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2341130014440 = 2332572132717121
BaseRepresentation
bin100010000100010110001…
…110010000111011101000
322021210212101011002121100
4202010112032100323220
5301324113240430230
64551300021041400
7331066245533100
oct42042616207350
98253771132540
102341130014440
1182295a950758
12319887856260
1313c9c95a4919
14814502b2200
1540d71487660
hex22116390ee8

2341130014440 has 144 divisors (see below), whose sum is σ = 8850904866180. Its totient is φ = 535115427840.

The previous prime is 2341130014411. The next prime is 2341130014453. The reversal of 2341130014440 is 444100311432.

2341130014440 is a `hidden beast` number, since 2 + 341 + 1 + 300 + 14 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2053964783556 + 287165230884 = 1433166^2 + 535878^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 66340921 + ... + 66376200.

Almost surely, 22341130014440 is an apocalyptic number.

2341130014440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2341130014440 is an abundant number, since it is smaller than the sum of its proper divisors (6509774851740).

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

2341130014440 is a wasteful number, since it uses less digits than its factorization.

2341130014440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132717152 (or 132717138 counting only the distinct ones).

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

Adding to 2341130014440 its reverse (444100311432), we get a palindrome (2785230325872).

The spelling of 2341130014440 in words is "two trillion, three hundred forty-one billion, one hundred thirty million, fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 49 56 60 63 70 72 84 90 98 105 120 126 140 147 168 180 196 210 245 252 280 294 315 360 392 420 441 490 504 588 630 735 840 882 980 1176 1260 1470 1764 1960 2205 2520 2940 3528 4410 5880 8820 17640 132717121 265434242 398151363 530868484 663585605 796302726 929019847 1061736968 1194454089 1327171210 1592605452 1858039694 1990756815 2388908178 2654342420 2787059541 3185210904 3716079388 3981513630 4645099235 4777816356 5308684840 5574119082 5972270445 6503138929 7432158776 7963027260 8361178623 9290198470 9555632712 11148238164 11944540890 13006277858 13935297705 15926054520 16722357246 18580396940 19509416787 22296476328 23889081780 26012555716 27870595410 32515694645 33444714492 37160793880 39018833574 41805893115 47778163560 52025111432 55741190820 58528250361 65031389290 66889428984 78037667148 83611786230 97547083935 111482381640 117056500722 130062778580 156075334296 167223572460 195094167870 234113001444 260125557160 292641251805 334447144920 390188335740 468226002888 585282503610 780376671480 1170565007220 2341130014440