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1014909160329 = 323358092
BaseRepresentation
bin11101100010011010100…
…11001100101110001001
310121000122202122020120100
432301031103030232021
5113112013221112304
62054124241320013
7133216252344531
oct16611523145611
93530582566510
101014909160329
113614698427a9
12144843036009
137492305a6bc
143719c5824c1
151b6005d5439
hexec4d4ccb89

1014909160329 has 9 divisors (see below), whose sum is σ = 1465984263783. Its totient is φ = 676604092032.

The previous prime is 1014909160271. The next prime is 1014909160333. The reversal of 1014909160329 is 9230619094101.

The square root of 1014909160329 is 1007427.

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

1014909160329 is a `hidden beast` number, since 1 + 0 + 14 + 9 + 0 + 9 + 1 + 603 + 29 = 666.

1014909160329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 953206600329 + 61702560000 = 976323^2 + 248400^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 1014909160329 - 211 = 1014909158281 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1014909160339) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2854377 + ... + 3190185.

Almost surely, 21014909160329 is an apocalyptic number.

1014909160329 is the 1007427-th square number.

1014909160329 is the 503714-th centered octagonal number.

It is an amenable number.

1014909160329 is a deficient number, since it is larger than the sum of its proper divisors (451075103454).

1014909160329 is an frugal number, since it uses more digits than its factorization.

1014909160329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671624 (or 335812 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 1014909160329 in words is "one trillion, fourteen billion, nine hundred nine million, one hundred sixty thousand, three hundred twenty-nine".

Divisors: 1 3 9 335809 1007427 3022281 112767684481 338303053443 1014909160329