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132044303430144 = 2933721032417853
BaseRepresentation
bin11110000001011111110101…
…110011001111001000000000
3122022112022102112120120121000
4132001133311303033020000
5114301403213134231034
61144500152055132000
736545612635151100
oct3601376563171000
9568468375516530
10132044303430144
1139089746997896
12129870a2074000
13588a95561c681
142486d9a997200
15103eb96c6d599
hex7817f5ccf200

132044303430144 has 960 divisors, whose sum is σ = 461052183271680. Its totient is φ = 37200901570560.

The previous prime is 132044303430131. The next prime is 132044303430163. The reversal of 132044303430144 is 441034303440231.

132044303430144 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 4 + 4 + 303 + 4 + 301 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 132044303430099 and 132044303430108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16814500522 + ... + 16814508374.

It is an arithmetic number, because the mean of its divisors is an integer number (480262690908).

Almost surely, 2132044303430144 is an apocalyptic number.

132044303430144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132044303430144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230526091635840).

132044303430144 is an abundant number, since it is smaller than the sum of its proper divisors (329007879841536).

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

132044303430144 is a wasteful number, since it uses less digits than its factorization.

132044303430144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8238 (or 8209 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 132044303430144 its reverse (441034303440231), we get a palindrome (573078606870375).

The spelling of 132044303430144 in words is "one hundred thirty-two trillion, forty-four billion, three hundred three million, four hundred thirty thousand, one hundred forty-four".