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411421141124114 = 211213185719977583
BaseRepresentation
bin101110110001011110111001…
…0111110000100010000010010
31222221201110212201020112200212
41131202331302332010100102
5412411210444111432424
64015004132450244122
7152442124261456232
oct13542756276042022
91887643781215625
10411421141124114
1110a1007a948a400
123a18820b886642
1314874b02206b24
147384c64a2dcc2
15328701c20810e
hex1762f72f84412

411421141124114 has 96 divisors (see below), whose sum is σ = 684743507255808. Its totient is φ = 185248252217600.

The previous prime is 411421141124029. The next prime is 411421141124131.

411421141124114 is nontrivially palindromic in base 10.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54255718367 + ... + 54255725949.

It is an arithmetic number, because the mean of its divisors is an integer number (7132744867248).

Almost surely, 2411421141124114 is an apocalyptic number.

411421141124114 is a deficient number, since it is larger than the sum of its proper divisors (273322366131694).

411421141124114 is a wasteful number, since it uses less digits than its factorization.

411421141124114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10592 (or 10581 counting only the distinct ones).

The product of its digits is 4096, while the sum is 32.

The spelling of 411421141124114 in words is "four hundred eleven trillion, four hundred twenty-one billion, one hundred forty-one million, one hundred twenty-four thousand, one hundred fourteen".

Divisors: 1 2 11 22 121 131 242 262 857 1441 1714 1997 2882 3994 7583 9427 15166 15851 18854 21967 31702 43934 83413 103697 112267 166826 207394 224534 241637 261607 483274 523214 917543 993373 1234937 1711429 1835086 1986746 2469874 2877677 3422858 5755354 6498631 10927103 12997262 13584307 15143251 18825719 21854206 27168614 30286502 31654447 37651438 63308894 71484941 120198133 142969882 166575761 207082909 224197199 240396266 333151522 414165818 448394398 786334351 851320661 1572668702 1702641322 1832333371 1983765881 2466169189 3664666742 3967531762 4932338378 9364527271 12977766107 18729054542 21821424691 25955532214 27127861079 43642849382 54255722158 103009799981 142755427177 206019599962 240035671601 285510854354 480071343202 1570309698947 1700087360017 3140619397894 3400174720034 18700960960187 37401921920374 205710570562057 411421141124114