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14022341224304 = 247418093774593
BaseRepresentation
bin1100110000001101010010…
…1010101110011101110000
31211122112010001212201222112
43030003110222232131300
53314220223323134204
645453435153024452
72645036454543230
oct314032452563560
954575101781875
1014022341224304
114516929072126
1216a5759855128
137a93bb6a88ba
14366983673cc0
15194b4748026e
hexcc0d4aae770

14022341224304 has 80 divisors (see below), whose sum is σ = 31846098594240. Its totient is φ = 5855751045120.

The previous prime is 14022341224277. The next prime is 14022341224321. The reversal of 14022341224304 is 40342214322041.

It is a happy number.

It is a congruent number.

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, 1827632 + ... + 5602224.

It is an arithmetic number, because the mean of its divisors is an integer number (398076232428).

Almost surely, 214022341224304 is an apocalyptic number.

14022341224304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14022341224304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15923049297120).

14022341224304 is an abundant number, since it is smaller than the sum of its proper divisors (17823757369936).

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

14022341224304 is a wasteful number, since it uses less digits than its factorization.

14022341224304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3775458 (or 3775452 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 14022341224304 its reverse (40342214322041), we get a palindrome (54364555546345).

The spelling of 14022341224304 in words is "fourteen trillion, twenty-two billion, three hundred forty-one million, two hundred twenty-four thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 164 287 328 574 656 809 1148 1618 2296 3236 4592 5663 6472 11326 12944 22652 33169 45304 66338 90608 132676 232183 265352 464366 530704 928732 1857464 3714928 3774593 7549186 15098372 26422151 30196744 52844302 60393488 105688604 154758313 211377208 309516626 422754416 619033252 1083308191 1238066504 2166616382 2476133008 3053645737 4333232764 6107291474 8666465528 12214582948 17332931056 21375520159 24429165896 42751040318 48858331792 85502080636 125199475217 171004161272 250398950434 342008322544 500797900868 876396326519 1001595801736 1752792653038 2003191603472 3505585306076 7011170612152 14022341224304