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132113444131344 = 24313211720263031
BaseRepresentation
bin11110000010100000001110…
…111010000101001000010000
3122022202220220002000010010010
4132002200032322011020100
5114304021313144200334
61144552024532234520
736553611206340324
oct3602401672051020
9568686802003103
10132113444131344
1139105aa7026a65
121299857916ba40
135894323a213a0
14248a479409984
151041891be20e9
hex78280ee85210

132113444131344 has 40 divisors (see below), whose sum is σ = 367546376623552. Its totient is φ = 40650290501760.

The previous prime is 132113444131301. The next prime is 132113444131349. The reversal of 132113444131344 is 443131444311231.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (132113444131349) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 105860130892 + ... + 105860132139.

Almost surely, 2132113444131344 is an apocalyptic number.

It is an amenable number.

132113444131344 is an abundant number, since it is smaller than the sum of its proper divisors (235432932492208).

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

132113444131344 is a wasteful number, since it uses less digits than its factorization.

132113444131344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211720263055 (or 211720263049 counting only the distinct ones).

The product of its digits is 165888, while the sum is 39.

Adding to 132113444131344 its reverse (443131444311231), we get a palindrome (575244888442575).

The spelling of 132113444131344 in words is "one hundred thirty-two trillion, one hundred thirteen billion, four hundred forty-four million, one hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 211720263031 423440526062 635160789093 846881052124 1270321578186 1693762104248 2540643156372 2752363419403 3387524208496 5081286312744 5504726838806 8257090258209 10162572625488 11009453677612 16514180516418 22018907355224 33028361032836 44037814710448 66056722065672 132113444131344