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132032032141032 = 233212397914791039
BaseRepresentation
bin11110000001010100011010…
…010111111110111011101000
3122022111010202022222111112200
4132001110122113332323220
5114301203100212003112
61144450402254540200
736544666561004022
oct3601243227767350
9568433668874480
10132032032141032
113908451a091741
1212984838507660
13588974b20035a
142486554d1b012
15103e6c97b0cdc
hex78151a5feee8

132032032141032 has 48 divisors (see below), whose sum is σ = 357589662144000. Its totient is φ = 44010319419936.

The previous prime is 132032032140947. The next prime is 132032032141111. The reversal of 132032032141032 is 230141230230231.

132032032141032 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 320 + 321 + 4 + 10 + 3 + 2 = 666.

It is a super-2 number, since 2×1320320321410322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132032032140987 and 132032032141005.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1530969 + ... + 16322007.

It is an arithmetic number, because the mean of its divisors is an integer number (7449784628000).

Almost surely, 2132032032141032 is an apocalyptic number.

132032032141032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132032032141032 is an abundant number, since it is smaller than the sum of its proper divisors (225557630002968).

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

132032032141032 is a wasteful number, since it uses less digits than its factorization.

132032032141032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14915030 (or 14915023 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 132032032141032 its reverse (230141230230231), we get a palindrome (362173262371263).

The spelling of 132032032141032 in words is "one hundred thirty-two trillion, thirty-two billion, thirty-two million, one hundred forty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 123979 247958 371937 495916 743874 991832 1115811 1487748 2231622 2975496 4463244 8926488 14791039 29582078 44373117 59164156 88746234 118328312 133119351 177492468 266238702 354984936 532477404 1064954808 1833778224181 3667556448362 5501334672543 7335112896724 11002669345086 14670225793448 16504004017629 22005338690172 33008008035258 44010677380344 66016016070516 132032032141032