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243111303552 = 2731355787433
BaseRepresentation
bin1110001001101010010…
…0000001100110000000
3212020111211210211002210
43202122210001212000
512440342443203202
6303403410542120
723364344661435
oct3423244014600
9766454724083
10243111303552
1194114aa1697
123b149597940
1319c04b56750
14baa3989b8c
1564cd188c6c
hex389a901980

243111303552 has 128 divisors (see below), whose sum is σ = 696695096160. Its totient is φ = 74668326912.

The previous prime is 243111303541. The next prime is 243111303559. The reversal of 243111303552 is 255303111342.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243111303559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2736828 + ... + 2824260.

Almost surely, 2243111303552 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 243111303552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348347548080).

243111303552 is an abundant number, since it is smaller than the sum of its proper divisors (453583792608).

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

243111303552 is a wasteful number, since it uses less digits than its factorization.

243111303552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88020 (or 88008 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 243111303552 its reverse (255303111342), we get a palindrome (498414414894).

The spelling of 243111303552 in words is "two hundred forty-three billion, one hundred eleven million, three hundred three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 557 624 832 1114 1248 1664 1671 2228 2496 3342 4456 4992 6684 7241 8912 13368 14482 17824 21723 26736 28964 35648 43446 53472 57928 71296 86892 87433 106944 115856 173784 174866 213888 231712 262299 347568 349732 463424 524598 695136 699464 926848 1049196 1136629 1390272 1398928 2098392 2273258 2780544 2797856 3409887 4196784 4546516 5595712 6819774 8393568 9093032 11191424 13639548 16787136 18186064 27279096 33574272 36372128 48700181 54558192 72744256 97400362 109116384 145488512 146100543 194800724 218232768 292201086 389601448 436465536 584402172 633102353 779202896 1168804344 1266204706 1558405792 1899307059 2337608688 2532409412 3116811584 3798614118 4675217376 5064818824 6233623168 7597228236 9350434752 10129637648 15194456472 18700869504 20259275296 30388912944 40518550592 60777825888 81037101184 121555651776 243111303552