Search a number
-
+
1444076001 = 325322392
BaseRepresentation
bin101011000010010…
…1101100111100001
310201122021122212100
41112010231213201
510424140413001
6355143321013
750533305054
oct12604554741
93648248770
101444076001
11681163745
12343750169
131a0241654
14d9b06a9b
1586b9e586
hex5612d9e1

1444076001 has 27 divisors (see below), whose sum is σ = 2134919059. Its totient is φ = 940600752.

The previous prime is 1444075993. The next prime is 1444076021. The reversal of 1444076001 is 1006704441.

The square root of 1444076001 is 38001.

It is a perfect power (a square), and thus also a powerful number.

1444076001 is a `hidden beast` number, since 14 + 4 + 40 + 7 + 600 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1041030225 + 403045776 = 32265^2 + 20076^2 .

It is not a de Polignac number, because 1444076001 - 23 = 1444075993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1444076021) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6042040 + ... + 6042278.

Almost surely, 21444076001 is an apocalyptic number.

1444076001 is the 38001-st square number.

1444076001 is the 19001-st centered octagonal number.

It is an amenable number.

1444076001 is a deficient number, since it is larger than the sum of its proper divisors (690843058).

1444076001 is an frugal number, since it uses more digits than its factorization.

1444076001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The cubic root of 1444076001 is about 1130.3076931168.

The spelling of 1444076001 in words is "one billion, four hundred forty-four million, seventy-six thousand, one".

Divisors: 1 3 9 53 159 239 477 717 2151 2809 8427 12667 25281 38001 57121 114003 171363 514089 671351 2014053 3027413 6042159 9082239 27246717 160452889 481358667 1444076001