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132141311512 = 23731347219361
BaseRepresentation
bin111101100010000111…
…1000110011000011000
3110122002011012010210121
41323010033012120120
54131111133432022
6140412130523024
712355404421030
oct1730417063030
9418064163717
10132141311512
115104a364171
1221739a36474
13c5cb6c8172
146577a2a8c0
153685d3b2c7
hex1ec43c6618

132141311512 has 64 divisors (see below), whose sum is σ = 293137827840. Its totient is φ = 54646963200.

The previous prime is 132141311501. The next prime is 132141311531. The reversal of 132141311512 is 215113141231.

It is a super-2 number, since 2×1321413115122 (a number of 23 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 492712 + ... + 712072.

It is an arithmetic number, because the mean of its divisors is an integer number (4580278560).

Almost surely, 2132141311512 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 132141311512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146568913920).

132141311512 is an abundant number, since it is smaller than the sum of its proper divisors (160996516328).

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

132141311512 is a wasteful number, since it uses less digits than its factorization.

132141311512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219752 (or 219748 counting only the distinct ones).

The product of its digits is 720, while the sum is 25.

Adding to 132141311512 its reverse (215113141231), we get a palindrome (347254452743).

The spelling of 132141311512 in words is "one hundred thirty-two billion, one hundred forty-one million, three hundred eleven thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 217 248 347 434 694 868 1388 1736 2429 2776 4858 9716 10757 19432 21514 43028 75299 86056 150598 219361 301196 438722 602392 877444 1535527 1754888 3071054 6142108 6800191 12284216 13600382 27200764 47601337 54401528 76118267 95202674 152236534 190405348 304473068 380810696 532827869 608946136 1065655738 2131311476 2359666277 4262622952 4719332554 9438665108 16517663939 18877330216 33035327878 66070655756 132141311512