Search a number
-
+
42424222240 = 255943728097
BaseRepresentation
bin100111100000101011…
…100100001000100000
311001111121122210020101
4213200223210020200
51143341100102430
631253414152144
73031211640061
oct474053441040
9131447583211
1042424222240
1116aa04050a4
12827b952654
13400139c3aa
1420a6534568
151184744dca
hex9e0ae4220

42424222240 has 48 divisors (see below), whose sum is σ = 100241413272. Its totient is φ = 16967286784.

The previous prime is 42424222229. The next prime is 42424222241. The reversal of 42424222240 is 4222242424.

It can be written as a sum of positive squares in 4 ways, for example, as 20587658256 + 21836563984 = 143484^2 + 147772^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42424222199 and 42424222208.

It is not an unprimeable number, because it can be changed into a prime (42424222241) 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 7 ways as a sum of consecutive naturals, for example, 1495872 + ... + 1523968.

Almost surely, 242424222240 is an apocalyptic number.

42424222240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42424222240 is an abundant number, since it is smaller than the sum of its proper divisors (57817191032).

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

42424222240 is a wasteful number, since it uses less digits than its factorization.

42424222240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37549 (or 37541 counting only the distinct ones).

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

Adding to 42424222240 its reverse (4222242424), we get a palindrome (46646464664).

The spelling of 42424222240 in words is "forty-two billion, four hundred twenty-four million, two hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 9437 18874 28097 37748 47185 56194 75496 94370 112388 140485 150992 188740 224776 280970 301984 377480 449552 561940 754960 899104 1123880 1509920 2247760 4495520 265151389 530302778 1060605556 1325756945 2121211112 2651513890 4242422224 5303027780 8484844448 10606055560 21212111120 42424222240