Search a number
-
+
442255440001 = 9718142159833
BaseRepresentation
bin1100110111110000111…
…10100111100010000001
31120021112112122010112011
412123320132213202001
524221214343040001
6535100324532521
743644334133434
oct6337036474201
91507475563464
10442255440001
11160617736941
1271866551141
1332920a6378b
141759611d81b
15b7863edd51
hex66f87a7881

442255440001 has 16 divisors (see below), whose sum is σ = 450358072528. Its totient is φ = 434236723200.

The previous prime is 442255439999. The next prime is 442255440031. The reversal of 442255440001 is 100044552244.

It can be written as a sum of positive squares in 8 ways, for example, as 82254240000 + 360001200001 = 286800^2 + 600001^2 .

It is a cyclic number.

It is not a de Polignac number, because 442255440001 - 21 = 442255439999 is a prime.

It is a super-2 number, since 2×4422554400012 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (442255440031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7361581 + ... + 7421413.

It is an arithmetic number, because the mean of its divisors is an integer number (28147379533).

Almost surely, 2442255440001 is an apocalyptic number.

It is an amenable number.

442255440001 is a deficient number, since it is larger than the sum of its proper divisors (8102632527).

442255440001 is a wasteful number, since it uses less digits than its factorization.

442255440001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60532.

The product of its (nonzero) digits is 25600, while the sum is 31.

Adding to 442255440001 its reverse (100044552244), we get a palindrome (542299992245).

The spelling of 442255440001 in words is "four hundred forty-two billion, two hundred fifty-five million, four hundred forty thousand, one".

Divisors: 1 97 181 421 17557 40837 59833 76201 5803801 7391497 10829773 25189693 1050487981 2443400221 4559334433 442255440001