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131232404142 = 23272119974951
BaseRepresentation
bin111101000111000001…
…1111001001010101110
3110112201210220212021200
41322032003321022232
54122230443413032
6140142021510330
712324030013230
oct1721603711256
9415653825250
10131232404142
11507232a8654
12215255723a6
13c4b5303358
1464cd032250
15363115047c
hex1e8e0f92ae

131232404142 has 96 divisors (see below), whose sum is σ = 326889997824. Its totient is φ = 37272312000.

The previous prime is 131232404137. The next prime is 131232404153. The reversal of 131232404142 is 241404232131.

131232404142 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 3 + 240 + 414 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26503767 + ... + 26508717.

It is an arithmetic number, because the mean of its divisors is an integer number (3405104144).

Almost surely, 2131232404142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131232404142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163444998912).

131232404142 is an abundant number, since it is smaller than the sum of its proper divisors (195657593682).

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

131232404142 is a wasteful number, since it uses less digits than its factorization.

131232404142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6174 (or 6171 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 131232404142 its reverse (241404232131), we get a palindrome (372636636273).

The spelling of 131232404142 in words is "one hundred thirty-one billion, two hundred thirty-two million, four hundred four thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 211 422 633 997 1266 1477 1899 1994 2954 2991 3798 4431 4951 5982 6979 8862 8973 9902 13293 13958 14853 17946 20937 26586 29706 34657 41874 44559 62811 69314 89118 103971 125622 207942 210367 311913 420734 623826 631101 1044661 1262202 1472569 1893303 2089322 2945138 3133983 3786606 4417707 4936147 6267966 7312627 8835414 9401949 9872294 13253121 14625254 14808441 18803898 21937881 26506242 29616882 34553029 43875762 44425323 65813643 69106058 88850646 103659087 131627286 207318174 310977261 621954522 1041527017 2083054034 3124581051 6249162102 7290689119 9373743153 14581378238 18747486306 21872067357 43744134714 65616202071 131232404142