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14021333223440 = 245229765356617
BaseRepresentation
bin1100110000001001100010…
…0101100000100000010000
31211122102111211010222202012
43030002120211200200100
53314211142301122230
645453151144042052
72645002464640214
oct314023045404020
954572454128665
1014021333223440
114516461084164
1216a5518163328
137a928a8c9a9a
143668c9842944
15194ad8c1d395
hexcc098960810

14021333223440 has 40 divisors (see below), whose sum is σ = 32741956118040. Its totient is φ = 5584041870336.

The previous prime is 14021333223427. The next prime is 14021333223479. The reversal of 14021333223440 is 4432233312041.

It can be written as a sum of positive squares in 4 ways, for example, as 2713689539584 + 11307643683856 = 1647328^2 + 3362684^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 14021333223397 and 14021333223406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 382659989 + ... + 382696628.

It is an arithmetic number, because the mean of its divisors is an integer number (818548902951).

Almost surely, 214021333223440 is an apocalyptic number.

14021333223440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14021333223440 is an abundant number, since it is smaller than the sum of its proper divisors (18720622894600).

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

14021333223440 is a wasteful number, since it uses less digits than its factorization.

14021333223440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765356859 (or 765356853 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 14021333223440 its reverse (4432233312041), we get a palindrome (18453566535481).

The spelling of 14021333223440 in words is "fourteen trillion, twenty-one billion, three hundred thirty-three million, two hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 229 458 916 1145 1832 2290 3664 4580 9160 18320 765356617 1530713234 3061426468 3826783085 6122852936 7653566170 12245705872 15307132340 30614264680 61228529360 175266665293 350533330586 701066661172 876333326465 1402133322344 1752666652930 2804266644688 3505333305860 7010666611720 14021333223440