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4304317620420 = 2232537673395989
BaseRepresentation
bin111110101000101101010…
…100101010000011000100
3120020111012021222120102200
4332220231110222003010
51031010220302323140
613053213132434500
7622656001050216
oct76505524520304
916214167876380
104304317620420
11140a4a60a1004
12596257318a30
13252b842a5b0c
1410c489a745b6
1576e7272e030
hex3ea2d52a0c4

4304317620420 has 144 divisors (see below), whose sum is σ = 13411437901680. Its totient is φ = 1116618421248.

The previous prime is 4304317620413. The next prime is 4304317620461. The reversal of 4304317620420 is 240267134034.

4304317620420 is a `hidden beast` number, since 4 + 3 + 0 + 4 + 3 + 1 + 7 + 620 + 4 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 314135588484 + 3990182031936 = 560478^2 + 1997544^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44793786 + ... + 44889774.

Almost surely, 24304317620420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4304317620420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6705718950840).

4304317620420 is an abundant number, since it is smaller than the sum of its proper divisors (9107120281260).

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

4304317620420 is a wasteful number, since it uses less digits than its factorization.

4304317620420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102774 (or 102769 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 4304317620420 in words is "four trillion, three hundred four billion, three hundred seventeen million, six hundred twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 6733 13466 20199 26932 33665 40398 60597 67330 80796 95989 100995 121194 134660 191978 201990 242388 249121 287967 302985 383956 403980 479945 498242 575934 605970 747363 863901 959890 996484 1151868 1211940 1245605 1439835 1494726 1727802 1919780 2242089 2491210 2879670 2989452 3455604 3551593 3736815 4319505 4484178 4982420 5759340 7103186 7473630 8639010 8968356 10654779 11210445 14206372 14947260 17278020 17757965 21309558 22420890 31964337 35515930 42619116 44841780 53273895 63928674 71031860 106547790 127857348 159821685 213095580 319643370 639286740 646293937 1292587874 1938881811 2585175748 3231469685 3877763622 5816645433 6462939370 7755527244 9694409055 11633290866 12925878740 19388818110 23266581732 23912875669 29083227165 38777636220 47825751338 58166454330 71738627007 95651502676 116332908660 119564378345 143477254014 215215881021 239128756690 286954508028 358693135035 430431762042 478257513380 717386270070 860863524084 1076079405105 1434772540140 2152158810210 4304317620420