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424424331404240 = 24529609130034727
BaseRepresentation
bin110000010000000101111110…
…1100000011110001111010000
32001122202120101101211002120112
41200200023331200132033100
5421112232012314413430
64102401502433500452
7155253434406256106
oct14040137540361720
92048676341732515
10424424331404240
111132643913a3842
123b728341a11728
13152a9072b0985b
1476b436662dc76
1534103b69bd195
hex18202fd81e3d0

424424331404240 has 80 divisors (see below), whose sum is σ = 1020981321406080. Its totient is φ = 163888687280640.

The previous prime is 424424331404233. The next prime is 424424331404279. The reversal of 424424331404240 is 42404133424424.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×4244243314042402 (a number of 30 digits) contains 22 as substring.

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, 886244 + ... + 29148483.

It is an arithmetic number, because the mean of its divisors is an integer number (12762266517576).

Almost surely, 2424424331404240 is an apocalyptic number.

424424331404240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424424331404240 is an abundant number, since it is smaller than the sum of its proper divisors (596556990001840).

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

424424331404240 is a wasteful number, since it uses less digits than its factorization.

424424331404240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30040860 (or 30040854 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 41.

Adding to 424424331404240 its reverse (42404133424424), we get a palindrome (466828464828664).

The spelling of 424424331404240 in words is "four hundred twenty-four trillion, four hundred twenty-four billion, three hundred thirty-one million, four hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 6091 12182 24364 30455 48728 60910 97456 121820 176639 243640 353278 487280 706556 883195 1413112 1766390 2826224 3532780 7065560 14131120 30034727 60069454 120138908 150173635 240277816 300347270 480555632 600694540 871007083 1201389080 1742014166 2402778160 3484028332 4355035415 6968056664 8710070830 13936113328 17420141660 34840283320 69680566640 182941522157 365883044314 731766088628 914707610785 1463532177256 1829415221570 2927064354512 3658830443140 5305304142553 7317660886280 10610608285106 14635321772560 21221216570212 26526520712765 42442433140424 53053041425530 84884866280848 106106082851060 212212165702120 424424331404240