Search a number
-
+
44008042515057 = 3237132156283829
BaseRepresentation
bin10100000000110011010111…
…01111011100101001110001
312202211010110011000210211200
422000121223233130221301
521232011432340440212
6233333003213201413
712161322214231455
oct1200315357345161
9182733404023750
1044008042515057
11130277847922a5
124b29078490269
131b72c2c67083a
14ac20019cc665
15514b3bcbe6dc
hex28066bbdca71

44008042515057 has 12 divisors (see below), whose sum is σ = 65285204212020. Its totient is φ = 28545757306848.

The previous prime is 44008042514999. The next prime is 44008042515071. The reversal of 44008042515057 is 75051524080044.

44008042515057 is a `hidden beast` number, since 4 + 4 + 0 + 0 + 80 + 4 + 2 + 515 + 0 + 57 = 666.

44008042515057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 21669034310001 + 22339008205056 = 4655001^2 + 4726416^2 .

It is not a de Polignac number, because 44008042515057 - 211 = 44008042513009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (44008042515077) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 66078141582 + ... + 66078142247.

It is an arithmetic number, because the mean of its divisors is an integer number (5440433684335).

Almost surely, 244008042515057 is an apocalyptic number.

It is an amenable number.

44008042515057 is a deficient number, since it is larger than the sum of its proper divisors (21277161696963).

44008042515057 is a wasteful number, since it uses less digits than its factorization.

44008042515057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132156283872 (or 132156283869 counting only the distinct ones).

The product of its (nonzero) digits is 896000, while the sum is 45.

The spelling of 44008042515057 in words is "forty-four trillion, eight billion, forty-two million, five hundred fifteen thousand, fifty-seven".

Divisors: 1 3 9 37 111 333 132156283829 396468851487 1189406554461 4889782501673 14669347505019 44008042515057