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14110523432145 = 3257296631510141
BaseRepresentation
bin1100110101010101110010…
…1111001001110011010001
31211221221201122021001001100
43031111130233021303101
53322141322444312040
650002141315455013
72654310632130210
oct315253457116321
954857648231040
1014110523432145
11455026a687048
1216ba8698b7469
137b4802a1b5ca
1436ad4ad87077
151970a8e3bb30
hexcd55cbc9cd1

14110523432145 has 48 divisors (see below), whose sum is σ = 27953235827712. Its totient is φ = 6450303265920.

The previous prime is 14110523431997. The next prime is 14110523432149. The reversal of 14110523432145 is 54123432501141.

14110523432145 is a `hidden beast` number, since 1 + 4 + 110 + 523 + 4 + 3 + 2 + 14 + 5 = 666.

It is not a de Polignac number, because 14110523432145 - 28 = 14110523431889 is a prime.

It is a super-3 number, since 3×141105234321453 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (14110523432149) 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, 8588775 + ... + 10098915.

It is an arithmetic number, because the mean of its divisors is an integer number (582359079744).

Almost surely, 214110523432145 is an apocalyptic number.

14110523432145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14110523432145 is a deficient number, since it is larger than the sum of its proper divisors (13842712395567).

14110523432145 is a wasteful number, since it uses less digits than its factorization.

14110523432145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539822 (or 1539819 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 14110523432145 its reverse (54123432501141), we get a palindrome (68233955933286).

The spelling of 14110523432145 in words is "fourteen trillion, one hundred ten billion, five hundred twenty-three million, four hundred thirty-two thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 29663 88989 148315 207641 266967 444945 622923 1038205 1334835 1510141 1868769 3114615 4530423 7550705 9343845 10570987 13591269 22652115 31712961 52854935 67956345 95138883 158564805 475694415 44795312483 134385937449 223976562415 313567187381 403157812347 671929687245 940701562143 1567835936905 2015789061735 2822104686429 4703507810715 14110523432145