 661 1101 1983 3303 5949 9909 17847 65701 197103 242587 591309 727761 1773927 2183283 6549849 24112267 43428361 72336801 130285083 217010403 390855249 651031209 1172565747 15938208487 47814625461 143443876383 430331629149