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14329709541 = 337193990451
BaseRepresentation
bin11010101100001111…
…00000001111100101
31100222122212200001000
431112013200033211
5213321401201131
610325531223513
71015050343560
oct152607401745
940878780030
1014329709541
116093824964
12293aba7b99
131474a0c694
1499d1c14d7
1558d05ece6
hex3561e03e5

14329709541 has 32 divisors (see below), whose sum is σ = 25538892800. Its totient is φ = 7757434800.

The previous prime is 14329709519. The next prime is 14329709567. The reversal of 14329709541 is 14590792341.

14329709541 is a `hidden beast` number, since 1 + 4 + 32 + 9 + 70 + 9 + 541 = 666.

14329709541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14329709541 - 27 = 14329709413 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 (14329709741) 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 31 ways as a sum of consecutive naturals, for example, 1991635 + ... + 1998816.

It is an arithmetic number, because the mean of its divisors is an integer number (798090400).

Almost surely, 214329709541 is an apocalyptic number.

It is an amenable number.

14329709541 is a deficient number, since it is larger than the sum of its proper divisors (11209183259).

14329709541 is a wasteful number, since it uses less digits than its factorization.

14329709541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3990486 (or 3990480 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 14329709541 in words is "fourteen billion, three hundred twenty-nine million, seven hundred nine thousand, five hundred forty-one".

Divisors: 1 3 7 9 19 21 27 57 63 133 171 189 399 513 1197 3591 3990451 11971353 27933157 35914059 75818569 83799471 107742177 227455707 251398413 530729983 682367121 754195239 1592189949 2047101363 4776569847 14329709541