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140124204224334 = 23511118872205017
BaseRepresentation
bin11111110111000100110101…
…011010101100111101001110
3200101010202001201101212200000
4133313010311122230331032
5121331243332240134314
61214004100514345130
741341432256545221
oct3767046532547516
9611122051355600
10140124204224334
1140714383288330
121387101458b1a6
13602586a922475
142686094b495b8
15112ee43608209
hex7f71356acf4e

140124204224334 has 96 divisors (see below), whose sum is σ = 343498480206336. Its totient is φ = 42458288685120.

The previous prime is 140124204224299. The next prime is 140124204224399. The reversal of 140124204224334 is 433422402421041.

140124204224334 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 2 + 420 + 4 + 224 + 3 + 3 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62445394 + ... + 64650410.

It is an arithmetic number, because the mean of its divisors is an integer number (3578109168816).

Almost surely, 2140124204224334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140124204224334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171749240103168).

140124204224334 is an abundant number, since it is smaller than the sum of its proper divisors (203374275982002).

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

140124204224334 is a wasteful number, since it uses less digits than its factorization.

140124204224334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216932 (or 2216920 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 140124204224334 its reverse (433422402421041), we get a palindrome (573546606645375).

The spelling of 140124204224334 in words is "one hundred forty trillion, one hundred twenty-four billion, two hundred four million, two hundred twenty-four thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 486 594 891 1782 2673 5346 11887 23774 35661 71322 106983 130757 213966 261514 320949 392271 641898 784542 962847 1176813 1925694 2205017 2353626 2888541 3530439 4410034 5777082 6615051 7060878 10591317 13230102 19845153 21182634 24255187 31773951 39690306 48510374 59535459 63547902 72765561 119070918 145531122 178606377 218296683 357212754 436593366 535819131 654890049 1071638262 1309780098 1964670147 3929340294 5894010441 11788020882 26211037079 52422074158 78633111237 157266222474 235899333711 288321407869 471798667422 576642815738 707698001133 864964223607 1415396002266 1729928447214 2123094003399 2594892670821 4246188006798 5189785341642 6369282010197 7784678012463 12738564020394 15569356024926 23354034037389 46708068074778 70062102112167 140124204224334