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1444008093 = 31143757821
BaseRepresentation
bin101011000010001…
…1101000010011101
310201122011012201020
41112010131002131
510424131224333
6355142034353
750532603063
oct12604350235
93648135636
101444008093
11681117720
123437189b9
131a0219778
14d9aca033
1586b893b3
hex5611d09d

1444008093 has 8 divisors (see below), whose sum is σ = 2100375456. Its totient is φ = 875156400.

The previous prime is 1444008089. The next prime is 1444008131. The reversal of 1444008093 is 3908004441.

It is a happy number.

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

It is not a de Polignac number, because 1444008093 - 22 = 1444008089 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33), and also a Moran number because the ratio is a prime number: 43757821 = 1444008093 / (1 + 4 + 4 + 4 + 0 + 0 + 8 + 0 + 9 + 3).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444008023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21878878 + ... + 21878943.

It is an arithmetic number, because the mean of its divisors is an integer number (262546932).

Almost surely, 21444008093 is an apocalyptic number.

It is an amenable number.

1444008093 is a deficient number, since it is larger than the sum of its proper divisors (656367363).

1444008093 is a wasteful number, since it uses less digits than its factorization.

1444008093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43757835.

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 1444008093 is about 38000.1064866929. The cubic root of 1444008093 is about 1130.2899751809.

The spelling of 1444008093 in words is "one billion, four hundred forty-four million, eight thousand, ninety-three".

Divisors: 1 3 11 33 43757821 131273463 481336031 1444008093