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142024311 = 321113211523
BaseRepresentation
bin10000111011100…
…01111001110111
3100220020120201200
420131301321313
5242324234221
622032023543
73343121022
oct1035617167
9326216650
10142024311
1173194a70
123b691bb3
1323568870
1414c101b9
15c706426
hex8771e77

142024311 has 48 divisors (see below), whose sum is σ = 242616192. Its totient is φ = 78926400.

The previous prime is 142024301. The next prime is 142024357. The reversal of 142024311 is 113420241.

142024311 is a `hidden beast` number, since 1 + 420 + 243 + 1 + 1 = 666.

It is not a de Polignac number, because 142024311 - 25 = 142024279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142024301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271296 + ... + 271818.

It is an arithmetic number, because the mean of its divisors is an integer number (5054504).

Almost surely, 2142024311 is an apocalyptic number.

142024311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

142024311 is a deficient number, since it is larger than the sum of its proper divisors (100591881).

142024311 is a wasteful number, since it uses less digits than its factorization.

142024311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 142024311 is about 11917.3953110569. The cubic root of 142024311 is about 521.7401159338.

Adding to 142024311 its reverse (113420241), we get a palindrome (255444552).

The spelling of 142024311 in words is "one hundred forty-two million, twenty-four thousand, three hundred eleven".

Divisors: 1 3 9 11 13 33 39 99 117 143 211 429 523 633 1287 1569 1899 2321 2743 4707 5753 6799 6963 8229 17259 20397 20889 24687 30173 51777 61191 74789 90519 110353 224367 271557 331059 673101 993177 1213883 1434589 3641649 4303767 10924947 12911301 15780479 47341437 142024311