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424122303221424 = 24328346775986011
BaseRepresentation
bin110000001101111001010101…
…1001110011000111010110000
32001121200200210112111201001100
41200123302223032120322300
5421042304434111041144
64102011032445404400
7155222553023132133
oct14033625316307260
92047620715451040
10424122303221424
111131582933607a5
123b6998b1269700
131528673ba46a92
1476a38b3db821a
1534075db231269
hex181bcab398eb0

424122303221424 has 120 divisors (see below), whose sum is σ = 1203826327808832. Its totient is φ = 139371715877760.

The previous prime is 424122303221411. The next prime is 424122303221443.

424122303221424 is a `hidden beast` number, since 4 + 2 + 4 + 1 + 2 + 2 + 3 + 0 + 3 + 221 + 424 = 666.

424122303221424 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32411422 + ... + 43574589.

Almost surely, 2424122303221424 is an apocalyptic number.

It is an amenable number.

424122303221424 is an abundant number, since it is smaller than the sum of its proper divisors (779704024587408).

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

424122303221424 is a wasteful number, since it uses less digits than its factorization.

424122303221424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75986575 (or 75986566 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

It can be divided in two parts, 42412230 and 3221424, that added together give a palindrome (45633654).

The spelling of 424122303221424 in words is "four hundred twenty-four trillion, one hundred twenty-two billion, three hundred three million, two hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 83 144 166 249 332 467 498 664 747 934 996 1328 1401 1494 1868 1992 2802 2988 3736 3984 4203 5604 5976 7472 8406 11208 11952 16812 22416 33624 38761 67248 77522 116283 155044 232566 310088 348849 465132 620176 697698 930264 1395396 1860528 2790792 5581584 75986011 151972022 227958033 303944044 455916066 607888088 683874099 911832132 1215776176 1367748198 1823664264 2735496396 3647328528 5470992792 6306838913 10941985584 12613677826 18920516739 25227355652 35485467137 37841033478 50454711304 56761550217 70970934274 75682066956 100909422608 106456401411 113523100434 141941868548 151364133912 212912802822 227046200868 283883737096 302728267824 319369204233 425825605644 454092401736 567767474192 638738408466 851651211288 908184803472 1277476816932 1703302422576 2554953633864 2945293772371 5109907267728 5890587544742 8835881317113 11781175089484 17671762634226 23562350178968 26507643951339 35343525268452 47124700357936 53015287902678 70687050536904 106030575805356 141374101073808 212061151610712 424122303221424