Search a number
-
+
44743211234744 = 2311508445582213
BaseRepresentation
bin10100010110001100101110…
…01101100011010110111000
312212102102001022200021102012
422023012113031203112320
521331033044034002434
6235054425242225052
712265406325235451
oct1213062715432670
9185372038607365
1044743211234744
111329054231a590
12502764aab5188
131bc7360c85a89
14b0982399c128
15528d186333ce
hex28b1973635b8

44743211234744 has 16 divisors (see below), whose sum is σ = 91520204798520. Its totient is φ = 20337823288480.

The previous prime is 44743211234741. The next prime is 44743211234779.

44743211234744 is nontrivially palindromic in base 10.

44743211234744 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-3 number, since 3×447432112347443 (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44743211234692 and 44743211234701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44743211234741) 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 3 ways as a sum of consecutive naturals, for example, 254222791019 + ... + 254222791194.

Almost surely, 244743211234744 is an apocalyptic number.

44743211234744 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44743211234744 is an abundant number, since it is smaller than the sum of its proper divisors (46776993563776).

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

44743211234744 is a wasteful number, since it uses less digits than its factorization.

44743211234744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508445582230 (or 508445582226 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 50.

The spelling of 44743211234744 in words is "forty-four trillion, seven hundred forty-three billion, two hundred eleven million, two hundred thirty-four thousand, seven hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 508445582213 1016891164426 2033782328852 4067564657704 5592901404343 11185802808686 22371605617372 44743211234744