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131423142241040 = 24513126368406001
BaseRepresentation
bin11101111000011101010101…
…101101010110001100010000
3122020022221002202012201212012
4131320131111231112030100
5114211214043403203130
61143302542535122052
736453002660154146
oct3570352555261420
9566287082181765
10131423142241040
113896a272667761
12128a6828513328
1358441c28615c0
142464cb2121596
15102d93e263995
hex778755b56310

131423142241040 has 40 divisors (see below), whose sum is σ = 329063329229208. Its totient is φ = 48525467904000.

The previous prime is 131423142241037. The next prime is 131423142241057. The reversal of 131423142241040 is 40142241324131.

It can be written as a sum of positive squares in 4 ways, for example, as 2061544612864 + 129361597628176 = 1435808^2 + 11373724^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 131423142240988 and 131423142241006.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63184201961 + ... + 63184204040.

Almost surely, 2131423142241040 is an apocalyptic number.

131423142241040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131423142241040 is an abundant number, since it is smaller than the sum of its proper divisors (197640186988168).

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

131423142241040 is a wasteful number, since it uses less digits than its factorization.

131423142241040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126368406027 (or 126368406021 counting only the distinct ones).

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

Adding to 131423142241040 its reverse (40142241324131), we get a palindrome (171565383565171).

The spelling of 131423142241040 in words is "one hundred thirty-one trillion, four hundred twenty-three billion, one hundred forty-two million, two hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 126368406001 252736812002 505473624004 631842030005 1010947248008 1263684060010 1642789278013 2021894496016 2527368120020 3285578556026 5054736240040 6571157112052 8213946390065 10109472480080 13142314224104 16427892780130 26284628448208 32855785560260 65711571120520 131423142241040