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20414100020 = 2256725216043
BaseRepresentation
bin10011000000110001…
…100111001000110100
31221200200201201200112
4103000301213020310
5313302002200040
613213401002152
71321610662406
oct230061471064
957620651615
1020414100020
118726255546
123b58783358
131c04415032
14db92bab76
157e72b7365
hex4c0c67234

20414100020 has 48 divisors (see below), whose sum is σ = 43533916608. Its totient is φ = 8039243520.

The previous prime is 20414100017. The next prime is 20414100029. The reversal of 20414100020 is 2000141402.

It is a junction number, because it is equal to n+sod(n) for n = 20414099968 and 20414100004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20414100029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3375119 + ... + 3381161.

It is an arithmetic number, because the mean of its divisors is an integer number (906956596).

Almost surely, 220414100020 is an apocalyptic number.

20414100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20414100020 is an abundant number, since it is smaller than the sum of its proper divisors (23119816588).

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

20414100020 is a wasteful number, since it uses less digits than its factorization.

20414100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8640 (or 8638 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20414100020 its reverse (2000141402), we get a palindrome (22414241422).

The spelling of 20414100020 in words is "twenty billion, four hundred fourteen million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 67 134 268 335 670 1340 2521 5042 6043 10084 12086 12605 24172 25210 30215 50420 60430 120860 168907 337814 404881 675628 809762 844535 1619524 1689070 2024405 3378140 4048810 8097620 15234403 30468806 60937612 76172015 152344030 304688060 1020705001 2041410002 4082820004 5103525005 10207050010 20414100020