Search a number
-
+
40333030144 = 281146131069
BaseRepresentation
bin100101100100000010…
…010011001100000000
310212002212201012222021
4211210002103030000
51130100223431034
630310112451224
72625330046111
oct454402231400
9125085635867
1040333030144
1116117a42570
127997549b14
133a5a076614
141d488dc208
1510b0d6c6b4
hex964093300

40333030144 has 72 divisors (see below), whose sum is σ = 88020812880. Its totient is φ = 18292838400.

The previous prime is 40333030141. The next prime is 40333030193. The reversal of 40333030144 is 44103033304.

It is not an unprimeable number, because it can be changed into a prime (40333030141) 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 7 ways as a sum of consecutive naturals, for example, 1282642 + ... + 1313710.

It is an arithmetic number, because the mean of its divisors is an integer number (1222511290).

Almost surely, 240333030144 is an apocalyptic number.

40333030144 is a gapful number since it is divisible by the number (44) 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 40333030144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44010406440).

40333030144 is an abundant number, since it is smaller than the sum of its proper divisors (47687782736).

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

40333030144 is a wasteful number, since it uses less digits than its factorization.

40333030144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31557 (or 31543 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 40333030144 its reverse (44103033304), we get a palindrome (84436063448).

The spelling of 40333030144 in words is "forty billion, three hundred thirty-three million, thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 461 704 922 1408 1844 2816 3688 5071 7376 10142 14752 20284 29504 31069 40568 59008 62138 81136 118016 124276 162272 248552 324544 341759 497104 649088 683518 994208 1298176 1367036 1988416 2734072 3976832 5468144 7953664 10936288 14322809 21872576 28645618 43745152 57291236 87490304 114582472 157550899 229164944 315101798 458329888 630203596 916659776 1260407192 1833319552 2520814384 3666639104 5041628768 10083257536 20166515072 40333030144