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30340142144 = 261336466517
BaseRepresentation
bin11100010000011010…
…011101010001000000
32220022110022220200022
4130100122131101000
5444114034022034
621534342313012
72122566644624
oct342032352100
986273286608
1030340142144
111195a245944
125a68a28768
132b269a9340
14167b6ab184
15bc8916b2e
hex71069d440

30340142144 has 28 divisors (see below), whose sum is σ = 64837469004. Its totient is φ = 14003142144.

The previous prime is 30340142111. The next prime is 30340142159. The reversal of 30340142144 is 44124104303.

It can be written as a sum of positive squares in 2 ways, for example, as 2491207744 + 27848934400 = 49912^2 + 166880^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 18232427 + ... + 18234090.

It is an arithmetic number, because the mean of its divisors is an integer number (2315623893).

Almost surely, 230340142144 is an apocalyptic number.

It is an amenable number.

30340142144 is an abundant number, since it is smaller than the sum of its proper divisors (34497326860).

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

30340142144 is a wasteful number, since it uses less digits than its factorization.

30340142144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36466542 (or 36466532 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 30340142144 its reverse (44124104303), we get a palindrome (74464246447).

The spelling of 30340142144 in words is "thirty billion, three hundred forty million, one hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 36466517 72933034 145866068 291732136 474064721 583464272 948129442 1166928544 1896258884 2333857088 3792517768 7585035536 15170071072 30340142144