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312142134202410 = 23510404737806747
BaseRepresentation
bin100011011111001000100000…
…1000001110101000000101010
31111221012111102000121021201110
41012332101001001311000222
5311403114042323434120
63023512041123331150
7122514345033336261
oct10676210101650052
91457174360537643
10312142134202410
1190504810257306
122b0132a1220ab6
1310522b5288b245
145711a8d2735d8
1526147eea222e0
hex11be44107502a

312142134202410 has 16 divisors (see below), whose sum is σ = 749141122085856. Its totient is φ = 83237902453968.

The previous prime is 312142134202333. The next prime is 312142134202469. The reversal of 312142134202410 is 14202431241213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 10404737806747 = 312142134202410 / (3 + 1 + 2 + 1 + 4 + 2 + 1 + 3 + 4 + 2 + 0 + 2 + 4 + 1 + 0).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5202368903344 + ... + 5202368903403.

It is an arithmetic number, because the mean of its divisors is an integer number (46821320130366).

Almost surely, 2312142134202410 is an apocalyptic number.

312142134202410 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

312142134202410 is an abundant number, since it is smaller than the sum of its proper divisors (436998987883446).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312142134202410 is a wasteful number, since it uses less digits than its factorization.

312142134202410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10404737806757.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 312142134202410 its reverse (14202431241213), we get a palindrome (326344565443623).

The spelling of 312142134202410 in words is "three hundred twelve trillion, one hundred forty-two billion, one hundred thirty-four million, two hundred two thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 30 10404737806747 20809475613494 31214213420241 52023689033735 62428426840482 104047378067470 156071067101205 312142134202410