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20410114420 = 22517311175281
BaseRepresentation
bin10011000000100010…
…011010000101110100
31221200102020020110201
4103000202122011310
5313244442130140
613213135330244
71321532052523
oct230042320564
957612206421
1020410114420
118723a83063
123b57380984
131c0364aba7
14db89604ba
157e6c7b49a
hex4c089a174

20410114420 has 48 divisors (see below), whose sum is σ = 43155757008. Its totient is φ = 8108052480.

The previous prime is 20410114349. The next prime is 20410114427. The reversal of 20410114420 is 2441101402.

It can be written as a sum of positive squares in 8 ways, for example, as 2073163024 + 18336951396 = 45532^2 + 135414^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20410114427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3862180 + ... + 3867460.

It is an arithmetic number, because the mean of its divisors is an integer number (899078271).

Almost surely, 220410114420 is an apocalyptic number.

20410114420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20410114420 is an abundant number, since it is smaller than the sum of its proper divisors (22745642588).

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

20410114420 is a wasteful number, since it uses less digits than its factorization.

20410114420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6580 (or 6578 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 20410114420 its reverse (2441101402), we get a palindrome (22851215822).

The spelling of 20410114420 in words is "twenty billion, four hundred ten million, one hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 173 346 692 865 1117 1730 2234 3460 4468 5281 5585 10562 11170 21124 22340 26405 52810 105620 193241 386482 772964 913613 966205 1827226 1932410 3654452 3864820 4568065 5898877 9136130 11797754 18272260 23595508 29494385 58988770 117977540 1020505721 2041011442 4082022884 5102528605 10205057210 20410114420