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1444243024 = 247171096959
BaseRepresentation
bin101011000010101…
…0110011001010000
310201122121010222101
41112011112121100
510424211234044
6355151050144
750534602030
oct12605263120
93648533871
101444243024
11681268184
12343810954
131a029c693
14d9b4b8c0
1586bd3cd4
hex56156650

1444243024 has 80 divisors (see below), whose sum is σ = 3417638400. Its totient is φ = 577124352.

The previous prime is 1444243019. The next prime is 1444243033. The reversal of 1444243024 is 4203424441.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1444242983 and 1444243001.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 204057 + ... + 211015.

It is an arithmetic number, because the mean of its divisors is an integer number (42720480).

Almost surely, 21444243024 is an apocalyptic number.

1444243024 is a gapful number since it is divisible by the number (14) 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 1444243024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708819200).

1444243024 is an abundant number, since it is smaller than the sum of its proper divisors (1973395376).

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

1444243024 is a wasteful number, since it uses less digits than its factorization.

1444243024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7100 (or 7094 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 1444243024 is about 38003.1975496799. The cubic root of 1444243024 is about 1130.3512688713.

Adding to 1444243024 its reverse (4203424441), we get a palindrome (5647667465).

The spelling of 1444243024 in words is "one billion, four hundred forty-four million, two hundred forty-three thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 109 112 119 136 218 238 272 436 476 763 872 952 1526 1744 1853 1904 3052 3706 6104 6959 7412 12208 12971 13918 14824 25942 27836 29648 48713 51884 55672 97426 103768 111344 118303 194852 207536 236606 389704 473212 758531 779408 828121 946424 1517062 1656242 1892848 3034124 3312484 5309717 6068248 6624968 10619434 12136496 12895027 13249936 21238868 25790054 42477736 51580108 84955472 90265189 103160216 180530378 206320432 361060756 722121512 1444243024