Search a number
-
+
42223446720 = 26385713217
BaseRepresentation
bin100111010100101101…
…101010101011000000
311000222121212100000000
4213110231222223000
51142433200243340
631221443000000
73023223242520
oct472455525300
9130877770000
1042223446720
11169a8042514
128224669000
133c9b903100
1420879cd680
151171cd5d30
hex9d4b6aac0

42223446720 has 1512 divisors, whose sum is σ = 197609484384. Its totient is φ = 8384643072.

The previous prime is 42223446689. The next prime is 42223446731. The reversal of 42223446720 is 2764432224.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2483732152 + ... + 2483732168.

Almost surely, 242223446720 is an apocalyptic number.

42223446720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42223446720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98804742192).

42223446720 is an abundant number, since it is smaller than the sum of its proper divisors (155386037664).

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

42223446720 is an equidigital number, since it uses as much as digits as its factorization.

42223446720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

Adding to 42223446720 its reverse (2764432224), we get a palindrome (44987878944).

The spelling of 42223446720 in words is "forty-two billion, two hundred twenty-three million, four hundred forty-six thousand, seven hundred twenty".