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132024300144 = 243111913160317
BaseRepresentation
bin111101011110101000…
…0101111001001110000
3110121210000000100101020
41322331100233021300
54130341210101034
6140352350535440
712352454015022
oct1727520571160
9417700010336
10132024300144
1150a9a303860
1221706807580
13c5b03a9679
14656628c012
15367a926249
hex1ebd42f270

132024300144 has 80 divisors (see below), whose sum is σ = 391651063680. Its totient is φ = 37901710080.

The previous prime is 132024300139. The next prime is 132024300169. The reversal of 132024300144 is 441003420231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6570127 + ... + 6590190.

It is an arithmetic number, because the mean of its divisors is an integer number (4895638296).

Almost surely, 2132024300144 is an apocalyptic number.

It is an amenable number.

132024300144 is an abundant number, since it is smaller than the sum of its proper divisors (259626763536).

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

132024300144 is a wasteful number, since it uses less digits than its factorization.

132024300144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13160358 (or 13160352 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 132024300144 its reverse (441003420231), we get a palindrome (573027720375).

The spelling of 132024300144 in words is "one hundred thirty-two billion, twenty-four million, three hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 132 152 176 209 228 264 304 418 456 528 627 836 912 1254 1672 2508 3344 5016 10032 13160317 26320634 39480951 52641268 78961902 105282536 144763487 157923804 210565072 250046023 289526974 315847608 434290461 500092046 579053948 631695216 750138069 868580922 1000184092 1158107896 1500276138 1737161844 2000368184 2316215792 2750506253 3000552276 3474323688 4000736368 5501012506 6001104552 6948647376 8251518759 11002025012 12002209104 16503037518 22004050024 33006075036 44008100048 66012150072 132024300144