Search a number
-
+
242834665542528 = 2733072059876031
BaseRepresentation
bin110111001101101101011001…
…111110101001001110000000
31011211210202201100212200101010
4313031231121332221032000
5223312100343334330103
62220244412202040520
7102102140250053163
oct6715553176511600
91154722640780333
10242834665542528
11704136700150a4
122329ab9a1a9140
13a566297bb73c7
1443d7390c3bada
151d11a48592903
hexdcdb59fa9380

242834665542528 has 64 divisors (see below), whose sum is σ = 647130654213120. Its totient is φ = 80681224343040.

The previous prime is 242834665542479. The next prime is 242834665542569. The reversal of 242834665542528 is 825245566438242.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1029820128 + ... + 1030055903.

It is an arithmetic number, because the mean of its divisors is an integer number (10111416472080).

Almost surely, 2242834665542528 is an apocalyptic number.

It is an amenable number.

242834665542528 is an abundant number, since it is smaller than the sum of its proper divisors (404295988670592).

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

242834665542528 is a wasteful number, since it uses less digits than its factorization.

242834665542528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2059876355 (or 2059876343 counting only the distinct ones).

The product of its digits is 884736000, while the sum is 66.

The spelling of 242834665542528 in words is "two hundred forty-two trillion, eight hundred thirty-four billion, six hundred sixty-five million, five hundred forty-two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 307 384 614 921 1228 1842 2456 3684 4912 7368 9824 14736 19648 29472 39296 58944 117888 2059876031 4119752062 6179628093 8239504124 12359256186 16479008248 24718512372 32958016496 49437024744 65916032992 98874049488 131832065984 197748098976 263664131968 395496197952 632381941517 790992395904 1264763883034 1897145824551 2529527766068 3794291649102 5059055532136 7588583298204 10118111064272 15177166596408 20236222128544 30354333192816 40472444257088 60708666385632 80944888514176 121417332771264 242834665542528