Search a number
-
+
12004310304 = 253275954519
BaseRepresentation
bin10110010111000001…
…10011110100100000
31010222121020010222100
423023200303310200
5144041100412204
65303102010400
7603322645140
oct131340636440
933877203870
1012004310304
115100136008
1223b0276a00
1311940136bc
1481c420920
154a3d22a39
hex2cb833d20

12004310304 has 72 divisors (see below), whose sum is σ = 39014015040. Its totient is φ = 3429802368.

The previous prime is 12004310293. The next prime is 12004310323. The reversal of 12004310304 is 40301340021.

12004310304 is a `hidden beast` number, since 1 + 200 + 431 + 0 + 30 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2975244 + ... + 2979275.

It is an arithmetic number, because the mean of its divisors is an integer number (541861320).

Almost surely, 212004310304 is an apocalyptic number.

12004310304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12004310304 is an abundant number, since it is smaller than the sum of its proper divisors (27009704736).

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

12004310304 is a wasteful number, since it uses less digits than its factorization.

12004310304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5954542 (or 5954531 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12004310304 its reverse (40301340021), we get a palindrome (52305650325).

The spelling of 12004310304 in words is "twelve billion, four million, three hundred ten thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 5954519 11909038 17863557 23818076 35727114 41681633 47636152 53590671 71454228 83363266 95272304 107181342 125044899 142908456 166726532 190544608 214362684 250089798 285816912 333453064 375134697 428725368 500179596 571633824 666906128 750269394 857450736 1000359192 1333812256 1500538788 1714901472 2000718384 3001077576 4001436768 6002155152 12004310304