Search a number
-
+
6441464483024 = 241772973324529
BaseRepresentation
bin101110110111100010100…
…1100111100110011010000
3211210210112201211220102112
41131233011030330303100
51321014104401424044
621411100135004452
71233244331463614
oct135570514746320
924723481756375
106441464483024
11206389a85463a
12880495509728
1337957328879c
14183aa8c59344
15b2855be909e
hex5dbc533ccd0

6441464483024 has 40 divisors (see below), whose sum is σ = 13214696738760. Its totient is φ = 3031226523648.

The previous prime is 6441464483009. The next prime is 6441464483029. The reversal of 6441464483024 is 4203844641446.

It can be written as a sum of positive squares in 4 ways, for example, as 859736928400 + 5581727554624 = 927220^2 + 2362568^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6441464483029) 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, 19686392 + ... + 20010920.

It is an arithmetic number, because the mean of its divisors is an integer number (330367418469).

Almost surely, 26441464483024 is an apocalyptic number.

It is an amenable number.

6441464483024 is an abundant number, since it is smaller than the sum of its proper divisors (6773232255736).

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

6441464483024 is a wasteful number, since it uses less digits than its factorization.

6441464483024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397527 (or 397521 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 50.

The spelling of 6441464483024 in words is "six trillion, four hundred forty-one billion, four hundred sixty-four million, four hundred eighty-three thousand, twenty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 72973 145946 291892 324529 583784 649058 1167568 1240541 1298116 2481082 2596232 4962164 5192464 5516993 9924328 11033986 19848656 22067972 44135944 88271888 23681854717 47363709434 94727418868 189454837736 378909675472 402591530189 805183060378 1610366120756 3220732241512 6441464483024