Search a number
-
+
132104131414339 = 7171636810544487
BaseRepresentation
bin11110000010010111100011…
…110100111000100101000011
3122022202000212001111002000111
4132002113203310320211003
5114303343230120224324
61144543444500332151
736553131345503020
oct3602274364704503
9568660761432014
10132104131414339
1139102058265927
12129967ba3a4057
13589349b53cb56
142489c34670547
1510414e9343794
hex7825e3d38943

132104131414339 has 16 divisors (see below), whose sum is σ = 160837818628608. Its totient is φ = 105917587846272.

The previous prime is 132104131414331. The next prime is 132104131414379. The reversal of 132104131414339 is 933414131401231.

It is a cyclic number.

It is not a de Polignac number, because 132104131414339 - 23 = 132104131414331 is a prime.

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

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3405252847 + ... + 3405291640.

It is an arithmetic number, because the mean of its divisors is an integer number (10052363664288).

Almost surely, 2132104131414339 is an apocalyptic number.

132104131414339 is a deficient number, since it is larger than the sum of its proper divisors (28733687214269).

132104131414339 is a wasteful number, since it uses less digits than its factorization.

132104131414339 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6810544674.

The product of its (nonzero) digits is 93312, while the sum is 40.

The spelling of 132104131414339 in words is "one hundred thirty-two trillion, one hundred four billion, one hundred thirty-one million, four hundred fourteen thousand, three hundred thirty-nine".

Divisors: 1 7 17 119 163 1141 2771 19397 6810544487 47673811409 115779256279 810454793953 1110118751381 7770831259667 18872018773477 132104131414339