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132140134432 = 2561116358207
BaseRepresentation
bin111101100010000101…
…0100111000000100000
3110122002001222100011001
41323010022213000200
54131110333300212
6140412045401344
712355361416225
oct1730412470040
9418061870131
10132140134432
115104972a879
1221739569254
13c5cb3a5477
14657780194c
153685ba7657
hex1ec42a7020

132140134432 has 48 divisors (see below), whose sum is σ = 264647561472. Its totient is φ = 64929957120.

The previous prime is 132140134429. The next prime is 132140134439. The reversal of 132140134432 is 234431041231.

It is a happy number.

It is a super-2 number, since 2×1321401344322 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132140134432.

It is not an unprimeable number, because it can be changed into a prime (132140134439) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2241073 + ... + 2299279.

It is an arithmetic number, because the mean of its divisors is an integer number (5513490864).

Almost surely, 2132140134432 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 132140134432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132323780736).

132140134432 is an abundant number, since it is smaller than the sum of its proper divisors (132507427040).

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

132140134432 is a wasteful number, since it uses less digits than its factorization.

132140134432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59441 (or 59433 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 132140134432 its reverse (234431041231), we get a palindrome (366571175663).

The spelling of 132140134432 in words is "one hundred thirty-two billion, one hundred forty million, one hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 61 122 244 488 976 1163 1952 2326 4652 9304 18608 37216 58207 70943 116414 141886 232828 283772 465656 567544 931312 1135088 1862624 2270176 3550627 7101254 14202508 28405016 56810032 67694741 113620064 135389482 270778964 541557928 1083115856 2166231712 4129379201 8258758402 16517516804 33035033608 66070067216 132140134432