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114313143204 = 2232134122732621
BaseRepresentation
bin110101001110110011…
…0000010001110100100
3101221001200100100112200
41222131212002032210
53333103131040304
6124303103214500
711154533453661
oct1523546021644
9357050310480
10114313143204
1144530875477
121a1a32a7430
13aa19c6b850
145765d6ca68
152e90ac5e39
hex1a9d9823a4

114313143204 has 144 divisors (see below), whose sum is σ = 319037597424. Its totient is φ = 34287206400.

The previous prime is 114313143173. The next prime is 114313143211. The reversal of 114313143204 is 402341313411.

114313143204 is a `hidden beast` number, since 1 + 1 + 4 + 313 + 143 + 204 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 678081600 + 113635061604 = 26040^2 + 337098^2 .

It is a super-2 number, since 2×1143131432042 (a number of 23 digits) contains 22 as substring.

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, 43613014 + ... + 43615634.

It is an arithmetic number, because the mean of its divisors is an integer number (2215538871).

Almost surely, 2114313143204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114313143204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159518798712).

114313143204 is an abundant number, since it is smaller than the sum of its proper divisors (204724454220).

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

114313143204 is a wasteful number, since it uses less digits than its factorization.

114313143204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4958 (or 4953 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 114313143204 its reverse (402341313411), we get a palindrome (516654456615).

The spelling of 114313143204 in words is "one hundred fourteen billion, three hundred thirteen million, one hundred forty-three thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 41 52 78 82 117 123 156 164 234 246 369 468 492 533 738 1066 1476 1599 2132 2273 2621 3198 4546 4797 5242 6396 6819 7863 9092 9594 10484 13638 15726 19188 20457 23589 27276 29549 31452 34073 40914 47178 59098 68146 81828 88647 93193 94356 102219 107461 118196 136292 177294 186386 204438 214922 265941 279579 306657 322383 354588 372772 408876 429844 531882 559158 613314 644766 838737 967149 1063764 1118316 1211509 1226628 1289532 1396993 1677474 1934298 2423018 2793986 3354948 3634527 3868596 4190979 4846036 5587972 5957533 7269054 8381958 10903581 11915066 12572937 14538108 16763916 17872599 21807162 23830132 25145874 35745198 43614324 50291748 53617797 71490396 77447929 107235594 154895858 214471188 232343787 244258853 309791716 464687574 488517706 697031361 732776559 929375148 977035412 1394062722 1465553118 2198329677 2788125444 2931106236 3175365089 4396659354 6350730178 8793318708 9526095267 12701460356 19052190534 28578285801 38104381068 57156571602 114313143204