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41345122225 = 5211236972
BaseRepresentation
bin100110100000010111…
…000111111110110001
310221201102010211022011
4212200113013332301
51134133322402400
630554345242521
72662366511641
oct464027077661
9127642124264
1041345122225
1116597275300
12801a493441
133b8b958684
1420030b6521
15111eb3b8ba
hex9a05c7fb1

41345122225 has 27 divisors (see below), whose sum is σ = 56367623361. Its totient is φ = 30061046400.

The previous prime is 41345122223. The next prime is 41345122241. The reversal of 41345122225 is 52222154314.

It is a happy number.

The square root of 41345122225 is 203335.

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 14105600289 + 27239521936 = 118767^2 + 165044^2 .

It is not a de Polignac number, because 41345122225 - 21 = 41345122223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41345122223) 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, 11181577 + ... + 11185273.

Almost surely, 241345122225 is an apocalyptic number.

41345122225 is the 203335-th square number.

41345122225 is the 101668-th centered octagonal number.

It is an amenable number.

41345122225 is a deficient number, since it is larger than the sum of its proper divisors (15022501136).

41345122225 is an frugal number, since it uses more digits than its factorization.

41345122225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7426 (or 3713 counting only the distinct ones).

The product of its digits is 19200, while the sum is 31.

Adding to 41345122225 its reverse (52222154314), we get a palindrome (93567276539).

The spelling of 41345122225 in words is "forty-one billion, three hundred forty-five million, one hundred twenty-two thousand, two hundred twenty-five".

Divisors: 1 5 11 25 55 121 275 605 3025 3697 18485 40667 92425 203335 447337 1016675 2236685 11183425 13667809 68339045 150345899 341695225 751729495 1653804889 3758647475 8269024445 41345122225