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40452330141314 = 27213173135967341
BaseRepresentation
bin10010011001010100010101…
…10001001011011010000010
312022020012112102212222220022
421030222022301023122002
520300232333004010224
6222011313253013442
711343404310566300
oct1114521261133202
9168205472788808
1040452330141314
1111986811858143
124653b23624282
13197583b642060
149dbc90645270
154a23d083265e
hex24ca8ac4b682

40452330141314 has 96 divisors (see below), whose sum is σ = 80743436259696. Its totient is φ = 15013636485120.

The previous prime is 40452330141313. The next prime is 40452330141317. The reversal of 40452330141314 is 41314103325404.

It can be written as a sum of positive squares in 8 ways, for example, as 59733804025 + 40392596337289 = 244405^2 + 6355517^2 .

It is a super-3 number, since 3×404523301413143 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (40452330141313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3795284 + ... + 9762624.

Almost surely, 240452330141314 is an apocalyptic number.

40452330141314 is a deficient number, since it is larger than the sum of its proper divisors (40291106118382).

40452330141314 is a wasteful number, since it uses less digits than its factorization.

40452330141314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5967700 (or 5967693 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

Adding to 40452330141314 its reverse (41314103325404), we get a palindrome (81766433466718).

The spelling of 40452330141314 in words is "forty trillion, four hundred fifty-two billion, three hundred thirty million, one hundred forty-one thousand, three hundred fourteen".

Divisors: 1 2 7 13 14 17 26 34 49 91 98 119 182 221 238 313 442 626 637 833 1274 1547 1666 2191 3094 4069 4382 5321 8138 10642 10829 15337 21658 28483 30674 37247 56966 69173 74494 138346 199381 260729 398762 484211 521458 968422 3389477 5967341 6778954 11934682 41771387 77575433 83542774 101444797 155150866 202889594 292399709 543028031 584799418 710113579 1086056062 1318782361 1420227158 1867777733 2637564722 3735555466 3801196217 4970795053 7602392434 9231476527 9941590106 13074444131 18462953054 24281110529 26148888262 31752221461 48562221058 63504442922 64620335689 91521108917 129240671378 169967773703 183042217834 222265550227 339935547406 412778878993 444531100454 825557757986 1189774415921 1555858851589 2379548831842 2889452152951 3111717703178 5778904305902 20226165070657 40452330141314