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1444118817 = 31812659519
BaseRepresentation
bin101011000010011…
…1000000100100001
310201122100211121010
41112010320010201
510424143300232
6355144251133
750533543641
oct12604700441
93648324533
101444118817
11681192929
12343770aa9
131a0257c9b
14d9b18521
1586bac0cc
hex56138121

1444118817 has 8 divisors (see below), whose sum is σ = 1936130560. Its totient is φ = 957426480.

The previous prime is 1444118801. The next prime is 1444118857. The reversal of 1444118817 is 7188114441.

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

It is not a de Polignac number, because 1444118817 - 24 = 1444118801 is a prime.

It is a super-3 number, since 3×14441188173 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1444118857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1329217 + ... + 1330302.

It is an arithmetic number, because the mean of its divisors is an integer number (242016320).

Almost surely, 21444118817 is an apocalyptic number.

It is an amenable number.

1444118817 is a deficient number, since it is larger than the sum of its proper divisors (492011743).

1444118817 is a wasteful number, since it uses less digits than its factorization.

1444118817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2659703.

The product of its digits is 28672, while the sum is 39.

The square root of 1444118817 is about 38001.5633494202. The cubic root of 1444118817 is about 1130.3188639914.

The spelling of 1444118817 in words is "one billion, four hundred forty-four million, one hundred eighteen thousand, eight hundred seventeen".

Divisors: 1 3 181 543 2659519 7978557 481372939 1444118817