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344114042135343 = 32326335353718373
BaseRepresentation
bin100111000111110000100101…
…1001111100110001100101111
31200010101222111020222000202020
41032033201023033212030233
5330100431024241312333
63215511450353201223
7132324263516644434
oct11617411317461457
91603358436860666
10344114042135343
119a710a44829397
1232717734560213
1311a01a7954a05c
1460d92cc1d5b8b
1529bb2e14283b3
hex138f84b3e632f

344114042135343 has 32 divisors (see below), whose sum is σ = 481949218612224. Its totient is φ = 217981418130432.

The previous prime is 344114042135309. The next prime is 344114042135419. The reversal of 344114042135343 is 343531240411443.

It is not a de Polignac number, because 344114042135343 - 210 = 344114042134319 is a prime.

It is a super-2 number, since 2×3441140421353432 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 344114042135295 and 344114042135304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344114042135443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20453296 + ... + 33265077.

It is an arithmetic number, because the mean of its divisors is an integer number (15060913081632).

Almost surely, 2344114042135343 is an apocalyptic number.

344114042135343 is a deficient number, since it is larger than the sum of its proper divisors (137835176476881).

344114042135343 is a wasteful number, since it uses less digits than its factorization.

344114042135343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53719015.

The product of its (nonzero) digits is 829440, while the sum is 42.

Adding to 344114042135343 its reverse (343531240411443), we get a palindrome (687645282546786).

The spelling of 344114042135343 in words is "three hundred forty-four trillion, one hundred fourteen billion, forty-two million, one hundred thirty-five thousand, three hundred forty-three".

Divisors: 1 3 23 69 263 353 789 1059 6049 8119 18147 24357 92839 278517 2135297 6405891 53718373 161155119 1235522579 3706567737 14127932099 18962585669 42383796297 56887757007 324942438277 436139470387 974827314831 1308418411161 4987160030947 14961480092841 114704680711781 344114042135343