Search a number
-
+
444142101 = 31311388259
BaseRepresentation
bin11010011110010…
…001001000010101
31010221201202102110
4122132101020111
51402200021401
6112023301233
714002100634
oct3236211025
91127652373
10444142101
11208785597
121048aa819
13710285a0
1442db551b
1528ed29d6
hex1a791215

444142101 has 8 divisors (see below), whose sum is σ = 637742560. Its totient is φ = 273318192.

The previous prime is 444142099. The next prime is 444142109. The reversal of 444142101 is 101241444.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 444142101 - 21 = 444142099 is a prime.

It is a super-3 number, since 3×4441421013 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444142109) 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, 5694091 + ... + 5694168.

It is an arithmetic number, because the mean of its divisors is an integer number (79717820).

Almost surely, 2444142101 is an apocalyptic number.

It is an amenable number.

444142101 is a deficient number, since it is larger than the sum of its proper divisors (193600459).

444142101 is a wasteful number, since it uses less digits than its factorization.

444142101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11388275.

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 444142101 is about 21074.6791434650. The cubic root of 444142101 is about 762.9697406905.

Adding to 444142101 its reverse (101241444), we get a palindrome (545383545).

The spelling of 444142101 in words is "four hundred forty-four million, one hundred forty-two thousand, one hundred one".

Divisors: 1 3 13 39 11388259 34164777 148047367 444142101