Search a number
-
+
385132044213 = 32724183353727
BaseRepresentation
bin1011001101010111010…
…10001001111110110101
31100211002111212221220200
411212223222021332311
522302222300403323
6452532140151113
736552634235100
oct5465352117665
91324074787820
10385132044213
11139373aa9134
1262783b38499
132a419275377
14148d7711737
15a0414b8443
hex59aba89fb5

385132044213 has 144 divisors (see below), whose sum is σ = 673723080576. Its totient is φ = 211229061120.

The previous prime is 385132044197. The next prime is 385132044233. The reversal of 385132044213 is 312440231583.

385132044213 is a `hidden beast` number, since 3 + 85 + 1 + 320 + 44 + 213 = 666.

It is not a de Polignac number, because 385132044213 - 24 = 385132044197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385132044233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 529754856 + ... + 529755582.

It is an arithmetic number, because the mean of its divisors is an integer number (4678632504).

Almost surely, 2385132044213 is an apocalyptic number.

It is an amenable number.

385132044213 is a deficient number, since it is larger than the sum of its proper divisors (288591036363).

385132044213 is a wasteful number, since it uses less digits than its factorization.

385132044213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 385132044213 its reverse (312440231583), we get a palindrome (697572275796).

The spelling of 385132044213 in words is "three hundred eighty-five billion, one hundred thirty-two million, forty-four thousand, two hundred thirteen".

Divisors: 1 3 7 9 21 41 49 63 83 123 147 249 287 353 369 441 581 727 747 861 1059 1743 2009 2181 2471 2583 3177 3403 4067 5089 5229 6027 6543 7413 10209 12201 14473 15267 17297 18081 22239 23821 29299 29807 30627 35623 36603 43419 45801 51891 60341 71463 87897 89421 101311 106869 130257 155673 166747 181023 205093 208649 214389 256631 263691 268263 303933 320607 422387 500241 543069 615279 625947 709177 769893 911799 1201259 1267161 1435651 1460543 1500723 1796417 1845837 1877841 2127531 2309679 2473981 2956709 3603777 3801483 4306953 4381629 5389251 6382593 7421943 8408813 8870127 10521871 10811331 12574919 12920859 13144887 16167753 17317867 21300373 22265829 25226439 26610381 31565613 37724757 51953601 58861691 63901119 73653097 75679317 94696839 113174271 121225069 149102611 155860803 176585073 191703357 220959291 363675207 447307833 515571679 529755219 662877873 873315293 1043718277 1091025621 1341923499 1546715037 2619945879 3131154831 4640145111 6113207051 7859837637 9393464493 18339621153 42792449357 55018863459 128377348071 385132044213