Search a number
-
+
442433031201 = 3373767621427
BaseRepresentation
bin1100111000000110001…
…00000100110000100001
31120021222220210200212000
412130003010010300201
524222100323444301
6535130111154213
743651621500150
oct6340304046041
91507886720760
10442433031201
111606a8a03827
12718b5b15969
133294b7a3125
14175b194b597
15b796ccd786
hex6703104c21

442433031201 has 32 divisors (see below), whose sum is σ = 749293025280. Its totient is φ = 252751354128.

The previous prime is 442433031197. The next prime is 442433031253. The reversal of 442433031201 is 102130334244.

442433031201 is a `hidden beast` number, since 4 + 424 + 3 + 3 + 0 + 31 + 201 = 666.

It is not a de Polignac number, because 442433031201 - 22 = 442433031197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (442433039201) 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 31 ways as a sum of consecutive naturals, for example, 401250 + ... + 1022676.

It is an arithmetic number, because the mean of its divisors is an integer number (23415407040).

Almost surely, 2442433031201 is an apocalyptic number.

It is an amenable number.

442433031201 is a deficient number, since it is larger than the sum of its proper divisors (306859994079).

442433031201 is a wasteful number, since it uses less digits than its factorization.

442433031201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625210 (or 625204 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 442433031201 its reverse (102130334244), we get a palindrome (544563365445).

The spelling of 442433031201 in words is "four hundred forty-two billion, four hundred thirty-three million, thirty-one thousand, two hundred one".

Divisors: 1 3 7 9 21 27 63 189 3767 11301 26369 33903 79107 101709 237321 621427 711963 1864281 4349989 5592843 13049967 16778529 39149901 117449703 2340915509 7022746527 16386408563 21068239581 49159225689 63204718743 147477677067 442433031201