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14003331113112 = 233111312811440953
BaseRepresentation
bin1100101111000110011110…
…0100111010000010011000
31211120201001020000000220020
43023301213210322002120
53313412310231104422
645441012544230440
72643464412345435
oct313614744720230
954521036000806
1014003331113112
114509863390230
1216a1b3330b420
137a767c10aab3
14365a9ca26b8c
151943d359995c
hexcbc6793a098

14003331113112 has 128 divisors (see below), whose sum is σ = 38619411621120. Its totient is φ = 4196052224000.

The previous prime is 14003331113077. The next prime is 14003331113141. The reversal of 14003331113112 is 21131113330041.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8997628 + ... + 10438580.

It is an arithmetic number, because the mean of its divisors is an integer number (301714153290).

Almost surely, 214003331113112 is an apocalyptic number.

14003331113112 is a gapful number since it is divisible by the number (12) 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 14003331113112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19309705810560).

14003331113112 is an abundant number, since it is smaller than the sum of its proper divisors (24616080508008).

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

14003331113112 is a wasteful number, since it uses less digits than its factorization.

14003331113112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441385 (or 1441381 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 14003331113112 its reverse (21131113330041), we get a palindrome (35134444443153).

The spelling of 14003331113112 in words is "fourteen trillion, three billion, three hundred thirty-one million, one hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 131 132 262 264 281 393 524 562 786 843 1048 1124 1441 1572 1686 2248 2882 3091 3144 3372 4323 5764 6182 6744 8646 9273 11528 12364 17292 18546 24728 34584 36811 37092 73622 74184 110433 147244 220866 294488 404921 441732 809842 883464 1214763 1440953 1619684 2429526 2881906 3239368 4322859 4859052 5763812 8645718 9718104 11527624 15850483 17291436 31700966 34582872 47551449 63401932 95102898 126803864 188764843 190205796 377529686 380411592 404907793 566294529 755059372 809815586 1132589058 1214723379 1510118744 1619631172 2076413273 2265178116 2429446758 3239262344 4152826546 4453985723 4530356232 4858893516 6229239819 8305653092 8907971446 9717787032 12458479638 13361957169 16611306184 17815942892 24916959276 26723914338 35631885784 49833918552 53042920883 53447828676 106085841766 106895657352 159128762649 212171683532 318257525298 424343367064 583472129713 636515050596 1166944259426 1273030101192 1750416389139 2333888518852 3500832778278 4667777037704 7001665556556 14003331113112