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14242211200 = 27527635813
BaseRepresentation
bin11010100001110011…
…01110010110000000
31100202120020021212201
431100321232112000
5213132001224300
610313124002544
71012635540430
oct152071562600
940676207781
1014242211200
1160493a2088
122915830454
13145c855309
149917262c0
1558552966a
hex350e6e580

14242211200 has 96 divisors (see below), whose sum is σ = 40208877360. Its totient is φ = 4883036160.

The previous prime is 14242211183. The next prime is 14242211201. The reversal of 14242211200 is 211224241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14242211201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 295507 + ... + 340306.

Almost surely, 214242211200 is an apocalyptic number.

14242211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14242211200 is an abundant number, since it is smaller than the sum of its proper divisors (25966666160).

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

14242211200 is an equidigital number, since it uses as much as digits as its factorization.

14242211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635844 (or 635827 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 14242211200 its reverse (211224241), we get a palindrome (14453435441).

The spelling of 14242211200 in words is "fourteen billion, two hundred forty-two million, two hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 128 140 160 175 200 224 280 320 350 400 448 560 640 700 800 896 1120 1400 1600 2240 2800 3200 4480 5600 11200 22400 635813 1271626 2543252 3179065 4450691 5086504 6358130 8901382 10173008 12716260 15895325 17802764 20346016 22253455 25432520 31790650 35605528 40692032 44506910 50865040 63581300 71211056 81384064 89013820 101730080 111267275 127162600 142422112 178027640 203460160 222534550 254325200 284844224 356055280 406920320 445069100 508650400 569688448 712110560 890138200 1017300800 1424221120 1780276400 2034601600 2848442240 3560552800 7121105600 14242211200