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1444441729 = 7367329401
BaseRepresentation
bin101011000011000…
…0110111010000001
310201122222020112211
41112012012322001
510424234113404
6355155222121
750536360243
oct12606067201
93648866484
101444441729
116813934a5
123438a7941
131a033bc63
14d9ba0093
1586c22b04
hex56186e81

1444441729 has 8 divisors (see below), whose sum is σ = 1466454152. Its totient is φ = 1422489600.

The previous prime is 1444441723. The next prime is 1444441777. The reversal of 1444441729 is 9271444441.

It can be written as a sum of positive squares in 4 ways, for example, as 19228225 + 1425213504 = 4385^2 + 37752^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 1444441729 - 29 = 1444441217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1444441691 and 1444441700.

It is not an unprimeable number, because it can be changed into a prime (1444441723) 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, 34429 + ... + 63829.

It is an arithmetic number, because the mean of its divisors is an integer number (183306769).

Almost surely, 21444441729 is an apocalyptic number.

It is an amenable number.

1444441729 is a deficient number, since it is larger than the sum of its proper divisors (22012423).

1444441729 is an equidigital number, since it uses as much as digits as its factorization.

1444441729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30147.

The product of its digits is 129024, while the sum is 40.

The square root of 1444441729 is about 38005.8117792529. The cubic root of 1444441729 is about 1130.4031059802.

The spelling of 1444441729 in words is "one billion, four hundred forty-four million, four hundred forty-one thousand, seven hundred twenty-nine".

Divisors: 1 73 673 29401 49129 2146273 19786873 1444441729