Search a number
-
+
44024400413310 = 2351467480013777
BaseRepresentation
bin10100000001010001110101…
…01111111000001001111110
312202212200200011022010202010
422000220322233320021332
521232243433001211220
6233344310315512050
712162441453123102
oct1200507257701176
9182780604263663
1044024400413310
1113033709357379
124b30282758626
131b74638616c85
14ac2b142c5902
15515297e0e1e0
hex280a3abf827e

44024400413310 has 16 divisors (see below), whose sum is σ = 105658560992016. Its totient is φ = 11739840110208.

The previous prime is 44024400413251. The next prime is 44024400413311. The reversal of 44024400413310 is 1331400442044.

44024400413310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×440244004133102 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 1467480013777 = 44024400413310 / (4 + 4 + 0 + 2 + 4 + 4 + 0 + 0 + 4 + 1 + 3 + 3 + 1 + 0).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44024400413311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 733740006859 + ... + 733740006918.

It is an arithmetic number, because the mean of its divisors is an integer number (6603660062001).

Almost surely, 244024400413310 is an apocalyptic number.

44024400413310 is an abundant number, since it is smaller than the sum of its proper divisors (61634160578706).

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

44024400413310 is a wasteful number, since it uses less digits than its factorization.

44024400413310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467480013787.

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

Adding to 44024400413310 its reverse (1331400442044), we get a palindrome (45355800855354).

The spelling of 44024400413310 in words is "forty-four trillion, twenty-four billion, four hundred million, four hundred thirteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 1467480013777 2934960027554 4402440041331 7337400068885 8804880082662 14674800137770 22012200206655 44024400413310