Search a number
-
+
4020242404240 = 245101497554753
BaseRepresentation
bin111010100000001001000…
…111101101001110010000
3112020022221121100101021201
4322200021013231032100
51011331424023413430
612314512431000544
7563311232414656
oct72401107551620
915208847311251
104020242404240
11130aa80036577
1254b197069154
1323215178661a
14dc81b8c4dd6
156e8981598ca
hex3a8091ed390

4020242404240 has 40 divisors (see below), whose sum is σ = 9439608792888. Its totient is φ = 1592175206400.

The previous prime is 4020242404237. The next prime is 4020242404247. The reversal of 4020242404240 is 424042420204.

It can be written as a sum of positive squares in 4 ways, for example, as 2559692809216 + 1460549595024 = 1599904^2 + 1208532^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 4020242404199 and 4020242404208.

It is not an unprimeable number, because it can be changed into a prime (4020242404247) 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, 248769297 + ... + 248785456.

Almost surely, 24020242404240 is an apocalyptic number.

4020242404240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4020242404240 is an abundant number, since it is smaller than the sum of its proper divisors (5419366388648).

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

4020242404240 is a wasteful number, since it uses less digits than its factorization.

4020242404240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497554867 (or 497554861 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 4020242404240 its reverse (424042420204), we get a palindrome (4444284824444).

The spelling of 4020242404240 in words is "four trillion, twenty billion, two hundred forty-two million, four hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 4040 8080 497554753 995109506 1990219012 2487773765 3980438024 4975547530 7960876048 9951095060 19902190120 39804380240 50253030053 100506060106 201012120212 251265150265 402024240424 502530300530 804048480848 1005060601060 2010121202120 4020242404240