Search a number
-
+
444203223030 = 232572352615827
BaseRepresentation
bin1100111011011001001…
…00110100011111110110
31120110120021201202112100
412131230210310133312
524234212011114110
6540021504402530
744043525045240
oct6355444643766
91513507652470
10444203223030
11161427159086
127210a916446
1332b71457608
14176dcaa5090
15b84c3e9bc0
hex676c9347f6

444203223030 has 192 divisors, whose sum is σ = 1377804100608. Its totient is φ = 97082599680.

The previous prime is 444203222999. The next prime is 444203223047. The reversal of 444203223030 is 30322302444.

444203223030 is a `hidden beast` number, since 4 + 4 + 420 + 3 + 2 + 230 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 444203222985 and 444203223003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76228977 + ... + 76234803.

It is an arithmetic number, because the mean of its divisors is an integer number (7176063024).

Almost surely, 2444203223030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444203223030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688902050304).

444203223030 is an abundant number, since it is smaller than the sum of its proper divisors (933600877578).

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

444203223030 is a wasteful number, since it uses less digits than its factorization.

444203223030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11131 (or 11128 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 444203223030 its reverse (30322302444), we get a palindrome (474525525474).

The spelling of 444203223030 in words is "four hundred forty-four billion, two hundred three million, two hundred twenty-three thousand, thirty".