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14476678061329 = 112113230612
BaseRepresentation
bin1101001010101001110101…
…0000001101110100010001
31220020221211120210102120201
43102222131100031310101
53344141214040430304
650442254420135201
73022622402125561
oct322523520156421
956227746712521
1014476678061329
1146815853a5400
121759816237501
138101b64030c3
1438096411cda1
151a188932c3a4
hexd2a9d40dd11

14476678061329 has 27 divisors (see below), whose sum is σ = 16059691930737. Its totient is φ = 13039889385600.

The previous prime is 14476678061327. The next prime is 14476678061341. The reversal of 14476678061329 is 92316087667441.

The square root of 14476678061329 is 3804823.

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

It can be written as a sum of positive squares in 4 ways, for example, as 102358404225 + 14374319657104 = 319935^2 + 3791348^2 .

It is not a de Polignac number, because 14476678061329 - 21 = 14476678061327 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14476678061323) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4729393459 + ... + 4729396519.

Almost surely, 214476678061329 is an apocalyptic number.

14476678061329 is the 3804823-rd square number.

14476678061329 is the 1902412-nd centered octagonal number.

It is an amenable number.

14476678061329 is a deficient number, since it is larger than the sum of its proper divisors (1583013869408).

14476678061329 is an frugal number, since it uses more digits than its factorization.

14476678061329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6370 (or 3185 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 64.

Multiplying 14476678061329 by its sum of digits (64), we get a square (926507395925056 = 304385842).

The spelling of 14476678061329 in words is "fourteen trillion, four hundred seventy-six billion, six hundred seventy-eight million, sixty-one thousand, three hundred twenty-nine".

Divisors: 1 11 113 121 1243 3061 12769 13673 33671 140459 345893 370381 1545049 3804823 9369721 39085909 41853053 103066931 429944999 1058778473 1133736241 4729394989 11646563203 119641967449 128112195233 1316061641939 14476678061329