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14100123142125 = 3253101124093493
BaseRepresentation
bin1100110100101111000011…
…0101001100011111101101
31211220221212211021120020200
43031023300311030133231
53322004023011022000
645553301313304113
72653462124125026
oct315136065143755
954827784246220
1014100123142125
114546912a19239
1216b8846865039
137b383611a847
1436a6419c5c4d
15196b9ad5e500
hexcd2f0d4c7ed

14100123142125 has 48 divisors (see below), whose sum is σ = 25669483794864. Its totient is φ = 7445609520000.

The previous prime is 14100123142123. The next prime is 14100123142151. The reversal of 14100123142125 is 52124132100141.

14100123142125 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 0 + 1 + 231 + 421 + 2 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5457951923076 + 8642171219049 = 2336226^2 + 2939757^2 .

It is not a de Polignac number, because 14100123142125 - 21 = 14100123142123 is a prime.

It is a super-3 number, since 3×141001231421253 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14100123142123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61933122 + ... + 62160371.

It is an arithmetic number, because the mean of its divisors is an integer number (534780912393).

Almost surely, 214100123142125 is an apocalyptic number.

14100123142125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14100123142125 is a deficient number, since it is larger than the sum of its proper divisors (11569360652739).

14100123142125 is a wasteful number, since it uses less digits than its factorization.

14100123142125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124093615 (or 124093602 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 14100123142125 its reverse (52124132100141), we get a palindrome (66224255242266).

The spelling of 14100123142125 in words is "fourteen trillion, one hundred billion, one hundred twenty-three million, one hundred forty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 101 125 225 303 375 505 909 1125 1515 2525 4545 7575 12625 22725 37875 113625 124093493 372280479 620467465 1116841437 1861402395 3102337325 5584207185 9307011975 12533442793 15511686625 27921035925 37600328379 46535059875 62667213965 112800985137 139605179625 188001641895 313336069825 564004925685 940008209475 1566680349125 2820024628425 4700041047375 14100123142125