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201432442330314 = 232133202732687777
BaseRepresentation
bin101101110011001110100101…
…001010111101110011001010
3222102012202100020120222202200
4231303032211022331303022
5202400232120214032224
61552224441515541030
760300004462242126
oct5563164512756312
9872182306528680
10201432442330314
11592010233a9578
121a712b5945a776
138851cc8247bc0
1437a554cb96586
151844ac04615c9
hexb733a52bdcca

201432442330314 has 48 divisors (see below), whose sum is σ = 470010674499912. Its totient is φ = 61978996445184.

The previous prime is 201432442330253. The next prime is 201432442330367. The reversal of 201432442330314 is 413033244234102.

201432442330314 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 3 + 2 + 4 + 4 + 2 + 330 + 314 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 126860012136225 + 74572430194089 = 11263215^2 + 8635533^2 .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73599994 + ... + 76287770.

Almost surely, 2201432442330314 is an apocalyptic number.

201432442330314 is an abundant number, since it is smaller than the sum of its proper divisors (268578232169598).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201432442330314 is a wasteful number, since it uses less digits than its factorization.

201432442330314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3008071 (or 3008068 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 201432442330314 its reverse (413033244234102), we get a palindrome (614465686564416).

The spelling of 201432442330314 in words is "two hundred one trillion, four hundred thirty-two billion, four hundred forty-two million, three hundred thirty thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 320273 640546 960819 1921638 2687777 2882457 4163549 5375554 5764914 8063331 8327098 12490647 16126662 24189993 24981294 34941101 37471941 48379986 69882202 74943882 104823303 209646606 314469909 628939818 860822403121 1721644806242 2582467209363 5164934418726 7747401628089 11190691240573 15494803256178 22381382481146 33572073721719 67144147443438 100716221165157 201432442330314