Search a number
-
+
344323410041303 = 71129587262687693
BaseRepresentation
bin100111001001010010000101…
…0100010110001100111010111
31200011010222220110121122100122
41032102210022202301213113
5330112343320432310203
63220151554010102155
7132345355041534560
oct11622441242614727
91604128813548318
10344323410041303
119a791813525a30
123275022541a95b
1311a18734601944
1461054b04db167
1529c1996eed538
hex139290a8b19d7

344323410041303 has 32 divisors (see below), whose sum is σ = 444845848527360. Its totient is φ = 258610779020160.

The previous prime is 344323410041249. The next prime is 344323410041309. The reversal of 344323410041303 is 303140014323443.

It is not a de Polignac number, because 344323410041303 - 228 = 344323141605847 is a prime.

It is a super-2 number, since 2×3443234100413032 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344323410041309) 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 31 ways as a sum of consecutive naturals, for example, 130033076 + ... + 132654617.

It is an arithmetic number, because the mean of its divisors is an integer number (13901432766480).

Almost surely, 2344323410041303 is an apocalyptic number.

344323410041303 is a deficient number, since it is larger than the sum of its proper divisors (100522438486057).

344323410041303 is a wasteful number, since it uses less digits than its factorization.

344323410041303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262688327.

The product of its (nonzero) digits is 124416, while the sum is 35.

Adding to 344323410041303 its reverse (303140014323443), we get a palindrome (647463424364746).

The spelling of 344323410041303 in words is "three hundred forty-four trillion, three hundred twenty-three billion, four hundred ten million, forty-one thousand, three hundred three".

Divisors: 1 7 11 29 77 203 319 587 2233 4109 6457 17023 45199 119161 187253 1310771 262687693 1838813851 2889564623 7617943097 20226952361 53325601679 83797374067 154197675791 586581618469 1079383730537 1696174433701 4471732597939 11873221035907 31302128185573 49189058577329 344323410041303