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201044431044 = 223233716571417
BaseRepresentation
bin1011101100111100101…
…1101001000011000100
3201012221010120021112200
42323033023221003010
511243214333243134
6232205235514500
720345032316322
oct2731713510304
9635833507480
10201044431044
1178298381756
1232b69458a30
1315c5c814a02
149a32ab6d12
155369ed0499
hex2ecf2e90c4

201044431044 has 36 divisors (see below), whose sum is σ = 509703674844. Its totient is φ = 66815949312.

The previous prime is 201044431039. The next prime is 201044431073. The reversal of 201044431044 is 440134440102.

201044431044 is a `hidden beast` number, since 201 + 0 + 4 + 443 + 10 + 4 + 4 = 666.

201044431044 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 94272333444 + 106772097600 = 307038^2 + 326760^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 201044430999 and 201044431017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8273577 + ... + 8297840.

Almost surely, 2201044431044 is an apocalyptic number.

It is an amenable number.

201044431044 is an abundant number, since it is smaller than the sum of its proper divisors (308659243800).

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

201044431044 is a wasteful number, since it uses less digits than its factorization.

201044431044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16571764 (or 16571759 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 201044431044 its reverse (440134440102), we get a palindrome (641178871146).

The spelling of 201044431044 in words is "two hundred one billion, forty-four million, four hundred thirty-one thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 337 674 1011 1348 2022 3033 4044 6066 12132 16571417 33142834 49714251 66285668 99428502 149142753 198857004 298285506 596571012 5584567529 11169135058 16753702587 22338270116 33507405174 50261107761 67014810348 100522215522 201044431044