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132142144240 = 2455927996217
BaseRepresentation
bin111101100010001001…
…0010001101011110000
3110122002012202110002101
41323010102101223300
54131111342103430
6140412200430144
712355414456561
oct1730422215360
9418065673071
10132142144240
115104a882877
122173a178354
13c5cb92a1c2
146577ba6168
153685e52dca
hex1ec4491af0

132142144240 has 40 divisors (see below), whose sum is σ = 312437792880. Its totient is φ = 51960976896.

The previous prime is 132142144213. The next prime is 132142144247. The reversal of 132142144240 is 42441241231.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 132142144199 and 132142144208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132142144247) by changing a digit.

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, 13993389 + ... + 14002828.

It is an arithmetic number, because the mean of its divisors is an integer number (7810944822).

Almost surely, 2132142144240 is an apocalyptic number.

132142144240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132142144240 is an abundant number, since it is smaller than the sum of its proper divisors (180295648640).

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

132142144240 is a wasteful number, since it uses less digits than its factorization.

132142144240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27996289 (or 27996283 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 132142144240 its reverse (42441241231), we get a palindrome (174583385471).

The spelling of 132142144240 in words is "one hundred thirty-two billion, one hundred forty-two million, one hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 236 295 472 590 944 1180 2360 4720 27996217 55992434 111984868 139981085 223969736 279962170 447939472 559924340 1119848680 1651776803 2239697360 3303553606 6607107212 8258884015 13214214424 16517768030 26428428848 33035536060 66071072120 132142144240