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14415604225 = 52112372592
BaseRepresentation
bin11010110110011110…
…01010101000000001
31101012122111120101121
431123033022220001
5214010343313400
610342240232241
71020142420441
oct153317125001
941178446347
1014415604225
116128261900
12296390b681
131489754b39
149aa780121
1559587a21a
hex35b3caa01

14415604225 has 81 divisors (see below), whose sum is σ = 20541557001. Its totient is φ = 10027828800.

The previous prime is 14415604213. The next prime is 14415604253. The reversal of 14415604225 is 52240651441.

The square root of 14415604225 is 120065.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1368482049 + 13047122176 = 36993^2 + 114224^2 .

It is not a de Polignac number, because 14415604225 - 25 = 14415604193 is a prime.

It is a Duffinian number.

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, 244332246 + ... + 244332304.

Almost surely, 214415604225 is an apocalyptic number.

14415604225 is the 120065-th square number.

14415604225 is the 60033-rd centered octagonal number.

It is an amenable number.

14415604225 is a deficient number, since it is larger than the sum of its proper divisors (6125952776).

14415604225 is an equidigital number, since it uses as much as digits as its factorization.

14415604225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The spelling of 14415604225 in words is "fourteen billion, four hundred fifteen million, six hundred four thousand, two hundred twenty-five".

Divisors: 1 5 11 25 37 55 59 121 185 275 295 407 605 649 925 1369 1475 2035 2183 3025 3245 3481 4477 6845 7139 10175 10915 15059 16225 17405 22385 24013 34225 35695 38291 54575 75295 80771 87025 111925 120065 128797 165649 178475 191455 264143 376475 403855 421201 600325 643985 828245 888481 957275 1320715 1416767 2019275 2106005 3219925 4141225 4442405 4765489 6603575 7083835 9773291 10530025 15584437 22212025 23827445 35419175 48866455 52420379 77922185 119137225 244332275 262101895 389610925 576624169 1310509475 2883120845 14415604225