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244321343244 = 2232114759222493
BaseRepresentation
bin1110001110001010101…
…1111101011100001100
3212100122011201012111200
43203202223331130030
513000332230440434
6304123434145500
723436340103106
oct3434253753414
9770564635450
10244321343244
11946860353a0
123b426882290
131a068754874
14bb7a570576
15654e509199
hex38e2afd70c

244321343244 has 144 divisors (see below), whose sum is σ = 699734730240. Its totient is φ = 71233038720.

The previous prime is 244321343221. The next prime is 244321343263. The reversal of 244321343244 is 442343123442.

244321343244 is a `hidden beast` number, since 2 + 4 + 4 + 3 + 213 + 432 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 244321343199 and 244321343208.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 986862 + ... + 1209354.

It is an arithmetic number, because the mean of its divisors is an integer number (4859268960).

Almost surely, 2244321343244 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 244321343244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349867365120).

244321343244 is an abundant number, since it is smaller than the sum of its proper divisors (455413386996).

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

244321343244 is a wasteful number, since it uses less digits than its factorization.

244321343244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222620 (or 222615 counting only the distinct ones).

The product of its digits is 221184, while the sum is 36.

Adding to 244321343244 its reverse (442343123442), we get a palindrome (686664466686).

The spelling of 244321343244 in words is "two hundred forty-four billion, three hundred twenty-one million, three hundred forty-three thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 47 59 66 94 99 118 132 141 177 188 198 236 282 354 396 423 517 531 564 649 708 846 1034 1062 1298 1551 1692 1947 2068 2124 2596 2773 3102 3894 4653 5546 5841 6204 7788 8319 9306 11092 11682 16638 18612 23364 24957 30503 33276 49914 61006 91509 99828 122012 183018 222493 274527 366036 444986 549054 667479 889972 1098108 1334958 2002437 2447423 2669916 4004874 4894846 7342269 8009748 9789692 10457171 13127087 14684538 20914342 22026807 26254174 29369076 31371513 39381261 41828684 44053614 52508348 62743026 78762522 88107228 94114539 115028881 118143783 125486052 144397957 157525044 188229078 230057762 236287566 288795914 345086643 376458156 433193871 460115524 472575132 577591828 616973089 690173286 866387742 1035259929 1233946178 1299581613 1380346572 1732775484 1850919267 2070519858 2467892356 2599163226 3701838534 4141039716 5198326452 5552757801 6786703979 7403677068 11105515602 13573407958 20360111937 22211031204 27146815916 40720223874 61080335811 81440447748 122160671622 244321343244