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14335512361 = 17270432
BaseRepresentation
bin11010101100111011…
…01000111100101001
31101000001210111000021
431112131220330221
5213324342343421
610330255440441
71015150562452
oct152635507451
941001714007
1014335512361
116097028685
122940b26121
131475c919c1
1499dc92129
1558d809341
hex356768f29

14335512361 has 9 divisors (see below), whose sum is σ = 15230544151. Its totient is φ = 13490331232.

The previous prime is 14335512349. The next prime is 14335512371. The reversal of 14335512361 is 16321553341.

The square root of 14335512361 is 119731.

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

It can be written as a sum of positive squares in only one way, i.e., 11160866025 + 3174646336 = 105645^2 + 56344^2 .

It is not a de Polignac number, because 14335512361 - 25 = 14335512329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14335512371) 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 8 ways as a sum of consecutive naturals, for example, 2031906 + ... + 2038948.

Almost surely, 214335512361 is an apocalyptic number.

14335512361 is the 119731-st square number.

14335512361 is the 59866-th centered octagonal number.

It is an amenable number.

14335512361 is a deficient number, since it is larger than the sum of its proper divisors (895031790).

14335512361 is an frugal number, since it uses more digits than its factorization.

14335512361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14120 (or 7060 counting only the distinct ones).

The product of its digits is 32400, while the sum is 34.

Multiplying 14335512361 by its product of digits (32400), we get a square (464470600496400 = 215515802).

The spelling of 14335512361 in words is "fourteen billion, three hundred thirty-five million, five hundred twelve thousand, three hundred sixty-one".

Divisors: 1 17 289 7043 119731 2035427 49603849 843265433 14335512361