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32314131332 = 227211310211429
BaseRepresentation
bin11110000110000100…
…101000001110000100
310002102000201221202222
4132012010220032010
51012134404200312
622502255551512
72222526404300
oct360604501604
9102360657688
1032314131332
111278253716a
126319b2b598
13307c947392
1417c7914d00
15c91d8c672
hex786128384

32314131332 has 72 divisors (see below), whose sum is σ = 66475969560. Its totient is φ = 13703316480.

The previous prime is 32314131331. The next prime is 32314131373. The reversal of 32314131332 is 23313141323.

It can be written as a sum of positive squares in 4 ways, for example, as 756030016 + 31558101316 = 27496^2 + 177646^2 .

It is not an unprimeable number, because it can be changed into a prime (32314131331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22612394 + ... + 22613822.

It is an arithmetic number, because the mean of its divisors is an integer number (923277355).

Almost surely, 232314131332 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 32314131332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33237984780).

32314131332 is an abundant number, since it is smaller than the sum of its proper divisors (34161838228).

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

32314131332 is a wasteful number, since it uses less digits than its factorization.

32314131332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2581 (or 2572 counting only the distinct ones).

The product of its digits is 3888, while the sum is 26.

Adding to 32314131332 its reverse (23313141323), we get a palindrome (55627272655).

Subtracting from 32314131332 its reverse (23313141323), we obtain a palindrome (9000990009).

The spelling of 32314131332 in words is "thirty-two billion, three hundred fourteen million, one hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 98 113 196 226 452 791 1021 1429 1582 2042 2858 3164 4084 5537 5716 7147 10003 11074 14294 20006 22148 28588 40012 50029 70021 100058 115373 140042 161477 200116 230746 280084 322954 461492 645908 807611 1130339 1459009 1615222 2260678 2918018 3230444 4521356 5653277 5836036 7912373 10213063 11306554 15824746 20426126 22613108 31649492 40852252 71491441 142982882 164868017 285965764 329736034 659472068 1154076119 2308152238 4616304476 8078532833 16157065666 32314131332