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131140241042140 = 2251110111934947109
BaseRepresentation
bin11101110100010101110111…
…011110111010101011011100
3122012022212212212200210122201
4131310111313132322223130
5114142100203201322030
61142524554532421244
736423366265512541
oct3564256736725334
9565285785623581
10131140241042140
113887029a281840
121285ba35477824
135823619339ca5
142455315c5abc8
1510263d2c962ca
hex7745777baadc

131140241042140 has 96 divisors (see below), whose sum is σ = 303659310870720. Its totient is φ = 47175621888000.

The previous prime is 131140241042131. The next prime is 131140241042141. The reversal of 131140241042140 is 41240142041131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 131140241042099 and 131140241042108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131140241042141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24034906 + ... + 28982014.

It is an arithmetic number, because the mean of its divisors is an integer number (3163117821570).

Almost surely, 2131140241042140 is an apocalyptic number.

131140241042140 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 131140241042140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151829655435360).

131140241042140 is an abundant number, since it is smaller than the sum of its proper divisors (172519069828580).

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

131140241042140 is a wasteful number, since it uses less digits than its factorization.

131140241042140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4948423 (or 4948421 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 131140241042140 its reverse (41240142041131), we get a palindrome (172380383083271).

The spelling of 131140241042140 in words is "one hundred thirty-one trillion, one hundred forty billion, two hundred forty-one million, forty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 1193 2020 2222 2386 4444 4772 5555 5965 11110 11930 13123 22220 23860 26246 52492 65615 120493 131230 240986 262460 481972 602465 1204930 1325423 2409860 2650846 4947109 5301692 6627115 9894218 13254230 19788436 24735545 26508460 49471090 54418199 98942180 108836398 217672796 272090995 499658009 544181990 999316018 1088363980 1998632036 2498290045 4996580090 5496238099 5901901037 9993160180 10992476198 11803802074 21984952396 23607604148 27481190495 29509505185 54962380990 59019010370 64920911407 109924761980 118038020740 129841822814 259683645628 324604557035 596092004737 649209114070 1192184009474 1298418228140 2384368018948 2980460023685 5960920047370 6557012052107 11921840094740 13114024104214 26228048208428 32785060260535 65570120521070 131140241042140