Search a number
-
+
144240324341000 = 2353619724377273
BaseRepresentation
bin100000110010111110010001…
…010010110110110100001000
3200220201020111012120200201212
4200302332101102312310020
5122401213141012403000
61230435031253432252
742245006462345456
oct4062762122666410
9626636435520655
10144240324341000
1141a60a83831268
12142168a893b688
136263a5bb4b8b4
1427893a9dc79d6
1511a204db1dc35
hex832f914b6d08

144240324341000 has 128 divisors (see below), whose sum is σ = 346592181368160. Its totient is φ = 56165234688000.

The previous prime is 144240324340933. The next prime is 144240324341011. The reversal of 144240324341000 is 143423042441.

It can be written as a sum of positive squares in 16 ways, for example, as 22626936941284 + 121613387399716 = 4756778^2 + 11027846^2 .

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, 6271637 + ... + 18105636.

Almost surely, 2144240324341000 is an apocalyptic number.

144240324341000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144240324341000 is an abundant number, since it is smaller than the sum of its proper divisors (202351857027160).

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

144240324341000 is a wasteful number, since it uses less digits than its factorization.

144240324341000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24377452 (or 24377438 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 144240324341000 its reverse (143423042441), we get a palindrome (144383747383441).

The spelling of 144240324341000 in words is "one hundred forty-four trillion, two hundred forty billion, three hundred twenty-four million, three hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 97 100 122 125 194 200 244 250 305 388 485 488 500 610 776 970 1000 1220 1525 1940 2425 2440 3050 3880 4850 5917 6100 7625 9700 11834 12125 12200 15250 19400 23668 24250 29585 30500 47336 48500 59170 61000 97000 118340 147925 236680 295850 591700 739625 1183400 1479250 2958500 5917000 24377273 48754546 97509092 121886365 195018184 243772730 487545460 609431825 975090920 1218863650 1487013653 2364595481 2437727300 2974027306 3047159125 4729190962 4875454600 5948054612 6094318250 7435068265 9458381924 11822977405 11896109224 12188636500 14870136530 18916763848 23645954810 24377273000 29740273060 37175341325 47291909620 59114887025 59480546120 74350682650 94583819240 118229774050 144240324341 148701365300 185876706625 236459548100 288480648682 295574435125 297402730600 371753413250 472919096200 576961297364 591148870250 721201621705 743506826500 1153922594728 1182297740500 1442403243410 1487013653000 2364595481000 2884806486820 3606008108525 5769612973640 7212016217050 14424032434100 18030040542625 28848064868200 36060081085250 72120162170500 144240324341000