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144533241343344 = 24371034176295693
BaseRepresentation
bin100000110111001111000100…
…100000100010110101110000
3200221202020120002121011022110
4200313033010200202311300
5122421013034240441334
61231221353205405320
742305116312652160
oct4067170440426560
9627666502534273
10144533241343344
1142064226845597
1214263616109840
136285570404919
1427996365665a0
1511a999456bae9
hex8373c4822d70

144533241343344 has 80 divisors (see below), whose sum is σ = 430860074158592. Its totient is φ = 40894287416064.

The previous prime is 144533241343333. The next prime is 144533241343417. The reversal of 144533241343344 is 443343142335441.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 144533241343293 and 144533241343302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2088113239 + ... + 2088182454.

Almost surely, 2144533241343344 is an apocalyptic number.

144533241343344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

144533241343344 is an abundant number, since it is smaller than the sum of its proper divisors (286326832815248).

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

144533241343344 is a wasteful number, since it uses less digits than its factorization.

144533241343344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4176295814 (or 4176295808 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 48.

Adding to 144533241343344 its reverse (443343142335441), we get a palindrome (587876383678785).

The spelling of 144533241343344 in words is "one hundred forty-four trillion, five hundred thirty-three billion, two hundred forty-one million, three hundred forty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 103 112 168 206 309 336 412 618 721 824 1236 1442 1648 2163 2472 2884 4326 4944 5768 8652 11536 17304 34608 4176295693 8352591386 12528887079 16705182772 25057774158 29234069851 33410365544 50115548316 58468139702 66820731088 87702209553 100231096632 116936279404 175404419106 200462193264 233872558808 350808838212 430158456379 467745117616 701617676424 860316912758 1290475369137 1403235352848 1720633825516 2580950738274 3011109194653 3441267651032 5161901476548 6022218389306 6882535302064 9033327583959 10323802953096 12044436778612 18066655167918 20647605906192 24088873557224 36133310335836 48177747114448 72266620671672 144533241343344