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14003234012200 = 2352232314269539
BaseRepresentation
bin1100101111000110000111…
…0010011111110000101000
31211120200210110021210111011
43023301201302133300220
53313412110401342300
645440555155113304
72643462123116416
oct313614162376050
954520713253434
1014003234012200
114509813599944
1216a1b068a2834
137a7664c70a34
14365a8db8c2b6
151943c9cb8eba
hexcbc61c9fc28

14003234012200 has 144 divisors (see below), whose sum is σ = 35132507625600. Its totient is φ = 5184926947200.

The previous prime is 14003234012171. The next prime is 14003234012219. The reversal of 14003234012200 is 221043230041.

14003234012200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1145031 + ... + 5414569.

It is an arithmetic number, because the mean of its divisors is an integer number (243975747400).

Almost surely, 214003234012200 is an apocalyptic number.

14003234012200 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 14003234012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17566253812800).

14003234012200 is an abundant number, since it is smaller than the sum of its proper divisors (21129273613400).

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

14003234012200 is a wasteful number, since it uses less digits than its factorization.

14003234012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4269632 (or 4269600 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 14003234012200 its reverse (221043230041), we get a palindrome (14224277242241).

The spelling of 14003234012200 in words is "fourteen trillion, three billion, two hundred thirty-four million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 31 40 46 50 62 92 100 115 124 155 184 200 230 248 310 460 529 575 620 713 775 920 1058 1150 1240 1426 1550 2116 2300 2645 2852 3100 3565 4232 4600 5290 5704 6200 7130 10580 13225 14260 16399 17825 21160 26450 28520 32798 35650 52900 65596 71300 81995 105800 131192 142600 163990 327980 409975 655960 819950 1639900 3279800 4269539 8539078 17078156 21347695 34156312 42695390 85390780 98199397 106738475 132355709 170781560 196398794 213476950 264711418 392797588 426953900 490996985 529422836 661778545 785595176 853907800 981993970 1058845672 1323557090 1963987940 2258586131 2454984925 2647114180 3044181307 3308892725 3927975880 4517172262 4909969850 5294228360 6088362614 6617785450 9034344524 9819939700 11292930655 12176725228 13235570900 15220906535 18068689048 19639879400 22585861310 24353450456 26471141800 30441813070 45171722620 56464653275 60883626140 70016170061 76104532675 90343445240 112929306550 121767252280 140032340122 152209065350 225858613100 280064680244 304418130700 350080850305 451717226200 560129360488 608836261400 700161700610 1400323401220 1750404251525 2800646802440 3500808503050 7001617006100 14003234012200