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201044441344 = 281097204861
BaseRepresentation
bin1011101100111100101…
…1101011100100000000
3201012221010120210200011
42323033023223210000
511243214334110334
6232205240034304
720345032361335
oct2731713534400
9635833523604
10201044441344
117829838946a
1232b69462994
1315c5c8195c6
149a32aba98c
155369ed3564
hex2ecf2eb900

201044441344 has 36 divisors (see below), whose sum is σ = 404985293020. Its totient is φ = 99599984640.

The previous prime is 201044441333. The next prime is 201044441357. The reversal of 201044441344 is 443144440102.

201044441344 is digitally balanced in base 2, because in such base 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 61981081600 + 139063359744 = 248960^2 + 372912^2 .

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 3 ways as a sum of consecutive naturals, for example, 3574527 + ... + 3630334.

Almost surely, 2201044441344 is an apocalyptic number.

It is an amenable number.

201044441344 is an abundant number, since it is smaller than the sum of its proper divisors (203940851676).

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

201044441344 is an equidigital number, since it uses as much as digits as its factorization.

201044441344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7204986 (or 7204972 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 201044441344 its reverse (443144440102), we get a palindrome (644188881446).

The spelling of 201044441344 in words is "two hundred one billion, forty-four million, four hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 109 128 218 256 436 872 1744 3488 6976 13952 27904 7204861 14409722 28819444 57638888 115277776 230555552 461111104 785329849 922222208 1570659698 1844444416 3141319396 6282638792 12565277584 25130555168 50261110336 100522220672 201044441344