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41131341220 = 225173418597
BaseRepresentation
bin100110010011100111…
…100111010110100100
310221011111212121220011
4212103213213112210
51133214110404340
630521231220004
72654162426464
oct462347472644
9127144777804
1041131341220
111649762a492
127b7a977604
133b56587838
141dc2947ba4
15110aeae0ea
hex9939e75a4

41131341220 has 48 divisors (see below), whose sum is σ = 91773425520. Its totient is φ = 15484703232.

The previous prime is 41131341187. The next prime is 41131341221. The reversal of 41131341220 is 2214313114.

It can be written as a sum of positive squares in 8 ways, for example, as 1197713664 + 39933627556 = 34608^2 + 199834^2 .

It is a junction number, because it is equal to n+sod(n) for n = 41131341191 and 41131341200.

It is not an unprimeable number, because it can be changed into a prime (41131341221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111039 + ... + 307558.

It is an arithmetic number, because the mean of its divisors is an integer number (1911946365).

Almost surely, 241131341220 is an apocalyptic number.

It is an amenable number.

41131341220 is an abundant number, since it is smaller than the sum of its proper divisors (50642084300).

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

41131341220 is a wasteful number, since it uses less digits than its factorization.

41131341220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418657 (or 418621 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 41131341220 its reverse (2214313114), we get a palindrome (43345654334).

The spelling of 41131341220 in words is "forty-one billion, one hundred thirty-one million, three hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 578 1156 1445 2890 4913 5780 9826 19652 24565 49130 98260 418597 837194 1674388 2092985 4185970 7116149 8371940 14232298 28464596 35580745 71161490 120974533 142322980 241949066 483898132 604872665 1209745330 2056567061 2419490660 4113134122 8226268244 10282835305 20565670610 41131341220