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41205402225 = 32521314087317
BaseRepresentation
bin100110011000000010…
…001000101001110001
310221100200020022111100
4212120002020221301
51133342040332400
630532434435013
72656052066001
oct463002105161
9127320208440
1041205402225
1116525414629
127b9b732a69
133b68a18910
141dcc706001
15111273d100
hex998088a71

41205402225 has 36 divisors (see below), whose sum is σ = 79480648156. Its totient is φ = 20285735040.

The previous prime is 41205402223. The next prime is 41205402229. The reversal of 41205402225 is 52220450214.

It can be written as a sum of positive squares in 6 ways, for example, as 2847396321 + 38358005904 = 53361^2 + 195852^2 .

It is not a de Polignac number, because 41205402225 - 21 = 41205402223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (41205402223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7040734 + ... + 7046583.

Almost surely, 241205402225 is an apocalyptic number.

41205402225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

41205402225 is a deficient number, since it is larger than the sum of its proper divisors (38275245931).

41205402225 is a wasteful number, since it uses less digits than its factorization.

41205402225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14087346 (or 14087338 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 41205402225 its reverse (52220450214), we get a palindrome (93425852439).

The spelling of 41205402225 in words is "forty-one billion, two hundred five million, four hundred two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 195 225 325 585 975 2925 14087317 42261951 70436585 126785853 183135121 211309755 352182925 549405363 633929265 915675605 1056548775 1648216089 2747026815 3169646325 4578378025 8241080445 13735134075 41205402225