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448104027042 = 2357131717821
BaseRepresentation
bin1101000010101010001…
…01001101001110100010
31120211122010210010200000
412201111011031032202
524320204112331132
6541504532240430
744242302245550
oct6412505151642
91524563703600
10448104027042
1116304904a951
1272a19170116
1333343657479
141798cb96bd0
15b9c9ac887c
hex685514d3a2

448104027042 has 48 divisors (see below), whose sum is σ = 1150686892992. Its totient is φ = 128029721040.

The previous prime is 448104027011. The next prime is 448104027071. The reversal of 448104027042 is 240720401844.

448104027042 is a `hidden beast` number, since 448 + 104 + 0 + 2 + 70 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 448104026988 and 448104027006.

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 23 ways as a sum of consecutive naturals, for example, 65855509 + ... + 65862312.

It is an arithmetic number, because the mean of its divisors is an integer number (23972643604).

Almost surely, 2448104027042 is an apocalyptic number.

448104027042 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

448104027042 is an abundant number, since it is smaller than the sum of its proper divisors (702582865950).

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

448104027042 is a wasteful number, since it uses less digits than its factorization.

448104027042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131717845 (or 131717833 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

Adding to 448104027042 its reverse (240720401844), we get a palindrome (688824428886).

The spelling of 448104027042 in words is "four hundred forty-eight billion, one hundred four million, twenty-seven thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 1134 1701 3402 131717821 263435642 395153463 790306926 922024747 1185460389 1844049494 2370920778 2766074241 3556381167 5532148482 7112762334 8298222723 10669143501 16596445446 21338287002 24894668169 32007430503 49789336338 64014861006 74684004507 149368009014 224052013521 448104027042