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41146231540561 = 7311631317188321
BaseRepresentation
bin10010101101100000110101…
…00000111100101101010001
312101200112121121210101011021
421112300122200330231101
520343114440233244221
6223302152352115441
711444500655300560
oct1126603240745521
9171615547711137
1041146231540561
111212402302a824
1247464b9835b81
1319c60c446c5a4
14a236b99d1bd7
154b54942c7041
hex256c1a83cb51

41146231540561 has 32 divisors (see below), whose sum is σ = 48843236089856. Its totient is φ = 33918165504000.

The previous prime is 41146231540493. The next prime is 41146231540567. The reversal of 41146231540561 is 16504513264114.

It is a cyclic number.

It is not a de Polignac number, because 41146231540561 - 241 = 38947208285009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41146231540567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 465827281 + ... + 465915601.

It is an arithmetic number, because the mean of its divisors is an integer number (1526351127808).

Almost surely, 241146231540561 is an apocalyptic number.

It is an amenable number.

41146231540561 is a deficient number, since it is larger than the sum of its proper divisors (7697004549295).

41146231540561 is a wasteful number, since it uses less digits than its factorization.

41146231540561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101693.

The product of its (nonzero) digits is 345600, while the sum is 43.

The spelling of 41146231540561 in words is "forty-one trillion, one hundred forty-six billion, two hundred thirty-one million, five hundred forty thousand, five hundred sixty-one".

Divisors: 1 7 31 163 217 1141 5053 13171 35371 88321 92197 408301 618247 2146873 2737951 2858107 14396323 15028111 19165657 66553063 100774261 446286013 465871441 1163275891 3124002091 8142931237 36061552621 189613970233 252430868347 1327297791631 5878033077223 41146231540561