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442441102432 = 2571975183493
BaseRepresentation
bin1100111000000111000…
…10110111010001100000
31120022000110222202111111
412130003202313101200
524222104410234212
6535131000153104
743652050214350
oct6340342672140
91508013882444
10442441102432
1116070251686a
12718b8768794
133295036aac4
14175b2a4cb60
15b797874ea7
hex67038b7460

442441102432 has 24 divisors (see below), whose sum is σ = 995492480976. Its totient is φ = 189617615232.

The previous prime is 442441102423. The next prime is 442441102487. The reversal of 442441102432 is 234201144244.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 442441102394 and 442441102403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 987591523 + ... + 987591970.

It is an arithmetic number, because the mean of its divisors is an integer number (41478853374).

Almost surely, 2442441102432 is an apocalyptic number.

It is an amenable number.

442441102432 is an abundant number, since it is smaller than the sum of its proper divisors (553051378544).

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

442441102432 is a wasteful number, since it uses less digits than its factorization.

442441102432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1975183510 (or 1975183502 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 442441102432 its reverse (234201144244), we get a palindrome (676642246676).

The spelling of 442441102432 in words is "four hundred forty-two billion, four hundred forty-one million, one hundred two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 1975183493 3950366986 7900733972 13826284451 15801467944 27652568902 31602935888 55305137804 63205871776 110610275608 221220551216 442441102432