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324202141341 = 3213411732411621
BaseRepresentation
bin1001011011110111111…
…01000001011010011101
31010222211012112012020100
410231323331001122131
520302431222010331
6404534133011313
732265013506231
oct4557375013235
91128735465210
10324202141341
11115547725301
12529ba783b39
1324758c81ac0
141199755a5c1
1586772cdae6
hex4b7bf4169d

324202141341 has 96 divisors (see below), whose sum is σ = 522078901344. Its totient is φ = 192595968000.

The previous prime is 324202141339. The next prime is 324202141397. The reversal of 324202141341 is 143141202423.

324202141341 is a `hidden beast` number, since 3 + 2 + 4 + 202 + 1 + 413 + 41 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 39424088025 + 284778053316 = 198555^2 + 533646^2 .

It is not a de Polignac number, because 324202141341 - 21 = 324202141339 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (324202141331) 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 95 ways as a sum of consecutive naturals, for example, 200000511 + ... + 200002131.

It is an arithmetic number, because the mean of its divisors is an integer number (5438321889).

Almost surely, 2324202141341 is an apocalyptic number.

It is an amenable number.

324202141341 is a deficient number, since it is larger than the sum of its proper divisors (197876760003).

324202141341 is a wasteful number, since it uses less digits than its factorization.

324202141341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2095 (or 2092 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 324202141341 its reverse (143141202423), we get a palindrome (467343343764).

The spelling of 324202141341 in words is "three hundred twenty-four billion, two hundred two million, one hundred forty-one thousand, three hundred forty-one".

Divisors: 1 3 9 13 39 41 117 123 173 241 369 519 533 723 1557 1599 1621 2169 2249 3133 4797 4863 6747 7093 9399 9881 14589 20241 21073 21279 28197 29643 41693 63219 63837 66461 88929 92209 125079 128453 189657 199383 276627 280433 375237 385359 390661 542009 598149 829881 841299 863993 1156077 1171983 1626027 1709413 2523897 2591979 3515949 3645629 4878081 5078593 5128239 7775937 10936887 11497753 15235779 15384717 16017101 22222369 32810661 34493259 45707337 48051303 66667107 67584353 103479777 144153909 149470789 200001321 202753059 208222313 448412367 608259177 624666939 878596589 1345237101 1874000817 2635789767 2770958473 7907369301 8312875419 24938626257 36022460149 108067380447 324202141341