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132104131414332 = 223711142969839193
BaseRepresentation
bin11110000010010111100011…
…110100111000100100111100
3122022202000212001111002000020
4132002113203310320210330
5114303343230120224312
61144543444500332140
736553131345503010
oct3602274364704474
9568660761432006
10132104131414332
1139102058265920
12129967ba3a4050
13589349b53cb4c
142489c34670540
1510414e934378c
hex7825e3d3893c

132104131414332 has 48 divisors (see below), whose sum is σ = 384302927753472. Its totient is φ = 34312761406080.

The previous prime is 132104131414331. The next prime is 132104131414379. The reversal of 132104131414332 is 233414131401231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 132104131414293 and 132104131414302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132104131414331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71484918673 + ... + 71484920520.

It is an arithmetic number, because the mean of its divisors is an integer number (8006310994864).

Almost surely, 2132104131414332 is an apocalyptic number.

132104131414332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132104131414332 is an abundant number, since it is smaller than the sum of its proper divisors (252198796339140).

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

132104131414332 is a wasteful number, since it uses less digits than its factorization.

132104131414332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142969839218 (or 142969839216 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 132104131414332 its reverse (233414131401231), we get a palindrome (365518262815563).

The spelling of 132104131414332 in words is "one hundred thirty-two trillion, one hundred four billion, one hundred thirty-one million, four hundred fourteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 142969839193 285939678386 428909517579 571879356772 857819035158 1000788874351 1572668231123 1715638070316 2001577748702 3002366623053 3145336462246 4003155497404 4718004693369 6004733246106 6290672924492 9436009386738 11008677617861 12009466492212 18872018773476 22017355235722 33026032853583 44034710471444 66052065707166 132104131414332