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442420032032 = 25117317217467
BaseRepresentation
bin1100111000000100100…
…10011111001000100000
31120021222000100021100022
412130002102133020200
524222034012011112
6535124524413012
743651403136536
oct6340222371040
91507860307308
10442420032032
111606a1635310
12718b16a7168
1332948ba1404
14175add26156
15b795ab1d72
hex670249f220

442420032032 has 48 divisors (see below), whose sum is σ = 963214029792. Its totient is φ = 198345208320.

The previous prime is 442420032029. The next prime is 442420032077. The reversal of 442420032032 is 230230024244.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 442420031992 and 442420032010.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8583038 + ... + 8634429.

It is an arithmetic number, because the mean of its divisors is an integer number (20066958954).

Almost surely, 2442420032032 is an apocalyptic number.

It is an amenable number.

442420032032 is an abundant number, since it is smaller than the sum of its proper divisors (520793997760).

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

442420032032 is a wasteful number, since it uses less digits than its factorization.

442420032032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17217561 (or 17217553 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 442420032032 its reverse (230230024244), we get a palindrome (672650056276).

The spelling of 442420032032 in words is "four hundred forty-two billion, four hundred twenty million, thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 73 88 146 176 292 352 584 803 1168 1606 2336 3212 6424 12848 25696 17217467 34434934 68869868 137739736 189392137 275479472 378784274 550958944 757568548 1256875091 1515137096 2513750182 3030274192 5027500364 6060548384 10055000728 13825626001 20110001456 27651252002 40220002912 55302504004 110605008008 221210016016 442420032032