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243320011242144 = 25343383315377981
BaseRepresentation
bin110111010100110001011010…
…110101100011101010100000
31011220112011110221102210122120
4313110301122311203222200
5223343023340334222034
62221255400420504240
7102152201464326654
oct6724613265435240
91156464427383576
10243320011242144
117059048a008841
122335906b54b080
13a59cc94cc7b05
144412a73b08a64
151d1e4a28eac49
hexdd4c5ad63aa0

243320011242144 has 96 divisors (see below), whose sum is σ = 653739420970944. Its totient is φ = 79199795619840.

The previous prime is 243320011242137. The next prime is 243320011242199. The reversal of 243320011242144 is 441242110023342.

243320011242144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8133634 + ... + 23511614.

It is an arithmetic number, because the mean of its divisors is an integer number (6809785635114).

Almost surely, 2243320011242144 is an apocalyptic number.

243320011242144 is a gapful number since it is divisible by the number (24) 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 243320011242144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326869710485472).

243320011242144 is an abundant number, since it is smaller than the sum of its proper divisors (410419409728800).

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

243320011242144 is a wasteful number, since it uses less digits than its factorization.

243320011242144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15381870 (or 15381862 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 243320011242144 its reverse (441242110023342), we get a palindrome (684562121265486).

The spelling of 243320011242144 in words is "two hundred forty-three trillion, three hundred twenty billion, eleven million, two hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 3833 4128 7666 11499 15332 22998 30664 45996 61328 91992 122656 164819 183984 329638 367968 494457 659276 988914 1318552 1977828 2637104 3955656 5274208 7911312 15377981 15822624 30755962 46133943 61511924 92267886 123023848 184535772 246047696 369071544 492095392 661253183 738143088 1322506366 1476286176 1983759549 2645012732 3967519098 5290025464 7935038196 10580050928 15870076392 21160101856 31740152784 58943801173 63480305568 117887602346 176831403519 235775204692 353662807038 471550409384 707325614076 943100818768 1414651228152 1886201637536 2534583450439 2829302456304 5069166900878 5658604912608 7603750351317 10138333801756 15207500702634 20276667603512 30415001405268 40553335207024 60830002810536 81106670414048 121660005621072 243320011242144