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1444315500 = 2232531931663
BaseRepresentation
bin101011000010110…
…1000000101101100
310201122201211101200
41112011220011230
510424221044000
6355152405500
750535323235
oct12605500554
93648654350
101444315500
11681307681
12343846890
131a02c6674
14d9b6a08c
1586bea500
hex5616816c

1444315500 has 144 divisors (see below), whose sum is σ = 4582695936. Its totient is φ = 382924800.

The previous prime is 1444315469. The next prime is 1444315511. The reversal of 1444315500 is 55134441.

It is a happy number.

1444315500 is a `hidden beast` number, since 144 + 4 + 3 + 15 + 500 = 666.

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 47 ways as a sum of consecutive naturals, for example, 867669 + ... + 869331.

Almost surely, 21444315500 is an apocalyptic number.

1444315500 is a gapful number since it is divisible by the number (10) 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 1444315500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2291347968).

1444315500 is an abundant number, since it is smaller than the sum of its proper divisors (3138380436).

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

1444315500 is a wasteful number, since it uses less digits than its factorization.

1444315500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1881 (or 1866 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1444315500 is about 38004.1510890587. The cubic root of 1444315500 is about 1130.3701765774.

Adding to 1444315500 its reverse (55134441), we get a palindrome (1499449941).

The spelling of 1444315500 in words is "one billion, four hundred forty-four million, three hundred fifteen thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 193 225 250 300 375 386 450 500 579 750 772 900 965 1125 1158 1500 1663 1737 1930 2250 2316 2895 3326 3474 3860 4500 4825 4989 5790 6652 6948 8315 8685 9650 9978 11580 14475 14967 16630 17370 19300 19956 24125 24945 28950 29934 33260 34740 41575 43425 48250 49890 57900 59868 72375 74835 83150 86850 96500 99780 124725 144750 149670 166300 173700 207875 217125 249450 289500 299340 320959 374175 415750 434250 498900 623625 641918 748350 831500 868500 962877 1247250 1283836 1496700 1604795 1870875 1925754 2494500 2888631 3209590 3741750 3851508 4814385 5777262 6419180 7483500 8023975 9628770 11554524 14443155 16047950 19257540 24071925 28886310 32095900 40119875 48143850 57772620 72215775 80239750 96287700 120359625 144431550 160479500 240719250 288863100 361078875 481438500 722157750 1444315500