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14324240000 = 2754725579
BaseRepresentation
bin11010101011100101…
…01000111010000000
31100222021120210020102
431111302220322000
5213314001140000
610325214101532
71014653013440
oct152562507200
940867523212
1014324240000
116090729584
1229391aa8a8
131473845c75
1499c59a120
1558c82e3d5
hex355ca8e80

14324240000 has 160 divisors (see below), whose sum is σ = 40755079200. Its totient is φ = 4910976000.

The previous prime is 14324239991. The next prime is 14324240017. The reversal of 14324240000 is 4242341.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 547211 + ... + 572789.

It is an arithmetic number, because the mean of its divisors is an integer number (254719245).

Almost surely, 214324240000 is an apocalyptic number.

14324240000 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 14324240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20377539600).

14324240000 is an abundant number, since it is smaller than the sum of its proper divisors (26430839200).

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

14324240000 is an frugal number, since it uses more digits than its factorization.

14324240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25620 (or 25593 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 14324240000 its reverse (4242341), we get a palindrome (14328482341).

The spelling of 14324240000 in words is "fourteen billion, three hundred twenty-four million, two hundred forty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 140 160 175 200 224 250 280 320 350 400 448 500 560 625 640 700 800 875 896 1000 1120 1250 1400 1600 1750 2000 2240 2500 2800 3200 3500 4000 4375 4480 5000 5600 7000 8000 8750 10000 11200 14000 16000 17500 20000 22400 25579 28000 35000 40000 51158 56000 70000 80000 102316 112000 127895 140000 179053 204632 255790 280000 358106 409264 511580 560000 639475 716212 818528 895265 1023160 1278950 1432424 1637056 1790530 2046320 2557900 2864848 3197375 3274112 3581060 4092640 4476325 5115800 5729696 6394750 7162120 8185280 8952650 10231600 11459392 12789500 14324240 15986875 16370560 17905300 20463200 22381625 22918784 25579000 28648480 31973750 35810600 40926400 44763250 51158000 57296960 63947500 71621200 81852800 89526500 102316000 111908125 114593920 127895000 143242400 179053000 204632000 223816250 255790000 286484800 358106000 409264000 447632500 511580000 572969600 716212000 895265000 1023160000 1432424000 1790530000 2046320000 2864848000 3581060000 7162120000 14324240000