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30346122144 = 2531324315803
BaseRepresentation
bin11100010000110001…
…010001001110100000
32220022212120201200210
4130100301101032200
5444122101402034
621535114414120
72123001532212
oct342061211640
986285521623
1030346122144
111196265a798
125a6aa31340
132b27cc11c0
14167c3c65b2
15bc91e88e9
hex710c513a0

30346122144 has 48 divisors (see below), whose sum is σ = 85786156512. Its totient is φ = 9337267968.

The previous prime is 30346122143. The next prime is 30346122173. The reversal of 30346122144 is 44122164303.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (30346122143) 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 7 ways as a sum of consecutive naturals, for example, 12156654 + ... + 12159149.

It is an arithmetic number, because the mean of its divisors is an integer number (1787211594).

Almost surely, 230346122144 is an apocalyptic number.

It is an amenable number.

30346122144 is an abundant number, since it is smaller than the sum of its proper divisors (55440034368).

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

30346122144 is a wasteful number, since it uses less digits than its factorization.

30346122144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24315829 (or 24315821 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 30346122144 its reverse (44122164303), we get a palindrome (74468286447).

The spelling of 30346122144 in words is "thirty billion, three hundred forty-six million, one hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 24315803 48631606 72947409 97263212 145894818 194526424 291789636 316105439 389052848 583579272 632210878 778105696 948316317 1167158544 1264421756 1896632634 2334317088 2528843512 3793265268 5057687024 7586530536 10115374048 15173061072 30346122144