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14334554529 = 345322512
BaseRepresentation
bin11010101100110011…
…11111000110100001
31100222222222211010000
431112121333012201
5213324121221104
610330223130213
71015136463111
oct152631770641
940888884100
1014334554529
116096533a89
122940743969
131475a17a39
1499dac3041
1558d6ba639
hex35667f1a1

14334554529 has 45 divisors (see below), whose sum is σ = 21912294019. Its totient is φ = 9338706000.

The previous prime is 14334554491. The next prime is 14334554551. The reversal of 14334554529 is 92545543341.

The square root of 14334554529 is 119727.

It is a perfect power (a square), and thus also a powerful number.

14334554529 is a `hidden beast` number, since 1 + 4 + 33 + 45 + 54 + 529 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10333739025 + 4000815504 = 101655^2 + 63252^2 .

It is not a de Polignac number, because 14334554529 - 219 = 14334030241 is a prime.

It is a super-3 number, since 3×143345545293 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (14334554329) 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 44 ways as a sum of consecutive naturals, for example, 57109654 + ... + 57109904.

Almost surely, 214334554529 is an apocalyptic number.

14334554529 is the 119727-th square number.

14334554529 is the 59864-th centered octagonal number.

It is an amenable number.

14334554529 is a deficient number, since it is larger than the sum of its proper divisors (7577739490).

14334554529 is an frugal number, since it uses more digits than its factorization.

14334554529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 307 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 45.

The spelling of 14334554529 in words is "fourteen billion, three hundred thirty-four million, five hundred fifty-four thousand, five hundred twenty-nine".

Divisors: 1 3 9 27 53 81 159 251 477 753 1431 2259 2809 4293 6777 8427 13303 20331 25281 39909 63001 75843 119727 189003 227529 359181 567009 705059 1077543 1701027 2115177 3339053 5103081 6345531 10017159 19036593 30051477 57109779 90154431 176969809 270463293 530909427 1592728281 4778184843 14334554529