Search a number
-
+
126291666289240 = 23541732591407137
BaseRepresentation
bin11100101101110010010001…
…111010000100001001011000
3121120011100212100220020120201
4130231302101322010021120
5113023130313032223430
61124333331320431544
735413162136226124
oct3455622172041130
9546140770806521
10126291666289240
1137270aa42266a1
12121b82076185b4
135561339ba346a
14232879926a584
15e902093348ca
hex72dc91e84258

126291666289240 has 128 divisors (see below), whose sum is σ = 295188990405120. Its totient is φ = 48590541619200.

The previous prime is 126291666289231. The next prime is 126291666289297. The reversal of 126291666289240 is 42982666192621.

It is a happy number.

It is a super-2 number, since 2×1262916662892402 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 309990952 + ... + 310398088.

It is an arithmetic number, because the mean of its divisors is an integer number (2306163987540).

Almost surely, 2126291666289240 is an apocalyptic number.

126291666289240 is a gapful number since it is divisible by the number (10) 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 126291666289240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147594495202560).

126291666289240 is an abundant number, since it is smaller than the sum of its proper divisors (168897324115880).

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

126291666289240 is a wasteful number, since it uses less digits than its factorization.

126291666289240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409853 (or 409849 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 64.

The spelling of 126291666289240 in words is "one hundred twenty-six trillion, two hundred ninety-one billion, six hundred sixty-six million, two hundred eighty-nine thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 73 82 146 164 205 292 328 365 410 584 730 820 1460 1640 2591 2920 2993 5182 5986 10364 11972 12955 14965 20728 23944 25910 29930 51820 59860 103640 106231 119720 189143 212462 378286 407137 424924 531155 756572 814274 849848 945715 1062310 1513144 1628548 1891430 2035685 2124620 3257096 3782860 4071370 4249240 7565720 7754863 8142740 15509726 16285480 16692617 29721001 31019452 33385234 38774315 59442002 62038904 66770468 77548630 83463085 118884004 133540936 148605005 155097260 166926170 237768008 297210010 310194520 333852340 594420020 667704680 1054891967 1188840040 1218561041 2109783934 2437122082 4219567868 4874244164 5274459835 6092805205 8439135736 9748488328 10548919670 12185610410 21097839340 24371220820 42195678680 43250570647 48742441640 77007113591 86501141294 154014227182 173002282588 216252853235 308028454364 346004565176 385035567955 432505706470 616056908728 770071135910 865011412940 1540142271820 1730022825880 3080284543640 3157291657231 6314583314462 12629166628924 15786458286155 25258333257848 31572916572310 63145833144620 126291666289240