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12326205181444 = 22711131933732719
BaseRepresentation
bin1011001101011110101100…
…0101001100111000000100
31121122101002102200021111021
42303113223011030320010
53103423032011301234
642114325215120524
72411352566214640
oct263275305147004
947571072607437
1012326205181444
113a22572532850
121470a99213144
136b54826416cb
1430883d185c20
15165975eb29b4
hexb35eb14ce04

12326205181444 has 96 divisors (see below), whose sum is σ = 27102563389440. Its totient is φ = 4765101868800.

The previous prime is 12326205181403. The next prime is 12326205181463. The reversal of 12326205181444 is 44418150262321.

It is a self number, because there is not a number n which added to its sum of digits gives 12326205181444.

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, 376712917 + ... + 376745635.

It is an arithmetic number, because the mean of its divisors is an integer number (282318368640).

Almost surely, 212326205181444 is an apocalyptic number.

12326205181444 is a gapful number since it is divisible by the number (14) 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 12326205181444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13551281694720).

12326205181444 is an abundant number, since it is smaller than the sum of its proper divisors (14776358207996).

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

12326205181444 is a wasteful number, since it uses less digits than its factorization.

12326205181444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42209 (or 42207 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 43.

The spelling of 12326205181444 in words is "twelve trillion, three hundred twenty-six billion, two hundred five million, one hundred eighty-one thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 131 154 262 308 524 917 1441 1834 2882 3668 5764 9337 10087 18674 20174 32719 37348 40348 65359 65438 102707 130718 130876 205414 229033 261436 359909 410828 458066 718949 719818 916132 1223147 1437898 1439636 2446294 2519363 2875796 4286189 4892588 5038726 8562029 8572378 10077452 13454617 17124058 17144756 26909234 30003323 34248116 47148079 53818468 60006646 94182319 94296158 120013292 188364638 188592316 305497303 330036553 376729276 610994606 660073106 1221989212 1320146212 2138481121 3360470333 4276962242 6720940666 8553924484 13441881332 23523292331 40020146693 47046584662 80040293386 94093169324 160080586772 280141026851 440221613623 560282053702 880443227246 1120564107404 1760886454492 3081551295361 6163102590722 12326205181444