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14314043434200 = 2335253934423649
BaseRepresentation
bin1101000001001011111101…
…1110010110010011011000
31212200102001022001100121020
43100102333132112103120
53334010130104343300
650235440351442440
73005104224451656
oct320227736262330
955612038040536
1014314043434200
114619608396954
1217321a8226420
137caa6838b423
14376b36751dd6
1519c51b41e8a0
hexd04bf7964d8

14314043434200 has 96 divisors (see below), whose sum is σ = 44381772666000. Its totient is φ = 3816369602560.

The previous prime is 14314043434169. The next prime is 14314043434217. The reversal of 14314043434200 is 243434041341.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1023976 + ... + 5447624.

Almost surely, 214314043434200 is an apocalyptic number.

14314043434200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14314043434200 is an abundant number, since it is smaller than the sum of its proper divisors (30067729231800).

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

14314043434200 is a wasteful number, since it uses less digits than its factorization.

14314043434200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4429061 (or 4429052 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 14314043434200 its reverse (243434041341), we get a palindrome (14557477475541).

The spelling of 14314043434200 in words is "fourteen trillion, three hundred fourteen billion, forty-three million, four hundred thirty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 5393 10786 16179 21572 26965 32358 43144 53930 64716 80895 107860 129432 134825 161790 215720 269650 323580 404475 539300 647160 808950 1078600 1617900 3235800 4423649 8847298 13270947 17694596 22118245 26541894 35389192 44236490 53083788 66354735 88472980 106167576 110591225 132709470 176945960 221182450 265418940 331773675 442364900 530837880 663547350 884729800 1327094700 2654189400 23856739057 47713478114 71570217171 95426956228 119283695285 143140434342 190853912456 238567390570 286280868684 357851085855 477134781140 572561737368 596418476425 715702171710 954269562280 1192836952850 1431404343420 1789255429275 2385673905700 2862808686840 3578510858550 4771347811400 7157021717100 14314043434200