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40541204205 = 3256114769109
BaseRepresentation
bin100101110000011100…
…011010111011101101
310212122101102120002200
4211300130122323231
51131012022013310
630342510412113
72633435356425
oct456034327355
9125571376080
1040541204205
11162144a8847
127a35201039
133a91233338
141d6840b485
1510c428d9c0
hex97071aeed

40541204205 has 24 divisors (see below), whose sum is σ = 71423415960. Its totient is φ = 21267515520.

The previous prime is 40541204203. The next prime is 40541204227. The reversal of 40541204205 is 50240214504.

40541204205 is a `hidden beast` number, since 40 + 5 + 412 + 0 + 4 + 205 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3121009956 + 37420194249 = 55866^2 + 193443^2 .

It is not a de Polignac number, because 40541204205 - 21 = 40541204203 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40541204203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7381810 + ... + 7387299.

It is an arithmetic number, because the mean of its divisors is an integer number (2975975665).

Almost surely, 240541204205 is an apocalyptic number.

40541204205 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40541204205 is a deficient number, since it is larger than the sum of its proper divisors (30882211755).

40541204205 is a wasteful number, since it uses less digits than its factorization.

40541204205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14769181 (or 14769178 counting only the distinct ones).

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

Adding to 40541204205 its reverse (50240214504), we get a palindrome (90781418709).

The spelling of 40541204205 in words is "forty billion, five hundred forty-one million, two hundred four thousand, two hundred five".

Divisors: 1 3 5 9 15 45 61 183 305 549 915 2745 14769109 44307327 73845545 132921981 221536635 664609905 900915649 2702746947 4504578245 8108240841 13513734735 40541204205