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42435334350389 is a prime number
BaseRepresentation
bin10011010011000001111110…
…00001111010011000110101
312120020210000102011012201102
421221200333001322120311
521030230031043203024
6230130305023135445
711636565100343441
oct1151407701723065
9176223012135642
1042435334350389
11125807a6a54722
124914303744585
131a8a833a27ab6
14a69c49bcd821
154d8c916ba1ae
hex26983f07a635

42435334350389 has 2 divisors, whose sum is σ = 42435334350390. Its totient is φ = 42435334350388.

The previous prime is 42435334350371. The next prime is 42435334350413. The reversal of 42435334350389 is 98305343353424.

42435334350389 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26729830608100 + 15705503742289 = 5170090^2 + 3963017^2 .

It is a cyclic number.

It is not a de Polignac number, because 42435334350389 - 232 = 42431039383093 is a prime.

It is a super-4 number, since 4×424353343503894 (a number of 56 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42435334350349) 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 as a sum of consecutive naturals, namely, 21217667175194 + 21217667175195.

It is an arithmetic number, because the mean of its divisors is an integer number (21217667175195).

Almost surely, 242435334350389 is an apocalyptic number.

It is an amenable number.

42435334350389 is a deficient number, since it is larger than the sum of its proper divisors (1).

42435334350389 is an equidigital number, since it uses as much as digits as its factorization.

42435334350389 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 55987200, while the sum is 56.

The spelling of 42435334350389 in words is "forty-two trillion, four hundred thirty-five billion, three hundred thirty-four million, three hundred fifty thousand, three hundred eighty-nine".