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212340212142344 = 2311131912234357807
BaseRepresentation
bin110000010001111101001110…
…111010101001000100001000
31000211211112012110212200012022
4300101331032322221010020
5210312440223302023334
62031335425150304012
762504034255662246
oct6021751672510410
91024745173780168
10212340212142344
1161726a84069140
121b994b574b8008
1391637997a8920
143a6146d175796
1519836c9aac82e
hexc11f4eea9108

212340212142344 has 128 divisors (see below), whose sum is σ = 472299928289280. Its totient is φ = 88229883398400.

The previous prime is 212340212142299. The next prime is 212340212142397. The reversal of 212340212142344 is 443241212043212.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46547489 + ... + 50905295.

It is an arithmetic number, because the mean of its divisors is an integer number (3689843189760).

Almost surely, 2212340212142344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212340212142344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236149964144640).

212340212142344 is an abundant number, since it is smaller than the sum of its proper divisors (259959716146936).

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

212340212142344 is a wasteful number, since it uses less digits than its factorization.

212340212142344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4358251 (or 4358247 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 35.

Adding to 212340212142344 its reverse (443241212043212), we get a palindrome (655581424185556).

The spelling of 212340212142344 in words is "two hundred twelve trillion, three hundred forty billion, two hundred twelve million, one hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 191 223 286 382 446 572 764 892 1144 1528 1784 2101 2453 2483 2899 4202 4906 4966 5798 8404 9812 9932 11596 16808 19624 19864 23192 27313 31889 42593 54626 63778 85186 109252 127556 170372 218504 255112 340744 468523 553709 937046 1107418 1874092 2214836 3748184 4357807 4429672 6090799 8715614 12181598 17431228 24363196 34862456 47935877 48726392 56651491 95871754 113302982 191743508 226605964 383487016 453211928 623166401 832341137 971790961 1246332802 1664682274 1943581922 2492665604 3329364548 3887163844 4985331208 6658729096 7774327688 9155752507 10689700571 10820434781 12633282493 18311505014 21379401142 21640869562 25266564986 36623010028 42758802284 43281739124 50533129972 73246020056 85517604568 86563478248 101066259944 119024782591 138966107423 185612073551 238049565182 277932214846 371224147102 476099130364 555864429692 742448294204 952198260728 1111728859384 1484896588408 2041732809061 2412956956163 4083465618122 4825913912326 8166931236244 9651827824652 16333862472488 19303655649304 26542526517793 53085053035586 106170106071172 212340212142344