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131142422240312 = 2372439762066049
BaseRepresentation
bin11101110100010111111001…
…011111100001110000111000
3122012100002111220000011001012
4131310113321133201300320
5114142114140043142222
61142525555211213052
736423504322423100
oct3564277137416070
9565302456004035
10131142422240312
113887120952a25a
1212860343a47188
1358238a61b76b2
142455481802200
1510264ae4ec1e2
hex7745f97e1c38

131142422240312 has 48 divisors (see below), whose sum is σ = 286689248010000. Its totient is φ = 56075868076032.

The previous prime is 131142422240309. The next prime is 131142422240327. The reversal of 131142422240312 is 213042224241131.

It is a super-2 number, since 2×1311424222403122 (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 11 ways as a sum of consecutive naturals, for example, 380860937 + ... + 381205112.

It is an arithmetic number, because the mean of its divisors is an integer number (5972692666875).

Almost surely, 2131142422240312 is an apocalyptic number.

It is an amenable number.

131142422240312 is an abundant number, since it is smaller than the sum of its proper divisors (155546825769688).

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

131142422240312 is a wasteful number, since it uses less digits than its factorization.

131142422240312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762066508 (or 762066497 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 131142422240312 its reverse (213042224241131), we get a palindrome (344184646481443).

The spelling of 131142422240312 in words is "one hundred thirty-one trillion, one hundred forty-two billion, four hundred twenty-two million, two hundred forty thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 439 878 1756 3073 3512 6146 12292 21511 24584 43022 86044 172088 762066049 1524132098 3048264196 5334462343 6096528392 10668924686 21337849372 37341236401 42675698744 74682472802 149364945604 298729891208 334546995511 669093991022 1338187982044 2341828968577 2676375964088 4683657937154 9367315874308 16392802780039 18734631748616 32785605560078 65571211120156 131142422240312