Search a number
-
+
1442442441 = 311131333667
BaseRepresentation
bin101010111111001…
…1110110011001001
310201112012200001010
41111332132303021
510423231124231
6355044314133
750513362356
oct12576366311
93645180033
101442442441
116802483a0
123430a2949
1319cabbc4b
14d97dd62d
158697a546
hex55f9ecc9

1442442441 has 16 divisors (see below), whose sum is σ = 2114120448. Its totient is φ = 867531600.

The previous prime is 1442442427. The next prime is 1442442451.

1442442441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1442442441 - 213 = 1442434249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1442442399 and 1442442408.

It is not an unprimeable number, because it can be changed into a prime (1442442451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162511 + ... + 171156.

It is an arithmetic number, because the mean of its divisors is an integer number (132132528).

Almost surely, 21442442441 is an apocalyptic number.

1442442441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1442442441 is a deficient number, since it is larger than the sum of its proper divisors (671678007).

1442442441 is a wasteful number, since it uses less digits than its factorization.

1442442441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333812.

The product of its digits is 16384, while the sum is 30.

The square root of 1442442441 is about 37979.5002731737. The cubic root of 1442442441 is about 1129.8813254126.

It can be divided in two parts, 14424 and 42441, that added together give a palindrome (56865).

The spelling of 1442442441 in words is "one billion, four hundred forty-two million, four hundred forty-two thousand, four hundred forty-one".

Divisors: 1 3 11 33 131 393 1441 4323 333667 1001001 3670337 11011011 43710377 131131131 480814147 1442442441