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14144302110300 = 22352412087551003
BaseRepresentation
bin1100110111010011101000…
…0110100101011001011100
31212002011220201210200101020
43031310322012211121130
53323220012320012200
650025445214044140
72656614664142355
oct315647206453134
955064821720336
1014144302110300
11456362388898a
1217053161a9650
137b7a56bc3b2b
1436c8331b2d2c
15197dd466dea0
hexcdd3a1a565c

14144302110300 has 144 divisors (see below), whose sum is σ = 41942495008512. Its totient is φ = 3678048550400.

The previous prime is 14144302110299. The next prime is 14144302110311. The reversal of 14144302110300 is 301120344141.

It is a super-2 number, since 2×141443021103002 (a number of 27 digits) contains 22 as substring.

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, 25394599 + ... + 25945601.

It is an arithmetic number, because the mean of its divisors is an integer number (291267326448).

Almost surely, 214144302110300 is an apocalyptic number.

14144302110300 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 14144302110300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20971247504256).

14144302110300 is an abundant number, since it is smaller than the sum of its proper divisors (27798192898212).

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

14144302110300 is a wasteful number, since it uses less digits than its factorization.

14144302110300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553148 (or 553141 counting only the distinct ones).

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

Adding to 14144302110300 its reverse (301120344141), we get a palindrome (14445422454441).

The spelling of 14144302110300 in words is "fourteen trillion, one hundred forty-four billion, three hundred two million, one hundred ten thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 300 410 492 615 820 1025 1230 2050 2087 2460 3075 4100 4174 6150 6261 8348 10435 12300 12522 20870 25044 31305 41740 52175 62610 85567 104350 125220 156525 171134 208700 256701 313050 342268 427835 513402 551003 626100 855670 1026804 1102006 1283505 1653009 1711340 2139175 2204012 2567010 2755015 3306018 4278350 5134020 5510030 6417525 6612036 8265045 8556700 11020060 12835050 13775075 16530090 22591123 25670100 27550150 33060180 41325225 45182246 55100300 67773369 82650450 90364492 112955615 135546738 165300900 225911230 271093476 338866845 451822460 564778075 677733690 1129556150 1149943261 1355467380 1694334225 2259112300 2299886522 3388668450 3449829783 4599773044 5749716305 6777336900 6899659566 11499432610 13799319132 17249148915 22998865220 28748581525 34498297830 47147673701 57497163050 68996595660 86245744575 94295347402 114994326100 141443021103 172491489150 188590694804 235738368505 282886042206 344982978300 471476737010 565772084412 707215105515 942953474020 1178691842525 1414430211030 2357383685050 2828860422060 3536075527575 4714767370100 7072151055150 14144302110300