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132211443144 = 23311500800921
BaseRepresentation
bin111101100100001101…
…0101000010111001000
3110122021001011012022110
41323020122220113020
54131232112140034
6140423114022320
712360215503314
oct1731032502710
9418231135273
10132211443144
1151085a050a0
12217594179a0
13c6100b1881
146583084b44
15368c090de9
hex1ec86a85c8

132211443144 has 32 divisors (see below), whose sum is σ = 360576663840. Its totient is φ = 40064073600.

The previous prime is 132211443131. The next prime is 132211443167. The reversal of 132211443144 is 441344112231.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 250400197 + ... + 250400724.

It is an arithmetic number, because the mean of its divisors is an integer number (11268020745).

Almost surely, 2132211443144 is an apocalyptic number.

It is an amenable number.

132211443144 is an abundant number, since it is smaller than the sum of its proper divisors (228365220696).

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

132211443144 is a wasteful number, since it uses less digits than its factorization.

132211443144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500800941 (or 500800937 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

Adding to 132211443144 its reverse (441344112231), we get a palindrome (573555555375).

The spelling of 132211443144 in words is "one hundred thirty-two billion, two hundred eleven million, four hundred forty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 500800921 1001601842 1502402763 2003203684 3004805526 4006407368 5508810131 6009611052 11017620262 12019222104 16526430393 22035240524 33052860786 44070481048 66105721572 132211443144