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14111000142100 = 22525310924426173
BaseRepresentation
bin1100110101010111100100…
…1001101010000100010100
31211221222221212021102011121
43031111321021222010110
53322143312014021400
650002300505213324
72654325511113151
oct315257111520424
954858855242147
1014111000142100
114550494786314
1216ba981491244
137b487a70a8c4
1436ad943d9228
151970d5c0421a
hexcd57926a114

14111000142100 has 72 divisors (see below), whose sum is σ = 31484849762520. Its totient is φ = 5487095278080.

The previous prime is 14111000142049. The next prime is 14111000142121. The reversal of 14111000142100 is 124100011141.

It can be written as a sum of positive squares in 12 ways, for example, as 55969150084 + 14055030992016 = 236578^2 + 3749004^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11635387 + ... + 12790786.

It is an arithmetic number, because the mean of its divisors is an integer number (437289580035).

Almost surely, 214111000142100 is an apocalyptic number.

14111000142100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14111000142100 is an abundant number, since it is smaller than the sum of its proper divisors (17373849620420).

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

14111000142100 is a wasteful number, since it uses less digits than its factorization.

14111000142100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24426349 (or 24426342 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 14111000142100 its reverse (124100011141), we get a palindrome (14235100153241).

The spelling of 14111000142100 in words is "fourteen trillion, one hundred eleven billion, one hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 109 212 218 265 436 530 545 1060 1090 1325 2180 2650 2725 5300 5450 5777 10900 11554 23108 28885 57770 115540 144425 288850 577700 24426173 48852346 97704692 122130865 244261730 488523460 610654325 1221308650 1294587169 2442617300 2589174338 2662452857 5178348676 5324905714 6472935845 10649811428 12945871690 13312264285 25891743380 26624528570 32364679225 53249057140 64729358450 66561321425 129458716900 133122642850 141110001421 266245285700 282220002842 564440005684 705550007105 1411100014210 2822200028420 3527750035525 7055500071050 14111000142100