Search a number
-
+
344434424434443 = 3371822404362087
BaseRepresentation
bin100111001010000101110001…
…1100001000100111100001011
31200011112121110020210010112000
41032110023203201010330023
5330121203200123400233
63220314553513522043
7132356365061363460
oct11624134341047413
91604477406703460
10344434424434443
119a82490122a682
1232769847a13323
1311a26047008075
14610aa022d7667
1529c47e31bbd13
hex13942e3844f0b

344434424434443 has 16 divisors (see below), whose sum is σ = 583169395868160. Its totient is φ = 196819671105288.

The previous prime is 344434424434439. The next prime is 344434424434511.

344434424434443 is a `hidden beast` number, since 3 + 44 + 43 + 4 + 42 + 443 + 44 + 43 = 666.

344434424434443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 344434424434443 - 22 = 344434424434439 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 344434424434443.

It is not an unprimeable number, because it can be changed into a prime (344434424434403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 911202180855 + ... + 911202181232.

It is an arithmetic number, because the mean of its divisors is an integer number (36448087241760).

Almost surely, 2344434424434443 is an apocalyptic number.

344434424434443 is a deficient number, since it is larger than the sum of its proper divisors (238734971433717).

344434424434443 is a wasteful number, since it uses less digits than its factorization.

344434424434443 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1822404362103 (or 1822404362097 counting only the distinct ones).

The product of its digits is 169869312, while the sum is 54.

The spelling of 344434424434443 in words is "three hundred forty-four trillion, four hundred thirty-four billion, four hundred twenty-four million, four hundred thirty-four thousand, four hundred forty-three".

Divisors: 1 3 7 9 21 27 63 189 1822404362087 5467213086261 12756830534609 16401639258783 38270491603827 49204917776349 114811474811481 344434424434443