Search a number
-
+
1444443312 = 243137132603
BaseRepresentation
bin101011000011000…
…0111010010110000
310201122222022201110
41112012013102300
510424234141222
6355155233320
750536364664
oct12606072260
93648868643
101444443312
11681394704
123438a8840
131a033c8b0
14d9ba08a4
1586c2330c
hex561874b0

1444443312 has 80 divisors (see below), whose sum is σ = 4075239168. Its totient is φ = 438170880.

The previous prime is 1444443311. The next prime is 1444443313. The reversal of 1444443312 is 2133444441.

It is an interprime number because it is at equal distance from previous prime (1444443311) and next prime (1444443313).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1444443312.

It is not an unprimeable number, because it can be changed into a prime (1444443311) 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 15 ways as a sum of consecutive naturals, for example, 28003 + ... + 60605.

Almost surely, 21444443312 is an apocalyptic number.

1444443312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1444443312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2037619584).

1444443312 is an abundant number, since it is smaller than the sum of its proper divisors (2630795856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1444443312 is a wasteful number, since it uses less digits than its factorization.

1444443312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32698 (or 32692 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 1444443312 is about 38005.8326050095. The cubic root of 1444443312 is about 1130.4035189258.

Adding to 1444443312 its reverse (2133444441), we get a palindrome (3577887753).

The spelling of 1444443312 in words is "one billion, four hundred forty-four million, four hundred forty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 71 78 104 142 156 208 213 284 312 426 568 624 852 923 1136 1704 1846 2769 3408 3692 5538 7384 11076 14768 22152 32603 44304 65206 97809 130412 195618 260824 391236 423839 521648 782472 847678 1271517 1564944 1695356 2314813 2543034 3390712 4629626 5086068 6781424 6944439 9259252 10172136 13888878 18518504 20344272 27777756 30092569 37037008 55555512 60185138 90277707 111111024 120370276 180555414 240740552 361110828 481481104 722221656 1444443312