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242424020020 = 225721319028573
BaseRepresentation
bin1110000111000110011…
…0001111110000110100
3212011201221120012100011
43201301212033300310
512432441022120040
6303211300030004
723341331112400
oct3416146176064
9764657505304
10242424020020
11938a2048376
123ab97392304
1319b2564a4c0
14ba3a5a2100
15648cb793ea
hex387198fc34

242424020020 has 72 divisors (see below), whose sum is σ = 637761686184. Its totient is φ = 76723202304.

The previous prime is 242424020011. The next prime is 242424020063. The reversal of 242424020020 is 20020424242.

It is a happy number.

242424020020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11051475876 + 231372544144 = 105126^2 + 481012^2 .

It is a junction number, because it is equal to n+sod(n) for n = 242424019973 and 242424020000.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 9501547 + ... + 9527026.

It is an arithmetic number, because the mean of its divisors is an integer number (8857801197).

Almost surely, 2242424020020 is an apocalyptic number.

242424020020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242424020020 is an abundant number, since it is smaller than the sum of its proper divisors (395337666164).

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

242424020020 is a wasteful number, since it uses less digits than its factorization.

242424020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19028609 (or 19028600 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 242424020020 its reverse (20020424242), we get a palindrome (262444444262).

The spelling of 242424020020 in words is "two hundred forty-two billion, four hundred twenty-four million, twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 196 245 260 364 455 490 637 910 980 1274 1820 2548 3185 6370 12740 19028573 38057146 76114292 95142865 133200011 190285730 247371449 266400022 380571460 494742898 532800044 666000055 932400077 989485796 1236857245 1332000110 1731600143 1864800154 2473714490 2664000220 3463200286 3729600308 4662000385 4947428980 6926400572 8658000715 9324000770 12121201001 17316001430 18648001540 24242402002 34632002860 48484804004 60606005005 121212010010 242424020020