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42441432456627 = 333772758437299
BaseRepresentation
bin10011010011001101010101…
…00000010101110110110011
312120021100202101211002212000
421221212222200111312303
521030330023202103002
6230133154102505043
711640202155366021
oct1151465240256663
9176240671732760
1042441432456627
11125833461a3146
124915525a35183
131a8b296223399
14a6a267a59711
154d8eebc3161c
hex2699aa815db3

42441432456627 has 32 divisors (see below), whose sum is σ = 64664378688000. Its totient is φ = 27491709969504.

The previous prime is 42441432456559. The next prime is 42441432456653. The reversal of 42441432456627 is 72665423414424.

42441432456627 is a `hidden beast` number, since 4 + 2 + 4 + 4 + 1 + 4 + 3 + 2 + 4 + 5 + 6 + 627 = 666.

42441432456627 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42441432456627 - 210 = 42441432455603 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42441432456127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28492377 + ... + 29944922.

It is an arithmetic number, because the mean of its divisors is an integer number (2020761834000).

Almost surely, 242441432456627 is an apocalyptic number.

42441432456627 is a deficient number, since it is larger than the sum of its proper divisors (22222946231373).

42441432456627 is a wasteful number, since it uses less digits than its factorization.

42441432456627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58438072 (or 58438066 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 54.

The spelling of 42441432456627 in words is "forty-two trillion, four hundred forty-one billion, four hundred thirty-two million, four hundred fifty-six thousand, six hundred twenty-seven".

Divisors: 1 3 9 27 37 111 333 727 999 2181 6543 19629 26899 80697 242091 726273 58437299 175311897 525935691 1577807073 2162180063 6486540189 19459620567 42483916373 58378861701 127451749119 382355247357 1147065742071 1571904905801 4715714717403 14147144152209 42441432456627