Search a number
-
+
344241330132003 = 32941922669416579
BaseRepresentation
bin100111001000101011110111…
…0001100110001010000100011
31200010212011001011210020011220
41032101113232030301100203
5330110022221003211003
63220050141152510123
7132336421033033503
oct11621275614612043
91603764034706156
10344241330132003
119a75aa23563247
1232738338b4b343
1311a10a835c4785
146101525425a03
1529be791135353
hex13915ee331423

344241330132003 has 32 divisors (see below), whose sum is σ = 475970977440000. Its totient is φ = 221041512354432.

The previous prime is 344241330131983. The next prime is 344241330132031. The reversal of 344241330132003 is 300231033142443.

It is a happy number.

It is not a de Polignac number, because 344241330132003 - 240 = 343141818504227 is a prime.

It is not an unprimeable number, because it can be changed into a prime (344241330132043) 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, 826144768 + ... + 826561346.

It is an arithmetic number, because the mean of its divisors is an integer number (14874093045000).

Almost surely, 2344241330132003 is an apocalyptic number.

344241330132003 is a deficient number, since it is larger than the sum of its proper divisors (131729647307997).

344241330132003 is a wasteful number, since it uses less digits than its factorization.

344241330132003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439699.

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 344241330132003 its reverse (300231033142443), we get a palindrome (644472363274446).

The spelling of 344241330132003 in words is "three hundred forty-four trillion, two hundred forty-one billion, three hundred thirty million, one hundred thirty-two thousand, three".

Divisors: 1 3 29 87 419 1257 12151 22669 36453 68007 416579 657401 1249737 1972203 9498311 12080791 28494933 36242373 174546601 275451019 523639803 826353057 5061851429 9443429351 15185554287 28330288053 273859451179 821578353537 3956796898069 11870390694207 114747110044001 344241330132003