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14200343222140 = 22529971123120483
BaseRepresentation
bin1100111010100100011001…
…1010011101011101111100
31212021112120100001010112001
43032221012122131131330
53330124300331102030
650111314141352044
72663640512552155
oct316510632353574
955245510033461
1014200343222140
114585371601749
121714156268624
137c01183c523a
1437142bd7492c
151995b456ccca
hexcea4669d77c

14200343222140 has 96 divisors (see below), whose sum is σ = 30907386639360. Its totient is φ = 5473904620800.

The previous prime is 14200343222083. The next prime is 14200343222159. The reversal of 14200343222140 is 4122234300241.

It is a junction number, because it is equal to n+sod(n) for n = 14200343222099 and 14200343222108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 693264339 + ... + 693284821.

It is an arithmetic number, because the mean of its divisors is an integer number (321951944160).

Almost surely, 214200343222140 is an apocalyptic number.

14200343222140 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 14200343222140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15453693319680).

14200343222140 is an abundant number, since it is smaller than the sum of its proper divisors (16707043417220).

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

14200343222140 is a wasteful number, since it uses less digits than its factorization.

14200343222140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22723 (or 22721 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 14200343222140 its reverse (4122234300241), we get a palindrome (18322577522381).

The spelling of 14200343222140 in words is "fourteen trillion, two hundred billion, three hundred forty-three million, two hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 971 1231 1942 2462 3884 4855 4924 6155 9710 12310 19420 20483 24620 28159 35699 40966 56318 71398 81932 102415 112636 140795 142796 178495 204830 281590 356990 409660 563180 594007 713980 1188014 1195301 2376028 2390602 2970035 4781204 5940070 5976505 11880140 11953010 19888993 23906020 25214573 34663729 39777986 50429146 69327458 79555972 99444965 100858292 126072865 138654916 173318645 198889930 252145730 346637290 397779860 504291460 576780797 693274580 731222617 1153561594 1462445234 2307123188 2883903985 2924890468 3656113085 5767807970 7312226170 11535615940 14624452340 24483350383 48966700766 97933401532 122416751915 244833503830 489667007660 710017161107 1420034322214 2840068644428 3550085805535 7100171611070 14200343222140