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14420244200 = 23522913118979
BaseRepresentation
bin11010110111000001…
…10111011011101000
31101012222020022020112
431123200313123220
5214013040303300
610342523513452
71020230024165
oct153340673350
941188208215
1014420244200
11612a94099a
122965388888
13148a6baa9b
149ab22b06c
15595e94e35
hex35b8376e8

14420244200 has 96 divisors (see below), whose sum is σ = 34949772000. Its totient is φ = 5526393600.

The previous prime is 14420244191. The next prime is 14420244217. The reversal of 14420244200 is 244202441.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 750311 + ... + 769289.

It is an arithmetic number, because the mean of its divisors is an integer number (364060125).

Almost surely, 214420244200 is an apocalyptic number.

14420244200 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 14420244200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17474886000).

14420244200 is an abundant number, since it is smaller than the sum of its proper divisors (20529527800).

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

14420244200 is a wasteful number, since it uses less digits than its factorization.

14420244200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19155 (or 19146 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

Adding to 14420244200 its reverse (244202441), we get a palindrome (14664446641).

The spelling of 14420244200 in words is "fourteen billion, four hundred twenty million, two hundred forty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 131 145 200 232 262 290 524 580 655 725 1048 1160 1310 1450 2620 2900 3275 3799 5240 5800 6550 7598 13100 15196 18979 18995 26200 30392 37958 37990 75916 75980 94895 94975 151832 151960 189790 189950 379580 379900 474475 550391 759160 759800 948950 1100782 1897900 2201564 2486249 2751955 3795800 4403128 4972498 5503910 9944996 11007820 12431245 13759775 19889992 22015640 24862490 27519550 49724980 55039100 62156225 72101221 99449960 110078200 124312450 144202442 248624900 288404884 360506105 497249800 576809768 721012210 1442024420 1802530525 2884048840 3605061050 7210122100 14420244200