Search a number
-
+
42444401301 = 335213017303
BaseRepresentation
bin100111100001111000…
…100010101010010101
311001120000121222201000
4213201320202222111
51143411231320201
631255414453513
73031545313131
oct474170425225
9131500558630
1042444401301
1117000837a05
128286664299
134005616173
1420a90a83c1
1511863cdd86
hex9e1e22a95

42444401301 has 16 divisors (see below), whose sum is σ = 63001307520. Its totient is φ = 28241946720.

The previous prime is 42444401291. The next prime is 42444401369. The reversal of 42444401301 is 10310444424.

It is not a de Polignac number, because 42444401301 - 25 = 42444401269 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42444401201) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1494585 + ... + 1522718.

It is an arithmetic number, because the mean of its divisors is an integer number (3937581720).

Almost surely, 242444401301 is an apocalyptic number.

It is an amenable number.

42444401301 is a deficient number, since it is larger than the sum of its proper divisors (20556906219).

42444401301 is a wasteful number, since it uses less digits than its factorization.

42444401301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3017833 (or 3017827 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 42444401301 its reverse (10310444424), we get a palindrome (52754845725).

The spelling of 42444401301 in words is "forty-two billion, four hundred forty-four million, four hundred one thousand, three hundred one".

Divisors: 1 3 9 27 521 1563 4689 14067 3017303 9051909 27155727 81467181 1572014863 4716044589 14148133767 42444401301