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442130420000 = 2554107206603
BaseRepresentation
bin1100110111100010000…
…01101101000100100000
31120021012211101110022202
412123301001231010200
524220440341420000
6535040101152332
743641255363563
oct6336101550440
91507184343282
10442130420000
11160563106525
12718306bb6a8
1332900b9c949
14175836984da
15b77a455dd5
hex66f106d120

442130420000 has 120 divisors (see below), whose sum is σ = 1097877954096. Its totient is φ = 175198496000.

The previous prime is 442130419987. The next prime is 442130420029. The reversal of 442130420000 is 24031244.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2036699 + ... + 2243301.

Almost surely, 2442130420000 is an apocalyptic number.

442130420000 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 442130420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548938977048).

442130420000 is an abundant number, since it is smaller than the sum of its proper divisors (655747534096).

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

442130420000 is a wasteful number, since it uses less digits than its factorization.

442130420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206740 (or 206717 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 442130420000 its reverse (24031244), we get a palindrome (442154451244).

The spelling of 442130420000 in words is "four hundred forty-two billion, one hundred thirty million, four hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 107 125 160 200 214 250 400 428 500 535 625 800 856 1000 1070 1250 1712 2000 2140 2500 2675 3424 4000 4280 5000 5350 8560 10000 10700 13375 17120 20000 21400 26750 42800 53500 66875 85600 107000 133750 206603 214000 267500 413206 428000 535000 826412 1033015 1070000 1652824 2066030 2140000 3305648 4132060 5165075 6611296 8264120 10330150 16528240 20660300 22106521 25825375 33056480 41320600 44213042 51650750 82641200 88426084 103301500 110532605 129126875 165282400 176852168 206603000 221065210 258253750 353704336 413206000 442130420 516507500 552663025 707408672 826412000 884260840 1033015000 1105326050 1768521680 2066030000 2210652100 2763315125 3537043360 4132060000 4421304200 5526630250 8842608400 11053260500 13816575625 17685216800 22106521000 27633151250 44213042000 55266302500 88426084000 110532605000 221065210000 442130420000