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131424213124040 = 23517193270901653
BaseRepresentation
bin11101111000011110010101…
…100010011100001111001000
3122020100000212101021020011112
4131320132111202130033020
5114211223242024432130
61143303241111545452
736453041342420054
oct3570362542341710
9566300771236145
10131424213124040
113896a7720a4a31
12128a6a8708b288
135844333689195
142464d74440c64
15102d9a3297495
hex77879589c3c8

131424213124040 has 32 divisors (see below), whose sum is σ = 313098860679480. Its totient is φ = 49477350822912.

The previous prime is 131424213123991. The next prime is 131424213124049. The reversal of 131424213124040 is 40421312424131.

It can be written as a sum of positive squares in 4 ways, for example, as 130661039658436 + 763173465604 = 11430706^2 + 873598^2 .

It is a junction number, because it is equal to n+sod(n) for n = 131424213123988 and 131424213124006.

It is not an unprimeable number, because it can be changed into a prime (131424213124049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96635450147 + ... + 96635451506.

Almost surely, 2131424213124040 is an apocalyptic number.

131424213124040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131424213124040 is an abundant number, since it is smaller than the sum of its proper divisors (181674647555440).

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

131424213124040 is a wasteful number, since it uses less digits than its factorization.

131424213124040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193270901681 (or 193270901677 counting only the distinct ones).

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

Adding to 131424213124040 its reverse (40421312424131), we get a palindrome (171845525548171).

The spelling of 131424213124040 in words is "one hundred thirty-one trillion, four hundred twenty-four billion, two hundred thirteen million, one hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 193270901653 386541803306 773083606612 966354508265 1546167213224 1932709016530 3285605328101 3865418033060 6571210656202 7730836066120 13142421312404 16428026640505 26284842624808 32856053281010 65712106562020 131424213124040