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42421446320 = 245111011932473
BaseRepresentation
bin100111100000100000…
…111110011010110000
311001111102102202101112
4213200200332122300
51143334342240240
631253234452452
73031146226031
oct474040763260
9131442382345
1042421446320
1116a99889550
12827aa34128
134000939a36
1420a6010a88
151184397665
hex9e083e6b0

42421446320 has 160 divisors (see below), whose sum is σ = 109268702784. Its totient is φ = 15187968000.

The previous prime is 42421446271. The next prime is 42421446371. The reversal of 42421446320 is 2364412424.

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, 17152604 + ... + 17155076.

Almost surely, 242421446320 is an apocalyptic number.

42421446320 is a gapful number since it is divisible by the number (40) 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 42421446320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54634351392).

42421446320 is an abundant number, since it is smaller than the sum of its proper divisors (66847256464).

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

42421446320 is a wasteful number, since it uses less digits than its factorization.

42421446320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2791 (or 2785 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 42421446320 its reverse (2364412424), we get a palindrome (44785858744).

The spelling of 42421446320 in words is "forty-two billion, four hundred twenty-one million, four hundred forty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 101 110 176 193 202 220 386 404 440 505 772 808 880 965 1010 1111 1544 1616 1930 2020 2123 2222 2473 3088 3860 4040 4246 4444 4946 5555 7720 8080 8492 8888 9892 10615 11110 12365 15440 16984 17776 19493 19784 21230 22220 24730 27203 33968 38986 39568 42460 44440 49460 54406 77972 84920 88880 97465 98920 108812 136015 155944 169840 194930 197840 214423 217624 249773 272030 311888 389860 428846 435248 477289 499546 544060 779720 857692 954578 999092 1072115 1088120 1248865 1559440 1715384 1909156 1998184 2144230 2176240 2386445 2497730 2747503 3430768 3818312 3996368 4288460 4772890 4995460 5250179 5495006 7636624 8576920 9545780 9990920 10500358 10990012 13737515 17153840 19091560 19981840 21000716 21980024 26250895 27475030 38183120 42001432 43960048 48206189 52501790 54950060 84002864 96412378 105003580 109900120 192824756 210007160 219800240 241030945 385649512 420014320 482061890 530268079 771299024 964123780 1060536158 1928247560 2121072316 2651340395 3856495120 4242144632 5302680790 8484289264 10605361580 21210723160 42421446320