Search a number
-
+
320025144330 = 232517239094207
BaseRepresentation
bin1001010100000101111…
…11000010110000001010
31010121001002202202112100
410222002333002300022
520220402414104310
6403003441254230
732056343562333
oct4520277026012
91117032682470
10320025144330
111137a393a661
1252033934376
132424179b338
14116bc8d128a
1584d0744ec0
hex4a82fc2c0a

320025144330 has 96 divisors (see below), whose sum is σ = 919315298304. Its totient is φ = 76827852288.

The previous prime is 320025144311. The next prime is 320025144377. The reversal of 320025144330 is 33441520023.

320025144330 is a `hidden beast` number, since 3 + 200 + 25 + 1 + 4 + 433 + 0 = 666.

It is a super-2 number, since 2×3200251443302 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 320025144294 and 320025144303.

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, 4511914 + ... + 4582293.

It is an arithmetic number, because the mean of its divisors is an integer number (9576201024).

Almost surely, 2320025144330 is an apocalyptic number.

320025144330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

320025144330 is an abundant number, since it is smaller than the sum of its proper divisors (599290153974).

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

320025144330 is a wasteful number, since it uses less digits than its factorization.

320025144330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9094260 (or 9094257 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 320025144330 its reverse (33441520023), we get a palindrome (353466664353).

The spelling of 320025144330 in words is "three hundred twenty billion, twenty-five million, one hundred forty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 23 30 34 45 46 51 69 85 90 102 115 138 153 170 207 230 255 306 345 391 414 510 690 765 782 1035 1173 1530 1955 2070 2346 3519 3910 5865 7038 11730 17595 35190 9094207 18188414 27282621 45471035 54565242 81847863 90942070 136413105 154601519 163695726 209166761 272826210 309203038 409239315 418333522 463804557 627500283 773007595 818478630 927609114 1045833805 1255000566 1391413671 1546015190 1882500849 2091667610 2319022785 2782827342 3137501415 3555834937 3765001698 4638045570 6275002830 6957068355 7111669874 9412504245 10667504811 13914136710 17779174685 18825008490 21335009622 32002514433 35558349370 53337524055 64005028866 106675048110 160012572165 320025144330