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14178141184 = 210614
BaseRepresentation
bin11010011010001010…
…10100010000000000
31100121002200012100011
431031011110100000
5213014101004214
610302514434304
71011230132404
oct151505242000
940532605304
1014178141184
116016211359
1228b8292994
13144c4b196c
14987009104
1557eac0ac4
hex34d154400

14178141184 has 55 divisors (see below), whose sum is σ = 28814810435. Its totient is φ = 6972856320.

The previous prime is 14178141181. The next prime is 14178141199. The reversal of 14178141184 is 48114187141.

It is a happy number.

The square root of 14178141184 is 119072.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 12393923584 + 1784217600 = 111328^2 + 42240^2 .

It is an ABA number since it can be written as A⋅BA, here for A=4, B=244.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14178141181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 232428514 + ... + 232428574.

Almost surely, 214178141184 is an apocalyptic number.

14178141184 is the 119072-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14178141184

14178141184 is an abundant number, since it is smaller than the sum of its proper divisors (14636669251).

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

14178141184 is an frugal number, since it uses more digits than its factorization.

14178141184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 63 counting only the distinct ones).

The product of its digits is 28672, while the sum is 40.

The spelling of 14178141184 in words is "fourteen billion, one hundred seventy-eight million, one hundred forty-one thousand, one hundred eighty-four".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 488 512 976 1024 1952 3721 3904 7442 7808 14884 15616 29768 31232 59536 62464 119072 226981 238144 453962 476288 907924 952576 1815848 1905152 3631696 3810304 7263392 13845841 14526784 27691682 29053568 55383364 58107136 110766728 116214272 221533456 232428544 443066912 886133824 1772267648 3544535296 7089070592 14178141184