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14226663830625 = 3254502912
BaseRepresentation
bin1100111100000110011100…
…1111100111010001100001
31212101001111122220120121100
43033001213033213101201
53331042201420040000
650131350015345013
72665561664206101
oct317014717472141
955331448816540
1014226663830625
114595548931444
121719280b22169
137c2751400a9c
14372807885201
1519a105151a00
hexcf0673e7461

14226663830625 has 45 divisors (see below), whose sum is σ = 25679322680869. Its totient is φ = 7587403170000.

The previous prime is 14226663830597. The next prime is 14226663830633. The reversal of 14226663830625 is 52603836662241.

It is a happy number.

The square root of 14226663830625 is 3771825.

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

It can be written as a sum of positive squares in 2 ways, for example, as 1115370444321 + 13111293386304 = 1056111^2 + 3620952^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 14226663830625 - 241 = 12027640575073 is a prime.

It is a super-3 number, since 3×142266638306253 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 282861730 + ... + 282912020.

Almost surely, 214226663830625 is an apocalyptic number.

14226663830625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14226663830625 is the 3771825-th square number.

14226663830625 is the 1885913-rd centered octagonal number.

It is an amenable number.

14226663830625 is a deficient number, since it is larger than the sum of its proper divisors (11452658850244).

14226663830625 is an frugal number, since it uses more digits than its factorization.

14226663830625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100608 (or 50299 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 14226663830625 in words is "fourteen trillion, two hundred twenty-six billion, six hundred sixty-three million, eight hundred thirty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 625 1125 1875 5625 50291 150873 251455 452619 754365 1257275 2263095 3771825 6286375 11315475 18859125 31431875 56577375 94295625 282886875 2529184681 7587554043 12645923405 22762662129 37937770215 63229617025 113813310645 189688851075 316148085125 569066553225 948444255375 1580740425625 2845332766125 4742221276875 14226663830625