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14001443003112 = 2334150978735521
BaseRepresentation
bin1100101110111111011100…
…0010010101101011101000
31211120112011122012002220020
43023233313002111223220
53313344423402044422
645440101335400440
72643366544566525
oct313576702255350
954515148162806
1014001443003112
114508a84616244
1216a16a6b23120
137a743abab146
1436595dd7614c
1519432293995c
hexcbbf7095ae8

14001443003112 has 128 divisors (see below), whose sum is σ = 35974465027200. Its totient is φ = 4538467123200.

The previous prime is 14001443003081. The next prime is 14001443003129. The reversal of 14001443003112 is 21130034410041.

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

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, 394155912 + ... + 394191432.

It is an arithmetic number, because the mean of its divisors is an integer number (281050508025).

Almost surely, 214001443003112 is an apocalyptic number.

14001443003112 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 14001443003112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17987232513600).

14001443003112 is an abundant number, since it is smaller than the sum of its proper divisors (21973022024088).

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

14001443003112 is a wasteful number, since it uses less digits than its factorization.

14001443003112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36867 (or 36863 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 14001443003112 its reverse (21130034410041), we get a palindrome (35131477413153).

The spelling of 14001443003112 in words is "fourteen trillion, one billion, four hundred forty-three million, three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 509 787 984 1018 1527 1574 2036 2361 3054 3148 4072 4722 6108 6296 9444 12216 18888 20869 32267 35521 41738 62607 64534 71042 83476 96801 106563 125214 129068 142084 166952 193602 213126 250428 258136 284168 387204 400583 426252 500856 774408 801166 852504 1201749 1456361 1602332 2403498 2912722 3204664 4369083 4806996 5825444 8738166 9613992 11650888 16423903 17476332 18080189 27955027 32847806 34952664 36160378 49271709 54240567 55910054 65695612 72320756 83865081 98543418 108481134 111820108 131391224 144641512 167730162 197086836 216962268 223640216 335460324 394173672 433924536 670920648 741287749 1146156107 1482575498 2223863247 2292312214 2965150996 3438468321 4447726494 4584624428 5930301992 6876936642 8895452988 9169248856 13753873284 14229108743 17790905976 27507746568 28458217486 42687326229 56916434972 85374652458 113832869944 170749304916 341498609832 583393458463 1166786916926 1750180375389 2333573833852 3500360750778 4667147667704 7000721501556 14001443003112