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14321111200 = 2552113734363
BaseRepresentation
bin11010101011001101…
…01101000010100000
31100222001200211022221
431111212231002200
5213312201024300
610325023040424
71014614302534
oct152546550240
940861624287
1014321111200
1160899918a0
122938140114
131472cbbac6
1499bdc3bc4
1558c41231a
hex3559ad0a0

14321111200 has 144 divisors (see below), whose sum is σ = 38250739296. Its totient is φ = 5192524800.

The previous prime is 14321111191. The next prime is 14321111213. The reversal of 14321111200 is 211112341.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3280219 + ... + 3284581.

It is an arithmetic number, because the mean of its divisors is an integer number (265630134).

Almost surely, 214321111200 is an apocalyptic number.

14321111200 is a gapful number since it is divisible by the number (10) 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 14321111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19125369648).

14321111200 is an abundant number, since it is smaller than the sum of its proper divisors (23929628096).

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

14321111200 is a wasteful number, since it uses less digits than its factorization.

14321111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4767 (or 4754 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 14321111200 its reverse (211112341), we get a palindrome (14532223541).

It can be divided in two parts, 14321 and 111200, that added together give a palindrome (125521).

The spelling of 14321111200 in words is "fourteen billion, three hundred twenty-one million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 373 400 440 550 746 800 880 1100 1492 1760 1865 2200 2984 3730 4103 4363 4400 5968 7460 8206 8726 8800 9325 11936 14920 16412 17452 18650 20515 21815 29840 32824 34904 37300 41030 43630 47993 59680 65648 69808 74600 82060 87260 95986 102575 109075 131296 139616 149200 164120 174520 191972 205150 218150 239965 298400 328240 349040 383944 410300 436300 479930 656480 698080 767888 820600 872600 959860 1199825 1535776 1627399 1641200 1745200 1919720 2399650 3254798 3282400 3490400 3839440 4799300 6509596 7678880 8136995 9598600 13019192 16273990 17901389 19197200 26038384 32547980 35802778 38394400 40684975 52076768 65095960 71605556 81369950 89506945 130191920 143211112 162739900 179013890 260383840 286422224 325479800 358027780 447534725 572844448 650959600 716055560 895069450 1301919200 1432111120 1790138900 2864222240 3580277800 7160555600 14321111200