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41414110234240 = 27564709547241
BaseRepresentation
bin10010110101010011110010…
…10101000100011010000000
312102122011001112210222022111
421122221321111010122000
520412012044204443430
6224025213554145104
711503033154520652
oct1132517125043200
9172564045728274
1041414110234240
1112217697622177
12478a3b9882194
131a15445598363
14a3264ca946d2
154bc4219d6c2a
hex25aa79544680

41414110234240 has 32 divisors (see below), whose sum is σ = 99005607280260. Its totient is φ = 16565644093440.

The previous prime is 41414110234219. The next prime is 41414110234241. The reversal of 41414110234240 is 4243201141414.

It can be written as a sum of positive squares in 2 ways, for example, as 39260049134656 + 2154061099584 = 6265784^2 + 1467672^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (41414110234241) 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 3 ways as a sum of consecutive naturals, for example, 32354772981 + ... + 32354774260.

Almost surely, 241414110234240 is an apocalyptic number.

41414110234240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41414110234240 is an abundant number, since it is smaller than the sum of its proper divisors (57591497046020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41414110234240 is an equidigital number, since it uses as much as digits as its factorization.

41414110234240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64709547260 (or 64709547248 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

Adding to 41414110234240 its reverse (4243201141414), we get a palindrome (45657311375654).

The spelling of 41414110234240 in words is "forty-one trillion, four hundred fourteen billion, one hundred ten million, two hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 64709547241 129419094482 258838188964 323547736205 517676377928 647095472410 1035352755856 1294190944820 2070705511712 2588381889640 4141411023424 5176763779280 8282822046848 10353527558560 20707055117120 41414110234240