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412104021440141 = 41101146576789793
BaseRepresentation
bin101110110110011100111000…
…1110011101111011010001101
32000001010202111211000212222102
41131230321301303233122031
5413003403013442041031
64020245550205324445
7152542350552414542
oct13554716163573215
92001122454025872
10412104021440141
1110a344374634048
123a27862ab66725
13148c431c937544
1473a9d263bcbc9
153299b883467cb
hex176ce71cef68d

412104021440141 has 16 divisors (see below), whose sum is σ = 426364245136368. Its totient is φ = 398044766208000.

The previous prime is 412104021440123. The next prime is 412104021440159. The reversal of 412104021440141 is 141044120401214.

It is an interprime number because it is at equal distance from previous prime (412104021440123) and next prime (412104021440159).

It can be written as a sum of positive squares in 8 ways, for example, as 117707317225 + 411986314122916 = 343085^2 + 20297446^2 .

It is a cyclic number.

It is not a de Polignac number, because 412104021440141 - 218 = 412104021177997 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412104021440191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57299741 + ... + 64089533.

It is an arithmetic number, because the mean of its divisors is an integer number (26647765321023).

Almost surely, 2412104021440141 is an apocalyptic number.

412104021440141 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

412104021440141 is a deficient number, since it is larger than the sum of its proper divisors (14260223696227).

412104021440141 is a wasteful number, since it uses less digits than its factorization.

412104021440141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6804592.

The product of its (nonzero) digits is 4096, while the sum is 29.

Adding to 412104021440141 its reverse (141044120401214), we get a palindrome (553148141841355).

The spelling of 412104021440141 in words is "four hundred twelve trillion, one hundred four billion, twenty-one million, four hundred forty thousand, one hundred forty-one".

Divisors: 1 41 101 4141 14657 600937 1480357 6789793 60694637 278381513 685769093 28116532813 99517996001 4080237836041 10051317596101 412104021440141