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42145550145 = 325936567781
BaseRepresentation
bin100111010000000100…
…100000111101000001
311000210012021202222200
4213100010200331001
51142303230101040
631210021223413
73021256160016
oct472004407501
9130705252880
1042145550145
1116968078686
128202561b69
133c8872b26a
14207b51370d
15116a04a630
hex9d0120f41

42145550145 has 12 divisors (see below), whose sum is σ = 73052286996. Its totient is φ = 22477626720.

The previous prime is 42145550137. The next prime is 42145550177. The reversal of 42145550145 is 54105554124.

42145550145 is a `hidden beast` number, since 4 + 2 + 145 + 5 + 501 + 4 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13390886961 + 28754663184 = 115719^2 + 169572^2 .

It is not a de Polignac number, because 42145550145 - 23 = 42145550137 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 468283846 + ... + 468283935.

It is an arithmetic number, because the mean of its divisors is an integer number (6087690583).

Almost surely, 242145550145 is an apocalyptic number.

42145550145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42145550145 is a deficient number, since it is larger than the sum of its proper divisors (30906736851).

42145550145 is a wasteful number, since it uses less digits than its factorization.

42145550145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936567792 (or 936567789 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The spelling of 42145550145 in words is "forty-two billion, one hundred forty-five million, five hundred fifty thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 936567781 2809703343 4682838905 8429110029 14048516715 42145550145