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130412342304 = 2533239631549
BaseRepresentation
bin111100101110100101…
…1100110110000100000
3110110121122211101221000
41321131023212300200
54114041024423204
6135524405032000
712264511422336
oct1713513466040
9413548741830
10130412342304
1150342404aa2
12213369b5600
13c3b4447b6a
146452163b56
1535d4164039
hex1e5d2e6c20

130412342304 has 96 divisors (see below), whose sum is σ = 381961440000. Its totient is φ = 43288826112.

The previous prime is 130412342287. The next prime is 130412342327. The reversal of 130412342304 is 403243214031.

130412342304 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 12 + 342 + 304 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 109279 + ... + 522270.

It is an arithmetic number, because the mean of its divisors is an integer number (3978765000).

Almost surely, 2130412342304 is an apocalyptic number.

It is an amenable number.

130412342304 is an abundant number, since it is smaller than the sum of its proper divisors (251549097696).

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

130412342304 is a wasteful number, since it uses less digits than its factorization.

130412342304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631807 (or 631793 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 130412342304 its reverse (403243214031), we get a palindrome (533655556335).

The spelling of 130412342304 in words is "one hundred thirty billion, four hundred twelve million, three hundred forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 239 288 432 478 717 864 956 1434 1912 2151 2868 3824 4302 5736 6453 7648 8604 11472 12906 17208 22944 25812 34416 51624 68832 103248 206496 631549 1263098 1894647 2526196 3789294 5052392 5683941 7578588 10104784 11367882 15157176 17051823 20209568 22735764 30314352 34103646 45471528 60628704 68207292 90943056 136414584 150940211 181886112 272829168 301880422 452820633 545658336 603760844 905641266 1207521688 1358461899 1811282532 2415043376 2716923798 3622565064 4075385697 4830086752 5433847596 7245130128 8150771394 10867695192 14490260256 16301542788 21735390384 32603085576 43470780768 65206171152 130412342304