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132211422144 = 2632979712437
BaseRepresentation
bin111101100100001101…
…0100011001111000000
3110122021001010010111200
41323020122203033000
54131232111002034
6140423113341200
712360215355144
oct1731032431700
9418231103450
10132211422144
11510859a033a
1221759407800
13c6100a5149
14658307b224
15368c089a99
hex1ec86a33c0

132211422144 has 168 divisors, whose sum is σ = 383418545328. Its totient is φ = 43553341440.

The previous prime is 132211422137. The next prime is 132211422173. The reversal of 132211422144 is 441224112231.

132211422144 is a `hidden beast` number, since 1 + 3 + 221 + 1 + 422 + 14 + 4 = 666.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 54250494 + ... + 54252930.

It is an arithmetic number, because the mean of its divisors is an integer number (2282253246).

Almost surely, 2132211422144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132211422144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191709272664).

132211422144 is an abundant number, since it is smaller than the sum of its proper divisors (251207123184).

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

132211422144 is a wasteful number, since it uses less digits than its factorization.

132211422144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3523 (or 3510 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 132211422144 its reverse (441224112231), we get a palindrome (573435534375).

The spelling of 132211422144 in words is "one hundred thirty-two billion, two hundred eleven million, four hundred twenty-two thousand, one hundred forty-four".