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413221402031104 = 210458538800657
BaseRepresentation
bin101110111110100101001101…
…0111000011011010000000000
32000012002120122222202011021101
41131331022122320123100000
5413130204412404443404
64022503142541304144
7153016155361630132
oct13575123270332000
92005076588664241
10413221402031104
1110a7352378722a7
123a4190ab565054
13149757c3510064
147408045d17052
1532b8c84aec2a4
hex177d29ae1b400

413221402031104 has 44 divisors (see below), whose sum is σ = 826057376344804. Its totient is φ = 206606171602944.

The previous prime is 413221402031101. The next prime is 413221402031143. The reversal of 413221402031104 is 401130204122314.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 283779629977600 + 129441772053504 = 16845760^2 + 11377248^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413221402031101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42553144 + ... + 51353800.

Almost surely, 2413221402031104 is an apocalyptic number.

It is an amenable number.

413221402031104 is a deficient number, since it is larger than the sum of its proper divisors (412835974313700).

413221402031104 is an equidigital number, since it uses as much as digits as its factorization.

413221402031104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8846530 (or 8846512 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 413221402031104 its reverse (401130204122314), we get a palindrome (814351606153418).

The spelling of 413221402031104 in words is "four hundred thirteen trillion, two hundred twenty-one billion, four hundred two million, thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 45853 91706 183412 366824 733648 1467296 2934592 5869184 8800657 11738368 17601314 23476736 35202628 46953472 70405256 140810512 281621024 563242048 1126484096 2252968192 4505936384 9011872768 403536525421 807073050842 1614146101684 3228292203368 6456584406736 12913168813472 25826337626944 51652675253888 103305350507776 206610701015552 413221402031104