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14054023440135 = 3257376037199741
BaseRepresentation
bin1100110010000011010100…
…0100110010011100000111
31211202112220001120001122200
43030200311010302130013
53320230120000041020
645520155040525543
72650240542124350
oct314406504623407
954675801501580
1014054023440135
114529306931878
1216ab9200208b3
137ac39a431583
1436830b294d27
1519589dae8590
hexcc835132707

14054023440135 has 96 divisors (see below), whose sum is σ = 28597672551552. Its totient is φ = 6249989237760.

The previous prime is 14054023440109. The next prime is 14054023440143. The reversal of 14054023440135 is 53104432045041.

14054023440135 is a `hidden beast` number, since 1 + 40 + 5 + 40 + 2 + 3 + 440 + 135 = 666.

It is not a de Polignac number, because 14054023440135 - 230 = 14052949698311 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 14054023440135.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70261365 + ... + 70461105.

It is an arithmetic number, because the mean of its divisors is an integer number (297892422412).

Almost surely, 214054023440135 is an apocalyptic number.

14054023440135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14054023440135 is an abundant number, since it is smaller than the sum of its proper divisors (14543649111417).

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

14054023440135 is a wasteful number, since it uses less digits than its factorization.

14054023440135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205833 (or 205830 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 14054023440135 its reverse (53104432045041), we get a palindrome (67158455485176).

The spelling of 14054023440135 in words is "fourteen trillion, fifty-four billion, twenty-three million, four hundred forty thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 35 37 45 63 105 111 185 259 315 333 555 777 1295 1665 2331 3885 6037 11655 18111 30185 42259 54333 90555 126777 199741 211295 223369 271665 380331 599223 633885 670107 998705 1116845 1398187 1563583 1797669 1901655 2010321 2996115 3350535 4194561 4690749 6990935 7390417 7817915 8988345 10051605 12583683 14072247 20972805 22171251 23453745 36952085 51732919 62918415 66513753 70361235 110856255 155198757 258664595 332568765 465596271 775993785 1205836417 2327981355 3617509251 6029182085 8440854919 10852527753 18087546255 25322564757 42204274595 44615947429 54262638765 75967694271 126612823785 133847842287 223079737145 312311632003 379838471355 401543526861 669239211435 936934896009 1561558160015 2007717634305 2810804688027 4684674480045 14054023440135