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14630311351681 = 1831220892
BaseRepresentation
bin1101010011100110001010…
…0000101101010110000001
31220210122101112221012211121
43110321202200231112001
53404200334201223211
651041023334512241
73040001516423224
oct324714240552601
956718345835747
1014630311351681
11473075338a353
121783551805681
1382182b61a1bc
1438817a2475bb
151a587bd97271
hexd4e6282d581

14630311351681 has 9 divisors (see below), whose sum is σ = 14645316736323. Its totient is φ = 14615321337360.

The previous prime is 14630311351661. The next prime is 14630311351699. The reversal of 14630311351681 is 18615311303641.

The square root of 14630311351681 is 3824959.

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., 12892343729281 + 1737967622400 = 3590591^2 + 1318320^2 .

It is not a de Polignac number, because 14630311351681 - 29 = 14630311351169 is a prime.

It is a super-2 number, since 2×146303113516812 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14630311351661) 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, 7003498885 + ... + 7003500973.

It is an arithmetic number, because the mean of its divisors is an integer number (1627257415147).

Almost surely, 214630311351681 is an apocalyptic number.

14630311351681 is the 3824959-th square number.

14630311351681 is the 1912480-th centered octagonal number.

It is an amenable number.

14630311351681 is a deficient number, since it is larger than the sum of its proper divisors (15005384642).

14630311351681 is an frugal number, since it uses more digits than its factorization.

14630311351681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7840 (or 3920 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The spelling of 14630311351681 in words is "fourteen trillion, six hundred thirty billion, three hundred eleven million, three hundred fifty-one thousand, six hundred eighty-one".

Divisors: 1 1831 2089 3352561 3824959 4363921 7003499929 7990339351 14630311351681