Search a number
-
+
445309309225 = 5211411032
BaseRepresentation
bin1100111101011101000…
…00001101000100101001
31120120102101000202112201
412132232200031010221
524243443140343400
6540323335540201
744113115450314
oct6365640150451
91516371022481
10445309309225
11161944550000
127237922a661
1332cb96595a1
14177a594997b
15b8b458406a
hex67ae80d129

445309309225 has 45 divisors (see below), whose sum is σ = 607949303815. Its totient is φ = 323567697200.

The previous prime is 445309309217. The next prime is 445309309231. The reversal of 445309309225 is 522903903544.

The square root of 445309309225 is 667315.

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., 160311351321 + 284997957904 = 400389^2 + 533852^2 .

It is not a de Polignac number, because 445309309225 - 23 = 445309309217 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 403725024 + ... + 403726126.

Almost surely, 2445309309225 is an apocalyptic number.

445309309225 is the 667315-th square number.

445309309225 is the 333658-th centered octagonal number.

It is an amenable number.

445309309225 is a deficient number, since it is larger than the sum of its proper divisors (162639994590).

445309309225 is an frugal number, since it uses more digits than its factorization.

445309309225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2260 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 46.

The spelling of 445309309225 in words is "four hundred forty-five billion, three hundred nine million, three hundred nine thousand, two hundred twenty-five".

Divisors: 1 5 11 25 55 121 275 605 1103 1331 3025 5515 6655 12133 14641 27575 33275 60665 73205 133463 303325 366025 667315 1216609 1468093 3336575 6083045 7340465 13382699 16149023 30415225 36702325 66913495 80745115 147209689 334567475 403725575 736048445 1619306579 3680242225 8096532895 17812372369 40482664475 89061861845 445309309225