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14204100441300 = 22352711614896123
BaseRepresentation
bin1100111010110010011001…
…0111000111010011010100
31212021220021011220122021020
43032230212113013103110
53330204444203110200
650113135035521140
72664132564441660
oct316544627072324
955256234818236
1014204100441300
114586a1a443050
121714a245b91b0
137c0596931143
143716a6d6b8a0
15199734337ea0
hexceb265c74d4

14204100441300 has 144 divisors (see below), whose sum is σ = 51238064220672. Its totient is φ = 2951501385600.

The previous prime is 14204100441283. The next prime is 14204100441317. The reversal of 14204100441300 is 314400140241.

It is an interprime number because it is at equal distance from previous prime (14204100441283) and next prime (14204100441317).

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 47 ways as a sum of consecutive naturals, for example, 307424962 + ... + 307471161.

Almost surely, 214204100441300 is an apocalyptic number.

14204100441300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14204100441300 is an abundant number, since it is smaller than the sum of its proper divisors (37033963779372).

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

14204100441300 is a wasteful number, since it uses less digits than its factorization.

14204100441300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614896158 (or 614896151 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 14204100441300 its reverse (314400140241), we get a palindrome (14518500581541).

The spelling of 14204100441300 in words is "fourteen trillion, two hundred four billion, one hundred million, four hundred forty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 25 28 30 33 35 42 44 50 55 60 66 70 75 77 84 100 105 110 132 140 150 154 165 175 210 220 231 275 300 308 330 350 385 420 462 525 550 660 700 770 825 924 1050 1100 1155 1540 1650 1925 2100 2310 3300 3850 4620 5775 7700 11550 23100 614896123 1229792246 1844688369 2459584492 3074480615 3689376738 4304272861 6148961230 6763857353 7378753476 8608545722 9223441845 12297922460 12912818583 13527714706 15372403075 17217091444 18446883690 20291572059 21521364305 25825637166 27055429412 30744806150 33819286765 36893767380 40583144118 43042728610 46117209225 47347001471 51651274332 61489612300 64564092915 67638573530 81166288236 86085457220 92234418450 94694002942 101457860295 107606821525 129128185830 135277147060 142041004413 169096433825 184468836900 189388005884 202915720590 215213643050 236735007355 258256371660 284082008826 322820464575 338192867650 405831441180 430427286100 473470014710 507289301475 568164017652 645640929150 676385735300 710205022065 946940029420 1014578602950 1183675036775 1291281858300 1420410044130 2029157205900 2367350073550 2840820088260 3551025110325 4734700147100 7102050220650 14204100441300