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20040020002420 = 22511219742035533
BaseRepresentation
bin1001000111001111011100…
…10001100000011001110100
32121221210210110011021022121
410203213232101200121310
510111313430110034140
6110342131425405324
74135562243311525
oct443475621403164
977853713137277
1020040020002420
116426a19938200
1222b7a82199844
13b249c554a842
144d3d2935484c
1524b4484be64a
hex1239ee460674

20040020002420 has 72 divisors (see below), whose sum is σ = 46492477598952. Its totient is φ = 7250288559360.

The previous prime is 20040020002411. The next prime is 20040020002507. The reversal of 20040020002420 is 2420002004002.

It can be written as a sum of positive squares in 4 ways, for example, as 13533378143076 + 6506641859344 = 3678774^2 + 2550812^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20040020002394 and 20040020002403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20541027 + ... + 21494506.

It is an arithmetic number, because the mean of its divisors is an integer number (645728855541).

Almost surely, 220040020002420 is an apocalyptic number.

20040020002420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20040020002420 is an abundant number, since it is smaller than the sum of its proper divisors (26452457596532).

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

20040020002420 is a wasteful number, since it uses less digits than its factorization.

20040020002420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42035761 (or 42035748 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 20040020002420 its reverse (2420002004002), we get a palindrome (22460022006422).

It can be divided in two parts, 2004002000 and 2420, that multiplied together give a square (4849684840000 = 22022002).

The spelling of 20040020002420 in words is "twenty trillion, forty billion, twenty million, two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 197 220 242 394 484 605 788 985 1210 1970 2167 2420 3940 4334 8668 10835 21670 23837 43340 47674 95348 119185 238370 476740 42035533 84071066 168142132 210177665 420355330 462390863 840710660 924781726 1849563452 2311954315 4623908630 5086299493 8281000001 9247817260 10172598986 16562000002 20345197972 25431497465 33124000004 41405000005 50862994930 82810000010 91091000011 101725989860 165620000020 182182000022 364364000044 455455000055 910910000110 1002001000121 1821820000220 2004002000242 4008004000484 5010005000605 10020010001210 20040020002420