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41040682225 = 5231213072
BaseRepresentation
bin100110001110001101…
…110001110011110001
310220221012021200010121
4212032031301303301
51133022403312400
630504232130241
72652012020524
oct461615616361
9126835250117
1041040682225
1116450438aa4
127b54536981
133b4086496a
141db48a8bbb
15110305221a
hex98e371cf1

41040682225 has 27 divisors (see below), whose sum is σ = 52625293131. Its totient is φ = 31749121200.

The previous prime is 41040682223. The next prime is 41040682261. The reversal of 41040682225 is 52228604014.

The square root of 41040682225 is 202585.

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., 14774645601 + 26266036624 = 121551^2 + 162068^2 .

It is not a de Polignac number, because 41040682225 - 21 = 41040682223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (41040682223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 31400022 + ... + 31401328.

Almost surely, 241040682225 is an apocalyptic number.

41040682225 is the 202585-th square number.

41040682225 is the 101293-rd centered octagonal number.

It is an amenable number.

41040682225 is a deficient number, since it is larger than the sum of its proper divisors (11584610906).

41040682225 is an frugal number, since it uses more digits than its factorization.

41040682225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2686 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The spelling of 41040682225 in words is "forty-one billion, forty million, six hundred eighty-two thousand, two hundred twenty-five".

Divisors: 1 5 25 31 155 775 961 1307 4805 6535 24025 32675 40517 202585 1012925 1256027 1708249 6280135 8541245 31400675 42706225 52955719 264778595 1323892975 1641627289 8208136445 41040682225