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1444422340 = 225176436607
BaseRepresentation
bin101011000011000…
…0010001011000100
310201122221020221201
41112012002023010
510424233003330
6355154552244
750536246564
oct12606021304
93648836851
101444422340
1168137a979
12343898684
131a033319a
14d9b96da4
1586c1beca
hex561822c4

1444422340 has 48 divisors (see below), whose sum is σ = 3217197312. Its totient is φ = 542854656.

The previous prime is 1444422319. The next prime is 1444422341. The reversal of 1444422340 is 432244441.

It is a junction number, because it is equal to n+sod(n) for n = 1444422299 and 1444422308.

It is not an unprimeable number, because it can be changed into a prime (1444422341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215317 + ... + 221923.

It is an arithmetic number, because the mean of its divisors is an integer number (67024944).

Almost surely, 21444422340 is an apocalyptic number.

1444422340 is a gapful number since it is divisible by the number (10) 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 1444422340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608598656).

1444422340 is an abundant number, since it is smaller than the sum of its proper divisors (1772774972).

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

1444422340 is a wasteful number, since it uses less digits than its factorization.

1444422340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7276 (or 7274 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 1444422340 is about 38005.5566989881. The cubic root of 1444422340 is about 1130.3980480898.

Adding to 1444422340 its reverse (432244441), we get a palindrome (1876666781).

The spelling of 1444422340 in words is "one billion, four hundred forty-four million, four hundred twenty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 643 1286 2572 3215 6430 6607 10931 12860 13214 21862 26428 33035 43724 54655 66070 109310 112319 132140 218620 224638 449276 561595 1123190 2246380 4248301 8496602 16993204 21241505 42483010 72221117 84966020 144442234 288884468 361105585 722211170 1444422340