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204422440132404 = 223213436800085753
BaseRepresentation
bin101110011110101111001110…
…111011011001111100110100
3222210210121001022221222010100
4232132233032323121330310
5203243224124133214104
62002434212245354100
761026014430231324
oct5636571673317464
9883717038858110
10204422440132404
115a15408519998a
121ab16531708930
138a0ac5179b0b0
14386a155517284
15189776ba11139
hexb9ebceed9f34

204422440132404 has 36 divisors (see below), whose sum is σ = 556483309250596. Its totient is φ = 62899212348288.

The previous prime is 204422440132381. The next prime is 204422440132423. The reversal of 204422440132404 is 404231044224402.

204422440132404 is a `hidden beast` number, since 2 + 0 + 4 + 4 + 2 + 2 + 4 + 401 + 3 + 240 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 115191707907600 + 89230732224804 = 10732740^2 + 9446202^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 218400042409 + ... + 218400043344.

Almost surely, 2204422440132404 is an apocalyptic number.

It is an amenable number.

204422440132404 is an abundant number, since it is smaller than the sum of its proper divisors (352060869118192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

204422440132404 is a wasteful number, since it uses less digits than its factorization.

204422440132404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436800085776 (or 436800085771 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 204422440132404 its reverse (404231044224402), we get a palindrome (608653484356806).

The spelling of 204422440132404 in words is "two hundred four trillion, four hundred twenty-two billion, four hundred forty million, one hundred thirty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 436800085753 873600171506 1310400257259 1747200343012 2620800514518 3931200771777 5241601029036 5678401114789 7862401543554 11356802229578 15724803087108 17035203344367 22713604459156 34070406688734 51105610033101 68140813377468 102211220066202 204422440132404