Search a number
-
+
131243411341140 = 22357312484312717
BaseRepresentation
bin11101110101110101111100…
…111010010111111101010100
3122012200202011222211000112220
4131311311330322113331110
5114200243001300404030
61143044220230142340
736434011036546350
oct3565657472277524
9565622158730486
10131243411341140
113890002221445a
1212877a28ab19b0
13583027b8b93a7
14245a301d74460
151028e204b3a10
hex775d7ce97f54

131243411341140 has 48 divisors (see below), whose sum is σ = 419978916292992. Its totient is φ = 29998494020736.

The previous prime is 131243411341103. The next prime is 131243411341181. The reversal of 131243411341140 is 41143114342131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156242155939 + ... + 156242156778.

It is an arithmetic number, because the mean of its divisors is an integer number (8749560756104).

Almost surely, 2131243411341140 is an apocalyptic number.

131243411341140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131243411341140 is an abundant number, since it is smaller than the sum of its proper divisors (288735504951852).

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

131243411341140 is a wasteful number, since it uses less digits than its factorization.

131243411341140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312484312736 (or 312484312734 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

Adding to 131243411341140 its reverse (41143114342131), we get a palindrome (172386525683271).

The spelling of 131243411341140 in words is "one hundred thirty-one trillion, two hundred forty-three billion, four hundred eleven million, three hundred forty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 312484312717 624968625434 937452938151 1249937250868 1562421563585 1874905876302 2187390189019 3124843127170 3749811752604 4374780378038 4687264690755 6249686254340 6562170567057 8749560756076 9374529381510 10936950945095 13124341134114 18749058763020 21873901890190 26248682268228 32810852835285 43747803780380 65621705670570 131243411341140