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14204413014000 = 2435311215218379
BaseRepresentation
bin1100111010110011100011…
…1111011110111111110000
31212021221001222001222101220
43032230320333132333300
53330211114212422000
650113230043225040
72664143411324436
oct316547077367760
955257058058356
1014204413014000
11458706a9245a0
121714ab1218180
137c06166117c1
143716d6694d56
151997519cc1a0
hexceb38fdeff0

14204413014000 has 160 divisors (see below), whose sum is σ = 49958212112640. Its totient is φ = 3443494048000.

The previous prime is 14204413013977. The next prime is 14204413014061. The reversal of 14204413014000 is 41031440241.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107543190 + ... + 107675189.

It is an arithmetic number, because the mean of its divisors is an integer number (312238825704).

Almost surely, 214204413014000 is an apocalyptic number.

14204413014000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14204413014000 is an abundant number, since it is smaller than the sum of its proper divisors (35753799098640).

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

14204413014000 is a wasteful number, since it uses less digits than its factorization.

14204413014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215218416 (or 215218400 counting only the distinct ones).

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

Adding to 14204413014000 its reverse (41031440241), we get a palindrome (14245444454241).

The spelling of 14204413014000 in words is "fourteen trillion, two hundred four billion, four hundred thirteen million, fourteen thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 22000 33000 66000 215218379 430436758 645655137 860873516 1076091895 1291310274 1721747032 2152183790 2367402169 2582620548 3228275685 3443494064 4304367580 4734804338 5165241096 5380459475 6456551370 7102206507 8608735160 9469608676 10330482192 10760918950 11837010845 12913102740 14204413014 16141378425 17217470320 18939217352 21521837900 23674021690 25826205480 26902297375 28408826028 32282756850 35511032535 37878434704 43043675800 47348043380 51652410960 53804594750 56817652056 59185054225 64565513700 71022065070 80706892125 86087351600 94696086760 107609189500 113635304112 118370108450 129131027400 142044130140 161413784250 177555162675 189392173520 215218379000 236740216900 258262054800 284088260280 295925271125 322827568500 355110325350 430436758000 473480433800 568176520560 591850542250 645655137000 710220650700 887775813375 946960867600 1183701084500 1291310274000 1420441301400 1775551626750 2367402169000 2840882602800 3551103253500 4734804338000 7102206507000 14204413014000