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1444605000 = 23354193499
BaseRepresentation
bin101011000011010…
…1110110001001000
310201200021112111220
41112012232301020
510424304330000
6355202522040
750540640246
oct12606566110
93650245456
101444605000
11681495133
12343966320
131a0398377
14d9c03796
1586c561a0
hex561aec48

1444605000 has 160 divisors (see below), whose sum is σ = 4545420000. Its totient is φ = 382464000.

The previous prime is 1444604939. The next prime is 1444605011. The reversal of 1444605000 is 5064441.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2894751 + ... + 2895249.

It is an arithmetic number, because the mean of its divisors is an integer number (28408875).

Almost surely, 21444605000 is an apocalyptic number.

1444605000 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 1444605000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2272710000).

1444605000 is an abundant number, since it is smaller than the sum of its proper divisors (3100815000).

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

1444605000 is a wasteful number, since it uses less digits than its factorization.

1444605000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 1444605000 is about 38007.9596926749. The cubic root of 1444605000 is about 1130.4456956969.

Adding to 1444605000 its reverse (5064441), we get a palindrome (1449669441).

The spelling of 1444605000 in words is "one billion, four hundred forty-four million, six hundred five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 193 200 250 300 375 386 499 500 579 600 625 750 772 965 998 1000 1158 1250 1497 1500 1544 1875 1930 1996 2316 2495 2500 2895 2994 3000 3750 3860 3992 4632 4825 4990 5000 5790 5988 7485 7500 7720 9650 9980 11580 11976 12475 14475 14970 15000 19300 19960 23160 24125 24950 28950 29940 37425 38600 48250 49900 57900 59880 62375 72375 74850 96307 96500 99800 115800 120625 124750 144750 149700 187125 192614 193000 241250 249500 288921 289500 299400 311875 361875 374250 385228 481535 482500 499000 577842 579000 623750 723750 748500 770456 935625 963070 965000 1155684 1247500 1444605 1447500 1497000 1871250 1926140 2311368 2407675 2495000 2889210 2895000 3742500 3852280 4815350 5778420 7223025 7485000 9630700 11556840 12038375 14446050 19261400 24076750 28892100 36115125 48153500 57784200 60191875 72230250 96307000 120383750 144460500 180575625 240767500 288921000 361151250 481535000 722302500 1444605000