Search a number
-
+
144241344041000 = 23531672413583903
BaseRepresentation
bin100000110010111111001110…
…000100101101000000101000
3200220201100010021022211011112
4200302333032010231000220
5122401222233033303000
61230435320401245452
742245043653555663
oct4062771604550050
9626640107284145
10144241344041000
1141a6145738aa38
1214216b32333888
136263b9219578b
1427894655c26da
1511a20ad3e2235
hex832fce12d028

144241344041000 has 128 divisors (see below), whose sum is σ = 340954850396160. Its totient is φ = 57113062272000.

The previous prime is 144241344040991. The next prime is 144241344041051. The reversal of 144241344041000 is 140443142441.

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, 38455049 + ... + 42038951.

It is an arithmetic number, because the mean of its divisors is an integer number (2663709768720).

Almost surely, 2144241344041000 is an apocalyptic number.

144241344041000 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 144241344041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170477425198080).

144241344041000 is an abundant number, since it is smaller than the sum of its proper divisors (196713506355160).

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

144241344041000 is a wasteful number, since it uses less digits than its factorization.

144241344041000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3584332 (or 3584318 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 144241344041000 its reverse (140443142441), we get a palindrome (144381787183441).

The spelling of 144241344041000 in words is "one hundred forty-four trillion, two hundred forty-one billion, three hundred forty-four million, forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 167 200 241 250 334 482 500 668 835 964 1000 1205 1336 1670 1928 2410 3340 4175 4820 6025 6680 8350 9640 12050 16700 20875 24100 30125 33400 40247 41750 48200 60250 80494 83500 120500 160988 167000 201235 241000 321976 402470 804940 1006175 1609880 2012350 3583903 4024700 5030875 7167806 8049400 10061750 14335612 17919515 20123500 28671224 35839030 40247000 71678060 89597575 143356120 179195150 358390300 447987875 598511801 716780600 863720623 895975750 1197023602 1727441246 1791951500 2394047204 2992559005 3454882492 3583903000 4318603115 4788094408 5985118010 6909764984 8637206230 11970236020 14962795025 17274412460 21593015575 23940472040 29925590050 34548824920 43186031150 59851180100 74813975125 86372062300 107965077875 119702360200 144241344041 149627950250 172744124600 215930155750 288482688082 299255900500 431860311500 576965376164 598511801000 721206720205 863720623000 1153930752328 1442413440410 2884826880820 3606033601025 5769653761640 7212067202050 14424134404100 18030168005125 28848268808200 36060336010250 72120672020500 144241344041000