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14534605572345 = 32514918111976389
BaseRepresentation
bin1101001110000001101000…
…0000001000100011111001
31220110111100122121212220200
43103200122000020203321
53401113333011303340
650525034451512413
73030043034630415
oct323403200104371
956414318555820
1014534605572345
1146a4100a24851
121768aa1bb8709
138157b8685541
1438369b647d45
151a3129b4e330
hexd381a0088f9

14534605572345 has 48 divisors (see below), whose sum is σ = 25502524866000. Its totient is φ = 7657223431680.

The previous prime is 14534605572323. The next prime is 14534605572391. The reversal of 14534605572345 is 54327550643541.

14534605572345 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 4 + 60 + 5 + 572 + 3 + 4 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3933193299984 + 10601412272361 = 1983228^2 + 3255981^2 .

It is not a de Polignac number, because 14534605572345 - 26 = 14534605572281 is a prime.

It is a super-2 number, since 2×145346055723452 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14534605572291 and 14534605572300.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4774590 + ... + 7201799.

It is an arithmetic number, because the mean of its divisors is an integer number (531302601375).

Almost surely, 214534605572345 is an apocalyptic number.

14534605572345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14534605572345 is a deficient number, since it is larger than the sum of its proper divisors (10967919293655).

14534605572345 is a wasteful number, since it uses less digits than its factorization.

14534605572345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11976730 (or 11976727 counting only the distinct ones).

The product of its (nonzero) digits is 30240000, while the sum is 54.

The spelling of 14534605572345 in words is "fourteen trillion, five hundred thirty-four billion, six hundred five million, five hundred seventy-two thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 149 181 447 543 745 905 1341 1629 2235 2715 6705 8145 26969 80907 134845 242721 404535 1213605 11976389 35929167 59881945 107787501 179645835 538937505 1784481961 2167726409 5353445883 6503179227 8922409805 10838632045 16060337649 19509537681 26767229415 32515896135 80301688245 97547688405 322991234941 968973704823 1614956174705 2906921114469 4844868524115 14534605572345