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144502618225 = 5272108612
BaseRepresentation
bin1000011010010100000…
…1101111100001110001
3111210222122011120210011
42012211001233201301
54331420132240400
6150214504334521
713303623663100
oct2064501574161
9453878146704
10144502618225
1156312a62929
1224009774441
131081b674434
146dcb61a037
153b5b17a8ba
hex21a506f871

144502618225 has 27 divisors (see below), whose sum is σ = 208456847361. Its totient is φ = 99078386400.

The previous prime is 144502618217. The next prime is 144502618237. The reversal of 144502618225 is 522816205441.

The square root of 144502618225 is 380135.

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 8807634801 + 135694983424 = 93849^2 + 368368^2 .

It is not a de Polignac number, because 144502618225 - 23 = 144502618217 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13299295 + ... + 13310155.

Almost surely, 2144502618225 is an apocalyptic number.

144502618225 is the 380135-th square number.

144502618225 is the 190068-th centered octagonal number.

It is an amenable number.

144502618225 is a deficient number, since it is larger than the sum of its proper divisors (63954229136).

144502618225 is an frugal number, since it uses more digits than its factorization.

144502618225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21746 (or 10873 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 40.

The spelling of 144502618225 in words is "one hundred forty-four billion, five hundred two million, six hundred eighteen thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 10861 54305 76027 271525 380135 532189 1900675 2660945 13304725 117961321 589806605 825729247 2949033025 4128646235 5780104729 20643231175 28900523645 144502618225