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14224534132000 = 25534218446873
BaseRepresentation
bin1100111011111110100001…
…0011011101010100100000
31212100212000020111200022111
43032333220103131110200
53331023321214211000
650130354420445104
72665455134110153
oct316775023352440
955325006450274
1014224534132000
114594655759335
121718987849794
137c24a211519a
14372684aa7c9a
1519a02d1becba
hexcefe84dd520

14224534132000 has 96 divisors (see below), whose sum is σ = 35032700377584. Its totient is φ = 5676297984000.

The previous prime is 14224534131979. The next prime is 14224534132013. The reversal of 14224534132000 is 23143542241.

It can be written as a sum of positive squares in 8 ways, for example, as 73786116496 + 14150748015504 = 271636^2 + 3761748^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2539437 + ... + 5907436.

Almost surely, 214224534132000 is an apocalyptic number.

14224534132000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14224534132000 is an abundant number, since it is smaller than the sum of its proper divisors (20808166245584).

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

14224534132000 is an equidigital number, since it uses as much as digits as its factorization.

14224534132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8447319 (or 8447301 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 14224534132000 its reverse (23143542241), we get a palindrome (14247677674241).

The spelling of 14224534132000 in words is "fourteen trillion, two hundred twenty-four billion, five hundred thirty-four million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 421 500 800 842 1000 1684 2000 2105 3368 4000 4210 6736 8420 10525 13472 16840 21050 33680 42100 52625 67360 84200 105250 168400 210500 336800 421000 842000 1684000 8446873 16893746 33787492 42234365 67574984 84468730 135149968 168937460 211171825 270299936 337874920 422343650 675749840 844687300 1055859125 1351499680 1689374600 2111718250 3378749200 3556133533 4223436500 6757498400 7112267066 8446873000 14224534132 16893746000 17780667665 28449068264 33787492000 35561335330 56898136528 71122670660 88903338325 113796273056 142245341320 177806676650 284490682640 355613353300 444516691625 568981365280 711226706600 889033383250 1422453413200 1778066766500 2844906826400 3556133533000 7112267066000 14224534132000