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132243131142 = 23323891196359
BaseRepresentation
bin111101100101001001…
…1100000101100000110
3110122100020210010002000
41323022103200230012
54131313220144032
6140430205130130
712361052032203
oct1731223405406
9418306703060
10132243131142
11510a1888821
1221767b59946
13c616827c75
146587372caa
15368ec4ee7c
hex1eca4e0b06

132243131142 has 64 divisors (see below), whose sum is σ = 310096512000. Its totient is φ = 41690683584.

The previous prime is 132243131131. The next prime is 132243131149. The reversal of 132243131142 is 241131342231.

132243131142 is a `hidden beast` number, since 13 + 224 + 313 + 114 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132243131149) 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 31 ways as a sum of consecutive naturals, for example, 487642 + ... + 708717.

It is an arithmetic number, because the mean of its divisors is an integer number (4845258000).

Almost surely, 2132243131142 is an apocalyptic number.

132243131142 is an abundant number, since it is smaller than the sum of its proper divisors (177853380858).

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

132243131142 is a wasteful number, since it uses less digits than its factorization.

132243131142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196482 (or 1196476 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 132243131142 its reverse (241131342231), we get a palindrome (373374473373).

The spelling of 132243131142 in words is "one hundred thirty-two billion, two hundred forty-three million, one hundred thirty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 89 138 178 207 267 414 534 621 801 1242 1602 2047 2403 4094 4806 6141 12282 18423 36846 55269 110538 1196359 2392718 3589077 7178154 10767231 21534462 27516257 32301693 55032514 64603386 82548771 106475951 165097542 212951902 247646313 319427853 495292626 638855706 742938939 958283559 1485877878 1916567118 2448946873 2874850677 4897893746 5749701354 7346840619 14693681238 22040521857 44081043714 66121565571 132243131142