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1444041648 = 243371941613
BaseRepresentation
bin101011000010010…
…0101001110110000
310201122012220202000
41112010211032300
510424133313043
6355142454000
750533102650
oct12604451660
93648186660
101444041648
1168113a955
12343734300
131a022bb1a
14d9ad8360
1586b942d3
hex561253b0

1444041648 has 320 divisors, whose sum is σ = 5116339200. Its totient is φ = 380712960.

The previous prime is 1444041647. The next prime is 1444041649. The reversal of 1444041648 is 8461404441.

1444041648 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 0 + 4 + 1 + 648 = 666.

It is an interprime number because it is at equal distance from previous prime (1444041647) and next prime (1444041649).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1444041647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2355390 + ... + 2356002.

It is an arithmetic number, because the mean of its divisors is an integer number (15988560).

Almost surely, 21444041648 is an apocalyptic number.

1444041648 is a gapful number since it is divisible by the number (18) 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 1444041648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2558169600).

1444041648 is an abundant number, since it is smaller than the sum of its proper divisors (3672297552).

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

1444041648 is a wasteful number, since it uses less digits than its factorization.

1444041648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 1444041648 is about 38000.5479960487. The cubic root of 1444041648 is about 1130.2987301148.

The spelling of 1444041648 in words is "one billion, four hundred forty-four million, forty-one thousand, six hundred forty-eight".