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413112400401104 = 2471318936202921
BaseRepresentation
bin101110111101110010011100…
…1111000001101001011010000
32000011201011022110221122001222
41131323210321320031023100
5413121413144000313404
64022341114454144212
7153005246252231315
oct13573447170151320
92004634273848058
10413112400401104
1110a6a2a92232368
123a3bbb4b052068
1314968441acc441
147402a65578d0c
1532b60054b2dbe
hex177b939e0d2d0

413112400401104 has 20 divisors (see below), whose sum is σ = 800406420176580. Its totient is φ = 206555904871680.

The previous prime is 413112400401079. The next prime is 413112400401119. The reversal of 413112400401104 is 401104004211314.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 305470696398400 + 107641704002704 = 17477720^2 + 10375052^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6690437 + ... + 29512484.

It is an arithmetic number, because the mean of its divisors is an integer number (40020321008829).

Almost surely, 2413112400401104 is an apocalyptic number.

It is an amenable number.

413112400401104 is a deficient number, since it is larger than the sum of its proper divisors (387294019775476).

413112400401104 is a wasteful number, since it uses less digits than its factorization.

413112400401104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36916118 (or 36916112 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 413112400401104 its reverse (401104004211314), we get a palindrome (814216404612418).

The spelling of 413112400401104 in words is "four hundred thirteen trillion, one hundred twelve billion, four hundred million, four hundred one thousand, one hundred four".

Divisors: 1 2 4 8 16 713189 1426378 2852756 5705512 11411024 36202921 72405842 144811684 289623368 579246736 25819525025069 51639050050138 103278100100276 206556200200552 413112400401104