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14444526000 = 2435317141613
BaseRepresentation
bin11010111001111010…
…11111100110110000
31101021122220221121110
431130331133212300
5214040244313000
610345152153320
71020643305462
oct153475374660
941248827543
1014444526000
1161426161a3
122971538840
131492740108
149b054c132
1559818e850
hex35cf5f9b0

14444526000 has 160 divisors (see below), whose sum is σ = 49308861888. Its totient is φ = 3625267200.

The previous prime is 14444525993. The next prime is 14444526011. The reversal of 14444526000 is 62544441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31194 + ... + 172806.

Almost surely, 214444526000 is an apocalyptic number.

14444526000 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 14444526000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24654430944).

14444526000 is an abundant number, since it is smaller than the sum of its proper divisors (34864335888).

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

14444526000 is a wasteful number, since it uses less digits than its factorization.

14444526000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141656 (or 141640 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The spelling of 14444526000 in words is "fourteen billion, four hundred forty-four million, five hundred twenty-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 34 40 48 50 51 60 68 75 80 85 100 102 120 125 136 150 170 200 204 240 250 255 272 300 340 375 400 408 425 500 510 600 680 750 816 850 1000 1020 1200 1275 1360 1500 1700 2000 2040 2125 2550 3000 3400 4080 4250 5100 6000 6375 6800 8500 10200 12750 17000 20400 25500 34000 51000 102000 141613 283226 424839 566452 708065 849678 1132904 1416130 1699356 2124195 2265808 2407421 2832260 3398712 3540325 4248390 4814842 5664520 6797424 7080650 7222263 8496780 9629684 10620975 11329040 12037105 14161300 14444526 16993560 17701625 19259368 21241950 24074210 28322600 28889052 33987120 35403250 36111315 38518736 42483900 48148420 53104875 56645200 57778104 60185525 70806500 72222630 84967800 96296840 106209750 115556208 120371050 141613000 144445260 169935600 180556575 192593680 212419500 240742100 283226000 288890520 300927625 361113150 424839000 481484200 577781040 601855250 722226300 849678000 902782875 962968400 1203710500 1444452600 1805565750 2407421000 2888905200 3611131500 4814842000 7222263000 14444526000