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40540105422441 = 3217264968009297
BaseRepresentation
bin10010011011110111110101…
…00101010011011001101001
312022112121002122120021110100
421031323322211103121221
520303202113442004231
6222115511201540013
711352632414302062
oct1115737245233151
9168477078507410
1040540105422441
1111a0aa646a5a99
124668b3b344609
131980bb9589721
14a02219cad569
154a481b70d1e6
hex24defa953669

40540105422441 has 12 divisors (see below), whose sum is σ = 62002514175732. Its totient is φ = 25436928892416.

The previous prime is 40540105422413. The next prime is 40540105422469. The reversal of 40540105422441 is 14422450104504.

40540105422441 is a `hidden beast` number, since 4 + 0 + 5 + 40 + 10 + 542 + 24 + 41 = 666.

It is an interprime number because it is at equal distance from previous prime (40540105422413) and next prime (40540105422469).

It can be written as a sum of positive squares in 2 ways, for example, as 18122049000000 + 22418056422441 = 4257000^2 + 4734771^2 .

It is not a de Polignac number, because 40540105422441 - 242 = 36142058911337 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 40540105422396 and 40540105422405.

It is not an unprimeable number, because it can be changed into a prime (40540105422241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 132484004496 + ... + 132484004801.

It is an arithmetic number, because the mean of its divisors is an integer number (5166876181311).

Almost surely, 240540105422441 is an apocalyptic number.

It is an amenable number.

40540105422441 is a deficient number, since it is larger than the sum of its proper divisors (21462408753291).

40540105422441 is a wasteful number, since it uses less digits than its factorization.

40540105422441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264968009320 (or 264968009317 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

Adding to 40540105422441 its reverse (14422450104504), we get a palindrome (54962555526945).

The spelling of 40540105422441 in words is "forty trillion, five hundred forty billion, one hundred five million, four hundred twenty-two thousand, four hundred forty-one".

Divisors: 1 3 9 17 51 153 264968009297 794904027891 2384712083673 4504456158049 13513368474147 40540105422441