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14110523200422 = 23311232933525017
BaseRepresentation
bin1100110101010101110010…
…1110010001001110100110
31211221221201121211021012000
43031111130232101032212
53322141322414403142
650002141310510130
72654310630143505
oct315253456211646
954857647737160
1014110523200422
11455026a538a40
1216ba869805346
137b4802969cac
1436ad4ad2683c
151970a8de314c
hexcd55cb913a6

14110523200422 has 128 divisors (see below), whose sum is σ = 35816438891520. Its totient is φ = 4076046501120.

The previous prime is 14110523200421. The next prime is 14110523200427. The reversal of 14110523200422 is 22400232501141.

14110523200422 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 0 + 5 + 232 + 0 + 0 + 422 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14110523200421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2240458 + ... + 5765474.

It is an arithmetic number, because the mean of its divisors is an integer number (279815928840).

Almost surely, 214110523200422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14110523200422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17908219445760).

14110523200422 is an abundant number, since it is smaller than the sum of its proper divisors (21705915691098).

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

14110523200422 is a wasteful number, since it uses less digits than its factorization.

14110523200422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3525355 (or 3525349 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 14110523200422 its reverse (22400232501141), we get a palindrome (36510755701563).

The spelling of 14110523200422 in words is "fourteen trillion, one hundred ten billion, five hundred twenty-three million, two hundred thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 99 138 198 207 253 293 297 414 506 586 594 621 759 879 1242 1518 1758 2277 2637 3223 4554 5274 6446 6739 6831 7911 9669 13478 13662 15822 19338 20217 29007 40434 58014 60651 74129 87021 121302 148258 174042 181953 222387 363906 444774 667161 1334322 2001483 3525017 4002966 7050034 10575051 21150102 31725153 38775187 63450306 77550374 81075391 95175459 116325561 162150782 190350918 232651122 243226173 348976683 486452346 697953366 729678519 891829301 1032829981 1046930049 1459357038 1783658602 2065659962 2093860098 2189035557 2675487903 3098489943 4378071114 5350975806 6196979886 8026463709 9295469829 11361129791 16052927418 18590939658 22722259582 23755089563 24079391127 27886409487 34083389373 47510179126 48158782254 55772818974 68166778746 71265268689 102250168119 142530537378 204500336238 213795806067 261305985193 306750504357 427591612134 522611970386 613501008714 641387418201 783917955579 1282774836402 1567835911158 2351753866737 4703507733474 7055261600211 14110523200422