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132004224144 = 24321370515077
BaseRepresentation
bin111101011110000010…
…0001001110010010000
3110121201121020101021200
41322330010021302100
54130321040133034
6140350352351200
712352121251302
oct1727404116220
9417647211250
10132004224144
1150a89a41421
12216bbb45500
13c5a919a790
146563743972
153678caca99
hex1ebc109c90

132004224144 has 60 divisors (see below), whose sum is σ = 397846070076. Its totient is φ = 40616683776.

The previous prime is 132004224119. The next prime is 132004224173. The reversal of 132004224144 is 441422400231.

132004224144 is a `hidden beast` number, since 1 + 3 + 200 + 42 + 2 + 414 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29040249744 + 102963974400 = 170412^2 + 320880^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35255667 + ... + 35259410.

Almost surely, 2132004224144 is an apocalyptic number.

It is an amenable number.

132004224144 is an abundant number, since it is smaller than the sum of its proper divisors (265841845932).

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

132004224144 is a wasteful number, since it uses less digits than its factorization.

132004224144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70515104 (or 70515095 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 132004224144 its reverse (441422400231), we get a palindrome (573426624375).

The spelling of 132004224144 in words is "one hundred thirty-two billion, four million, two hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 70515077 141030154 211545231 282060308 423090462 564120616 634635693 846180924 916696001 1128241232 1269271386 1692361848 1833392002 2538542772 2750088003 3384723696 3666784004 5077085544 5500176006 7333568008 8250264009 10154171088 11000352012 14667136016 16500528018 22000704024 33001056036 44001408048 66002112072 132004224144