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114185412 = 2232112961163
BaseRepresentation
bin1101100111001…
…01010011000100
321221212012221100
412303211103010
5213212413122
615155220100
72554363035
oct663452304
9257765840
10114185412
1159500210
12322a7630
131a86c443
1411244a8c
15a057aac
hex6ce54c4

114185412 has 144 divisors (see below), whose sum is σ = 333103680. Its totient is φ = 32659200.

The previous prime is 114185411. The next prime is 114185417. The reversal of 114185412 is 214581411.

It is a happy number.

114185412 is a `hidden beast` number, since 114 + 1 + 8 + 541 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (114185411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 700443 + ... + 700605.

It is an arithmetic number, because the mean of its divisors is an integer number (2313220).

Almost surely, 2114185412 is an apocalyptic number.

114185412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114185412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166551840).

114185412 is an abundant number, since it is smaller than the sum of its proper divisors (218918268).

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

114185412 is a wasteful number, since it uses less digits than its factorization.

114185412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 269 counting only the distinct ones).

The product of its digits is 1280, while the sum is 27.

The square root of 114185412 is about 10685.7574368877. The cubic root of 114185412 is about 485.1434896229.

The spelling of 114185412 in words is "one hundred fourteen million, one hundred eighty-five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 61 66 87 99 116 122 132 163 174 183 198 244 261 319 326 348 366 396 489 522 549 638 652 671 732 957 978 1044 1098 1276 1342 1467 1769 1793 1914 1956 2013 2196 2684 2871 2934 3538 3586 3828 4026 4727 5307 5379 5742 5868 6039 7076 7172 8052 9454 9943 10614 10758 11484 12078 14181 15921 16137 18908 19459 19886 21228 21516 24156 28362 29829 31842 32274 38918 39772 42543 51997 56724 58377 59658 63684 64548 77836 85086 89487 103994 109373 116754 119316 155991 170172 175131 178974 207988 218746 233508 288347 311982 328119 350262 357948 437492 467973 576694 623964 656238 700524 865041 935946 984357 1153388 1312476 1730082 1871892 1968714 2595123 3171817 3460164 3937428 5190246 6343634 9515451 10380492 12687268 19030902 28546353 38061804 57092706 114185412