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4130342003340 = 2232578293954221
BaseRepresentation
bin111100000110101011100…
…100010110001010001100
3112121212010122011111221100
4330012223210112022030
51020132420023101330
612441241455303100
7604256503520550
oct74065344261214
915555118144840
104130342003340
111352739423993
125685a321aa90
1323c6497b66b7
14103ca3dd3860
157268dd78060
hex3c1ab91628c

4130342003340 has 144 divisors (see below), whose sum is σ = 14335794607680. Its totient is φ = 942939118080.

The previous prime is 4130342003317. The next prime is 4130342003341. The reversal of 4130342003340 is 433002430314.

4130342003340 is a `hidden beast` number, since 4 + 1 + 303 + 4 + 20 + 0 + 334 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (4130342003341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 932571 + ... + 3021650.

It is an arithmetic number, because the mean of its divisors is an integer number (99554129220).

Almost surely, 24130342003340 is an apocalyptic number.

It is an amenable number.

4130342003340 is an abundant number, since it is smaller than the sum of its proper divisors (10205452604340).

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

4130342003340 is a wasteful number, since it uses less digits than its factorization.

4130342003340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3955072 (or 3955067 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 4130342003340 its reverse (433002430314), we get a palindrome (4563344433654).

The spelling of 4130342003340 in words is "four trillion, one hundred thirty billion, three hundred forty-two million, three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 829 1260 1658 2487 3316 4145 4974 5803 7461 8290 9948 11606 12435 14922 16580 17409 23212 24870 29015 29844 34818 37305 49740 52227 58030 69636 74610 87045 104454 116060 149220 174090 208908 261135 348180 522270 1044540 3954221 7908442 11862663 15816884 19771105 23725326 27679547 35587989 39542210 47450652 55359094 59313315 71175978 79084420 83038641 110718188 118626630 138397735 142351956 166077282 177939945 237253260 249115923 276795470 332154564 355879890 415193205 498231846 553590940 711759780 830386410 996463692 1245579615 1660772820 2491159230 3278049209 4982318460 6556098418 9834147627 13112196836 16390246045 19668295254 22946344463 29502442881 32780492090 39336590508 45892688926 49170738135 59004885762 65560984180 68839033389 91785377852 98341476270 114731722315 118009771524 137678066778 147512214405 196682952540 206517100167 229463444630 275356133556 295024428810 344195166945 413034200334 458926889260 590048857620 688390333890 826068400668 1032585500835 1376780667780 2065171001670 4130342003340