Search a number
-
+
343411404041321 = 711229113123724259
BaseRepresentation
bin100111000010101001011001…
…0101111111110110001101001
31200000220210212012102120100022
41032011102302233332301221
5330002423023413310241
63214213004320250225
7132222440504460620
oct11605226257766151
91600823765376308
10343411404041321
119a46aa5a956700
1232623520470975
1311980730690045
1460b32b47b46b7
1529a7dba96854b
hex13854b2bfec69

343411404041321 has 48 divisors (see below), whose sum is σ = 450217735228800. Its totient is φ = 256079520238080.

The previous prime is 343411404041317. The next prime is 343411404041353. The reversal of 343411404041321 is 123140404114343.

It is not a de Polignac number, because 343411404041321 - 22 = 343411404041317 is a prime.

It is not an unprimeable number, because it can be changed into a prime (343411404041021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59086511 + ... + 64637748.

It is an arithmetic number, because the mean of its divisors is an integer number (9379536150600).

Almost surely, 2343411404041321 is an apocalyptic number.

It is an amenable number.

343411404041321 is a deficient number, since it is larger than the sum of its proper divisors (106806331187479).

343411404041321 is a wasteful number, since it uses less digits than its factorization.

343411404041321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123724430 (or 123724419 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

Adding to 343411404041321 its reverse (123140404114343), we get a palindrome (466551808155664).

The spelling of 343411404041321 in words is "three hundred forty-three trillion, four hundred eleven billion, four hundred four million, forty-one thousand, three hundred twenty-one".

Divisors: 1 7 11 29 77 113 121 203 319 791 847 1243 2233 3277 3509 8701 13673 22939 24563 36047 95711 252329 396517 2775619 123724259 866069813 1360966849 3588003511 9526767943 13980841267 14970635339 25116024577 39468038621 97865888869 104794447373 153789253937 276276270347 405444396743 434148424831 1076524777559 1691681793307 2838110777201 3039038973817 4459888364173 11841772553149 31219218549211 49058772005903 343411404041321