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14254320000 = 2735459393
BaseRepresentation
bin11010100011001111…
…11010100110000000
31100210102000111000210
431101213322212000
5213143101220000
610314235314120
71013143502154
oct152147724600
940712014023
1014254320000
116055212658
1229198ab940
13146220499b
14993199064
1558661c350
hex3519fa980

14254320000 has 160 divisors (see below), whose sum is σ = 47314448280. Its totient is φ = 3801088000.

The previous prime is 14254319999. The next prime is 14254320007. The reversal of 14254320000 is 2345241.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14254320007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 210304 + ... + 269696.

Almost surely, 214254320000 is an apocalyptic number.

14254320000 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 14254320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23657224140).

14254320000 is an abundant number, since it is smaller than the sum of its proper divisors (33060128280).

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

14254320000 is an frugal number, since it uses more digits than its factorization.

14254320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59430 (or 59403 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 14254320000 its reverse (2345241), we get a palindrome (14256665241).

The spelling of 14254320000 in words is "fourteen billion, two hundred fifty-four million, three hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 625 640 750 800 960 1000 1200 1250 1500 1600 1875 1920 2000 2400 2500 3000 3200 3750 4000 4800 5000 6000 7500 8000 9600 10000 12000 15000 16000 20000 24000 30000 40000 48000 59393 60000 80000 118786 120000 178179 237572 240000 296965 356358 475144 593930 712716 890895 950288 1187860 1425432 1484825 1781790 1900576 2375720 2850864 2969650 3563580 3801152 4454475 4751440 5701728 5939300 7127160 7424125 7602304 8908950 9502880 11403456 11878600 14254320 14848250 17817900 19005760 22272375 22806912 23757200 28508640 29696500 35635800 37120625 38011520 44544750 47514400 57017280 59393000 71271600 74241250 89089500 95028800 111361875 114034560 118786000 142543200 148482500 178179000 190057600 222723750 237572000 285086400 296965000 356358000 445447500 475144000 570172800 593930000 712716000 890895000 950288000 1187860000 1425432000 1781790000 2375720000 2850864000 3563580000 4751440000 7127160000 14254320000