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142360363005135 = 35114121043660459
BaseRepresentation
bin100000010111100111011010…
…110111011111010011001111
3200200001111222110122210111020
4200113213122313133103033
5122124413010412131020
61222435240425525223
741662124335555302
oct4027473267372317
9620044873583436
10142360363005135
11413a6766653530
1213b72485643813
1361586a87bb392
1427223c7a66b39
15116d1be1d2c40
hex8179daddf4cf

142360363005135 has 32 divisors (see below), whose sum is σ = 254544116924160. Its totient is φ = 67339713465600.

The previous prime is 142360363005061. The next prime is 142360363005167. The reversal of 142360363005135 is 531500363063241.

It is not a de Polignac number, because 142360363005135 - 226 = 142360295896271 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10521823465 + ... + 10521836994.

It is an arithmetic number, because the mean of its divisors is an integer number (7954503653880).

Almost surely, 2142360363005135 is an apocalyptic number.

142360363005135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

142360363005135 is a deficient number, since it is larger than the sum of its proper divisors (112183753919025).

142360363005135 is a wasteful number, since it uses less digits than its factorization.

142360363005135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21043660519.

The product of its (nonzero) digits is 583200, while the sum is 42.

The spelling of 142360363005135 in words is "one hundred forty-two trillion, three hundred sixty billion, three hundred sixty-three million, five thousand, one hundred thirty-five".

Divisors: 1 3 5 11 15 33 41 55 123 165 205 451 615 1353 2255 6765 21043660459 63130981377 105218302295 231480265049 315654906885 694440795147 862790078819 1157401325245 2588370236457 3472203975735 4313950394095 9490690867009 12941851182285 28472072601027 47453454335045 142360363005135