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114024520252552 = 237131957171441933
BaseRepresentation
bin11001111011010001100111…
…000001100111110010001000
3112221201122012212102101002011
4121323101213001213302020
5104421134204141040202
61042302050315545304
733005666623320520
oct3173214701476210
9487648185371064
10114024520252552
1133371589084498
121095687115b234
134b8160a0bc670
142022b5da24680
15d2b08d1c7bd7
hex67b467067c88

114024520252552 has 128 divisors (see below), whose sum is σ = 277031281363200. Its totient is φ = 42726959889408.

The previous prime is 114024520252543. The next prime is 114024520252589. The reversal of 114024520252552 is 255252025420411.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 78356578 + ... + 79798510.

It is an arithmetic number, because the mean of its divisors is an integer number (2164306885650).

Almost surely, 2114024520252552 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 114024520252552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138515640681600).

114024520252552 is an abundant number, since it is smaller than the sum of its proper divisors (163006761110648).

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

114024520252552 is a wasteful number, since it uses less digits than its factorization.

114024520252552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447695 (or 1447691 counting only the distinct ones).

The product of its (nonzero) digits is 320000, while the sum is 40.

Adding to 114024520252552 its reverse (255252025420411), we get a palindrome (369276545672963).

The spelling of 114024520252552 in words is "one hundred fourteen trillion, twenty-four billion, five hundred twenty million, two hundred fifty-two thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 19 26 28 38 52 56 76 91 104 133 152 182 247 266 364 494 532 728 988 1064 1729 1976 3458 5717 6916 11434 13832 22868 40019 45736 74321 80038 108623 148642 160076 217246 297284 320152 434492 520247 594568 760361 868984 1040494 1412099 1441933 1520722 2080988 2824198 2883866 3041444 4161976 5648396 5767732 6082888 9884693 10093531 11296792 11535464 18745129 19769386 20187062 27396727 37490258 39538772 40374124 54793454 74980516 79077544 80748248 109586908 131215903 149961032 191777089 219173816 262431806 356157451 383554178 524863612 712314902 767108356 1049727224 1424629804 1534216712 2493102157 2849259608 4986204314 8243530961 9972408628 16487061922 19944817256 32974123844 57704716727 65948247688 107165902493 115409433454 156627088259 214331804986 230818866908 313254176518 428663609972 461637733816 626508353036 750161317451 857327219944 1096389617813 1253016706072 1500322634902 2036152147367 2192779235626 3000645269804 4072304294734 4385558471252 6001290539608 8144608589468 8771116942504 14253065031569 16289217178936 28506130063138 57012260126276 114024520252552