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42145430535 = 3251385983869
BaseRepresentation
bin100111010000000100…
…000011110000000111
311000210012001200220200
4213100010003300013
51142303212234120
631210014501543
73021255151215
oct472004036007
9130705050820
1042145430535
1116967aa682a
1282025048b3
133c886b89a0
14207b4c1cb5
15116a024e90
hex9d0103c07

42145430535 has 48 divisors (see below), whose sum is σ = 78763994400. Its totient is φ = 20724118272.

The previous prime is 42145430521. The next prime is 42145430539. The reversal of 42145430535 is 53503454124.

42145430535 is a `hidden beast` number, since 4 + 214 + 5 + 430 + 5 + 3 + 5 = 666.

It is not a de Polignac number, because 42145430535 - 24 = 42145430519 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42145430535.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42145430539) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 460581 + ... + 544449.

It is an arithmetic number, because the mean of its divisors is an integer number (1640916550).

Almost surely, 242145430535 is an apocalyptic number.

42145430535 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42145430535 is a deficient number, since it is larger than the sum of its proper divisors (36618563865).

42145430535 is a wasteful number, since it uses less digits than its factorization.

42145430535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84752 (or 84749 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 42145430535 its reverse (53503454124), we get a palindrome (95648884659).

The spelling of 42145430535 in words is "forty-two billion, one hundred forty-five million, four hundred thirty thousand, five hundred thirty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 859 2577 4295 7731 11167 12885 33501 38655 55835 83869 100503 167505 251607 419345 502515 754821 1090297 1258035 3270891 3774105 5451485 9812673 16354455 49063365 72043471 216130413 360217355 648391239 936565123 1080652065 2809695369 3241956195 4682825615 8429086107 14048476845 42145430535