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2323412114232 = 2331141237190533
BaseRepresentation
bin100001110011110110001…
…001110101101100111000
322020010010120210111202010
4201303312021311230320
5301031322000123412
64535205533005520
7326601214055256
oct41636611655470
98203116714663
102323412114232
11816398627020
123163620238a0
1313b1349456c1
148064d1195d6
1540685c5433c
hex21cf6275b38

2323412114232 has 128 divisors (see below), whose sum is σ = 6493938635520. Its totient is φ = 686594688000.

The previous prime is 2323412114209. The next prime is 2323412114251. The reversal of 2323412114232 is 2324112143232.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2323412114232.

It is a congruent number.

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, 25618438 + ... + 25708970.

It is an arithmetic number, because the mean of its divisors is an integer number (50733895590).

Almost surely, 22323412114232 is an apocalyptic number.

2323412114232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2323412114232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3246969317760).

2323412114232 is an abundant number, since it is smaller than the sum of its proper divisors (4170526521288).

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

2323412114232 is a wasteful number, since it uses less digits than its factorization.

2323412114232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92965 (or 92961 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

Adding to 2323412114232 its reverse (2324112143232), we get a palindrome (4647524257464).

The spelling of 2323412114232 in words is "two trillion, three hundred twenty-three billion, four hundred twelve million, one hundred fourteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 41 44 66 82 88 123 132 164 246 264 328 451 492 902 984 1353 1804 2371 2706 3608 4742 5412 7113 9484 10824 14226 18968 26081 28452 52162 56904 78243 90533 97211 104324 156486 181066 194422 208648 271599 291633 312972 362132 388844 543198 583266 625944 724264 777688 995863 1069321 1086396 1166532 1991726 2138642 2172792 2333064 2987589 3207963 3711853 3983452 4277284 5975178 6415926 7423706 7966904 8554568 11135559 11950356 12831852 14847412 22271118 23900712 25663704 29694824 40830383 44542236 81660766 89084472 122491149 163321532 214653743 244982298 326643064 429307486 489964596 643961229 858614972 979929192 1287922458 1717229944 2361191173 2575844916 4722382346 5151689832 7083573519 8800803463 9444764692 14167147038 17601606926 18889529384 26402410389 28334294076 35203213852 52804820778 56668588152 70406427704 96808838093 105609641556 193617676186 211219283112 290426514279 387235352372 580853028558 774470704744 1161706057116 2323412114232