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14224231132300 = 22527291823384367
BaseRepresentation
bin1100111011111101011000…
…1111100110110010001100
31212100211020010100200212101
43032333112033212302030
53331022211132213200
650130304354244444
72665444464465130
oct316772617466214
955324203320771
1014224231132300
11459450a716162
121718902286724
137c2454406c17
143726567533c0
1519a0117bc26a
hexcefd63e6c8c

14224231132300 has 144 divisors (see below), whose sum is σ = 36512623042560. Its totient is φ = 4706115805440.

The previous prime is 14224231132291. The next prime is 14224231132327. The reversal of 14224231132300 is 323113242241.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36814717 + ... + 37199083.

It is an arithmetic number, because the mean of its divisors is an integer number (253559882240).

Almost surely, 214224231132300 is an apocalyptic number.

14224231132300 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 14224231132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18256311521280).

14224231132300 is an abundant number, since it is smaller than the sum of its proper divisors (22288391910260).

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

14224231132300 is a wasteful number, since it uses less digits than its factorization.

14224231132300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386240 (or 386233 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 14224231132300 its reverse (323113242241), we get a palindrome (14547344374541).

The spelling of 14224231132300 in words is "fourteen trillion, two hundred twenty-four billion, two hundred thirty-one million, one hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 29 35 50 58 70 100 116 140 145 175 203 290 350 406 580 700 725 812 1015 1450 1823 2030 2900 3646 4060 5075 7292 9115 10150 12761 18230 20300 25522 36460 45575 51044 52867 63805 91150 105734 127610 182300 211468 255220 264335 319025 370069 384367 528670 638050 740138 768734 1057340 1276100 1321675 1480276 1537468 1850345 1921835 2643350 2690569 3700690 3843670 5286700 5381138 7401380 7687340 9251725 9609175 10762276 11146643 13452845 18503450 19218350 22293286 26905690 37006900 38436700 44586572 53811380 55733215 67264225 78026501 111466430 134528450 156053002 222932860 269056900 278666075 312106004 390132505 557332150 700701041 780265010 1114664300 1401402082 1560530020 1950662525 2802804164 3503505205 3901325050 4904907287 7007010410 7802650100 9809814574 14014020820 17517526025 19619629148 20320330189 24524536435 35035052050 40640660378 49049072870 70070104100 81281320756 98098145740 101601650945 122622682175 142242311323 203203301890 245245364350 284484622646 406406603780 490490728700 508008254725 568969245292 711211556615 1016016509450 1422423113230 2032033018900 2844846226460 3556057783075 7112115566150 14224231132300