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432133360400149 = 805390415935313
BaseRepresentation
bin110001001000001011110001…
…1011100010011011100010101
32002200001112201212220222121121
41202100113203130103130111
5423120033110230301044
64131023154123243541
7160010414341461142
oct14220274334233425
92080045655828547
10432133360400149
11115766802285a71
12405724100795b1
1315718002365335
14789d51ad6d3c9
1534e5ba8c7c984
hex18905e3713715

432133360400149 has 8 divisors (see below), whose sum is σ = 432234897400152. Its totient is φ = 432031835304960.

The previous prime is 432133360400089. The next prime is 432133360400197. The reversal of 432133360400149 is 941004063331234.

It can be written as a sum of positive squares in 4 ways, for example, as 103146570332100 + 328986790068049 = 10156110^2 + 18137993^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 432133360400149 - 223 = 432133352011541 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432133360403149) 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 7 ways as a sum of consecutive naturals, for example, 69839517 + ... + 75774829.

It is an arithmetic number, because the mean of its divisors is an integer number (54029362175019).

Almost surely, 2432133360400149 is an apocalyptic number.

It is an amenable number.

432133360400149 is a deficient number, since it is larger than the sum of its proper divisors (101537000003).

432133360400149 is an equidigital number, since it uses as much as digits as its factorization.

432133360400149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5952407.

The product of its (nonzero) digits is 559872, while the sum is 43.

The spelling of 432133360400149 in words is "four hundred thirty-two trillion, one hundred thirty-three billion, three hundred sixty million, four hundred thousand, one hundred forty-nine".

Divisors: 1 8053 9041 5935313 72807173 47797075589 53661164833 432133360400149