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2304014223312 = 2432109390737571
BaseRepresentation
bin100001100001110001111…
…100110000011111010000
322011021001201020112212200
4201201301330300133100
5300222110120121222
64522241032523200
7325313422523364
oct41416174603720
98137051215780
102304014223312
11809143a6650a
12312649850500
13139362c24639
147d72cba92a4
153edeccc0eac
hex21871f307d0

2304014223312 has 120 divisors (see below), whose sum is σ = 6509034898080. Its totient is φ = 760743809280.

The previous prime is 2304014223299. The next prime is 2304014223331. The reversal of 2304014223312 is 2133224104032.

2304014223312 is a `hidden beast` number, since 2 + 3 + 0 + 401 + 4 + 223 + 31 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61305487 + ... + 61343057.

It is an arithmetic number, because the mean of its divisors is an integer number (54241957484).

Almost surely, 22304014223312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2304014223312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3254517449040).

2304014223312 is an abundant number, since it is smaller than the sum of its proper divisors (4205020674768).

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

2304014223312 is a wasteful number, since it uses less digits than its factorization.

2304014223312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41601 (or 41592 counting only the distinct ones).

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

Adding to 2304014223312 its reverse (2133224104032), we get a palindrome (4437238327344).

The spelling of 2304014223312 in words is "two trillion, three hundred four billion, fourteen million, two hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 109 144 218 327 436 654 872 981 1308 1744 1962 2616 3907 3924 5232 7814 7848 11721 15628 15696 23442 31256 35163 37571 46884 62512 70326 75142 93768 112713 140652 150284 187536 225426 281304 300568 338139 425863 450852 562608 601136 676278 851726 901704 1277589 1352556 1703452 1803408 2555178 2705112 3406904 3832767 4095239 5110356 5410224 6813808 7665534 8190478 10220712 12285717 15331068 16380956 20441424 24571434 30662136 32761912 36857151 49142868 61324272 65523824 73714302 98285736 146789897 147428604 196571472 293579794 294857208 440369691 587159588 589714416 880739382 1174319176 1321109073 1761478764 2348638352 2642218146 3522957528 5284436292 7045915056 10568872584 16000098773 21137745168 32000197546 48000296319 64000395092 96000592638 128000790184 144000888957 192001185276 256001580368 288001777914 384002370552 576003555828 768004741104 1152007111656 2304014223312