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14120502102 = 23272337313063
BaseRepresentation
bin11010010011010010…
…11100001101010110
31100110002012211101100
431021221130031112
5212404322031402
610253055210530
71006630200420
oct151151341526
940402184340
1014120502102
115a96723253
1228a0b16a46
1314405804b5
1497d4c3810
155799d771c
hex349a5c356

14120502102 has 96 divisors (see below), whose sum is σ = 36585888768. Its totient is φ = 3848378688.

The previous prime is 14120502083. The next prime is 14120502127. The reversal of 14120502102 is 20120502141.

14120502102 is a `hidden beast` number, since 1 + 41 + 20 + 502 + 102 = 666.

14120502102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×141205021022 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1074423 + ... + 1087485.

It is an arithmetic number, because the mean of its divisors is an integer number (381103008).

Almost surely, 214120502102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14120502102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18292944384).

14120502102 is an abundant number, since it is smaller than the sum of its proper divisors (22465386666).

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

14120502102 is a wasteful number, since it uses less digits than its factorization.

14120502102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13474 (or 13471 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The spelling of 14120502102 in words is "fourteen billion, one hundred twenty million, five hundred two thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 126 138 161 207 322 373 414 483 746 966 1119 1449 2238 2611 2898 3357 5222 6714 7833 8579 13063 15666 17158 23499 25737 26126 39189 46998 51474 60053 77211 78378 91441 117567 120106 154422 180159 182882 235134 274323 300449 360318 540477 548646 600898 822969 901347 1080954 1645938 1802694 2103143 2704041 4206286 4872499 5408082 6309429 9744998 12618858 14617497 18928287 29234994 34107493 37856574 43852491 68214986 87704982 102322479 112067477 204644958 224134954 306967437 336202431 613934874 672404862 784472339 1008607293 1568944678 2017214586 2353417017 4706834034 7060251051 14120502102