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340100230012242 = 23733111217436627
BaseRepresentation
bin100110101010100011100000…
…1011001011101110101010010
31122121012021010210022202220020
41031111013001121131311102
5324034200232340342432
63203155515545324310
7131431300514556000
oct11525070131356522
91577167123282806
10340100230012242
11994037744a1257
1232189852a96696
13117a0411043a1b
145ddad20727a70
15294bbc2a9c22c
hex13551c165dd52

340100230012242 has 128 divisors (see below), whose sum is σ = 796443005030400. Its totient is φ = 96779235732480.

The previous prime is 340100230012211. The next prime is 340100230012247. The reversal of 340100230012242 is 242210032001043.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (340100230012247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 778707933 + ... + 779144559.

It is an arithmetic number, because the mean of its divisors is an integer number (6222210976800).

Almost surely, 2340100230012242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340100230012242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398221502515200).

340100230012242 is an abundant number, since it is smaller than the sum of its proper divisors (456342775018158).

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

340100230012242 is a wasteful number, since it uses less digits than its factorization.

340100230012242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438181 (or 438167 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 340100230012242 its reverse (242210032001043), we get a palindrome (582310262013285).

The spelling of 340100230012242 in words is "three hundred forty trillion, one hundred billion, two hundred thirty million, twelve thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 311 343 622 686 933 1029 1217 1866 2058 2177 2434 3651 4354 6531 7302 8519 13062 15239 17038 25557 30478 45717 51114 59633 91434 106673 119266 178899 213346 320019 357798 378487 417431 436627 640038 756974 834862 873254 1135461 1252293 1309881 2270922 2504586 2619762 2649409 3056389 5298818 6112778 7948227 9169167 15896454 18338334 18545863 21394723 37091726 42789446 55637589 64184169 111275178 128368338 129821041 135790997 149763061 259642082 271581994 299526122 389463123 407372991 449289183 531375059 778926246 814745982 898578366 950536979 1062750118 1594125177 1901073958 2851610937 3188250354 3719625413 5703221874 6653758853 7439250826 11158876239 13307517706 19961276559 22317752478 26037377891 39922553118 46576311971 52074755782 78112133673 93152623942 139728935913 156224267346 165257643349 182261645237 279457871826 330515286698 364523290474 495772930047 546784935711 991545860094 1093569871422 1156803503443 2313607006886 3470410510329 6940821020658 8097624524101 16195249048202 24292873572303 48585747144606 56683371668707 113366743337414 170050115006121 340100230012242