Search a number
-
+
432132334130 = 25729212873071
BaseRepresentation
bin1100100100111010001…
…10000010001000110010
31112022102001020001220002
412102131012002020302
524040001334143010
6530304023350002
743135433143310
oct6223506021062
91468361201802
10432132334130
111572a2489642
126b9002b2302
13319997027c3
1416cb58b30b0
15b3928251a5
hex649d182232

432132334130 has 32 divisors (see below), whose sum is σ = 919611671040. Its totient is φ = 143050703040.

The previous prime is 432132334099. The next prime is 432132334141. The reversal of 432132334130 is 31433231234.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 432132334093 and 432132334102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106434506 + ... + 106438565.

It is an arithmetic number, because the mean of its divisors is an integer number (28737864720).

Almost surely, 2432132334130 is an apocalyptic number.

432132334130 is an abundant number, since it is smaller than the sum of its proper divisors (487479336910).

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

432132334130 is a wasteful number, since it uses less digits than its factorization.

432132334130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212873114.

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 432132334130 its reverse (31433231234), we get a palindrome (463565565364).

The spelling of 432132334130 in words is "four hundred thirty-two billion, one hundred thirty-two million, three hundred thirty-four thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 29 35 58 70 145 203 290 406 1015 2030 212873071 425746142 1064365355 1490111497 2128730710 2980222994 6173319059 7450557485 12346638118 14901114970 30866595295 43213233413 61733190590 86426466826 216066167065 432132334130