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42332113440305 = 513250097175669
BaseRepresentation
bin10011010000000001101101…
…00101011000111000110001
312112212220120202210200110122
421220000312211120320301
521022032132020042210
6230011034320540025
711626252143155513
oct1150006645307061
9175786522720418
1042332113440305
1112540a48494167
1248b82b7181615
131a80b93b38100
14a64c5709dbb3
154d624e801b55
hex268036958e31

42332113440305 has 12 divisors (see below), whose sum is σ = 55006698885660. Its totient is φ = 31260637616832.

The previous prime is 42332113440293. The next prime is 42332113440307. The reversal of 42332113440305 is 50304431123324.

It can be written as a sum of positive squares in 6 ways, for example, as 19054412298496 + 23277701141809 = 4365136^2 + 4824697^2 .

It is not a de Polignac number, because 42332113440305 - 210 = 42332113439281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42332113440307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25048586990 + ... + 25048588679.

It is an arithmetic number, because the mean of its divisors is an integer number (4583891573805).

Almost surely, 242332113440305 is an apocalyptic number.

It is an amenable number.

42332113440305 is a deficient number, since it is larger than the sum of its proper divisors (12674585445355).

42332113440305 is a wasteful number, since it uses less digits than its factorization.

42332113440305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50097175700 (or 50097175687 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 35.

Adding to 42332113440305 its reverse (50304431123324), we get a palindrome (92636544563629).

The spelling of 42332113440305 in words is "forty-two trillion, three hundred thirty-two billion, one hundred thirteen million, four hundred forty thousand, three hundred five".

Divisors: 1 5 13 65 169 845 50097175669 250485878345 651263283697 3256316418485 8466422688061 42332113440305