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14234011213200 = 2435241289309171
BaseRepresentation
bin1100111100100001110100…
…1011101001110110010000
31212101202110201022021200220
43033020131023221312100
53331202223332310300
650135003043313040
72666242032011412
oct317103513516620
955352421267626
1014234011213200
114598679282749
12171a79167b780
137c335268473c
14372d035ca9b2
1519a3d51d8da0
hexcf21d2e9d90

14234011213200 has 120 divisors (see below), whose sum is σ = 46708387201056. Its totient is φ = 3703157376000.

The previous prime is 14234011213189. The next prime is 14234011213217. The reversal of 14234011213200 is 231211043241.

14234011213200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144605386 + ... + 144703785.

Almost surely, 214234011213200 is an apocalyptic number.

14234011213200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14234011213200 is an abundant number, since it is smaller than the sum of its proper divisors (32474375987856).

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

14234011213200 is a wasteful number, since it uses less digits than its factorization.

14234011213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289309233 (or 289309222 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 14234011213200 its reverse (231211043241), we get a palindrome (14465222256441).

The spelling of 14234011213200 in words is "fourteen trillion, two hundred thirty-four billion, eleven million, two hundred thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 41 48 50 60 75 80 82 100 120 123 150 164 200 205 240 246 300 328 400 410 492 600 615 656 820 984 1025 1200 1230 1640 1968 2050 2460 3075 3280 4100 4920 6150 8200 9840 12300 16400 24600 49200 289309171 578618342 867927513 1157236684 1446545855 1735855026 2314473368 2893091710 3471710052 4339637565 4628946736 5786183420 6943420104 7232729275 8679275130 11572366840 11861676011 13886840208 14465458550 17358550260 21698187825 23144733680 23723352022 28930917100 34717100520 35585028033 43396375650 47446704044 57861834200 59308380055 69434201040 71170056066 86792751300 94893408088 115723668400 118616760110 142340112132 173585502600 177925140165 189786816176 237233520220 284680224264 296541900275 347171005200 355850280330 474467040440 569360448528 593083800550 711700560660 889625700825 948934080880 1186167601100 1423401121320 1779251401650 2372335202200 2846802242640 3558502803300 4744670404400 7117005606600 14234011213200