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14281445025 = 32523122572
BaseRepresentation
bin11010100110011110…
…11000111010100001
31100212022001120120100
431103033120322201
5213222022220100
610321044533013
71013623164651
oct152317307241
940768046510
1014281445025
11606955a031
1229269b1169
131467a111b3
14996a1a361
15588bc9400
hex3533d8ea1

14281445025 has 81 divisors (see below), whose sum is σ = 26534668953. Its totient is φ = 7342387200.

The previous prime is 14281444999. The next prime is 14281445041. The reversal of 14281445025 is 52054418241.

The square root of 14281445025 is 119505.

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

14281445025 is a `hidden beast` number, since 1 + 4 + 2 + 8 + 144 + 502 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3509496081 + 10771948944 = 59241^2 + 103788^2 .

It is not a de Polignac number, because 14281445025 - 225 = 14247890593 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 55569697 + ... + 55569953.

Almost surely, 214281445025 is an apocalyptic number.

14281445025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14281445025 is the 119505-th square number.

14281445025 is the 59753-rd centered octagonal number.

It is an amenable number.

14281445025 is a deficient number, since it is larger than the sum of its proper divisors (12253223928).

14281445025 is an equidigital number, since it uses as much as digits as its factorization.

14281445025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

Multiplying 14281445025 by its sum of digits (36), we get a square (514132020900 = 7170302).

The spelling of 14281445025 in words is "fourteen billion, two hundred eighty-one million, four hundred forty-five thousand, twenty-five".

Divisors: 1 3 5 9 15 25 31 45 75 93 155 225 257 279 465 771 775 961 1285 1395 2313 2325 2883 3855 4805 6425 6975 7967 8649 11565 14415 19275 23901 24025 39835 43245 57825 66049 71703 72075 119505 198147 199175 216225 246977 330245 358515 594441 597525 740931 990735 1234885 1651225 1792575 2047519 2222793 2972205 3704655 4953675 6142557 6174425 10237595 11113965 14861025 18427671 18523275 30712785 51187975 55569825 63473089 92138355 153563925 190419267 317365445 460691775 571257801 952096335 1586827225 2856289005 4760481675 14281445025