Search a number
-
+
430132040211223 = 7374735334924851
BaseRepresentation
bin110000111001100111110101…
…1011101101001101100010111
32002101222012222102220120220101
41201303033223131221230113
5422334240404243224343
64122451533102114531
7156413004635525560
oct14163175335515427
92071865872816811
10430132040211223
11115064a791a8759
12402aa579b7ba47
131560137b4478ac
147830705025167
1534adac4e22e4d
hex18733eb769b17

430132040211223 has 16 divisors (see below), whose sum is σ = 515607223440384. Its totient is φ = 351087813309600.

The previous prime is 430132040211221. The next prime is 430132040211271. The reversal of 430132040211223 is 322112040231034.

It is a cyclic number.

It is not a de Polignac number, because 430132040211223 - 21 = 430132040211221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 430132040211191 and 430132040211200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430132040211221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17667450253 + ... + 17667474598.

It is an arithmetic number, because the mean of its divisors is an integer number (32225451465024).

Almost surely, 2430132040211223 is an apocalyptic number.

430132040211223 is a deficient number, since it is larger than the sum of its proper divisors (85475183229161).

430132040211223 is a wasteful number, since it uses less digits than its factorization.

430132040211223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35334924942.

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 430132040211223 its reverse (322112040231034), we get a palindrome (752244080442257).

The spelling of 430132040211223 in words is "four hundred thirty trillion, one hundred thirty-two billion, forty million, two hundred eleven thousand, two hundred twenty-three".

Divisors: 1 7 37 47 259 329 1739 12173 35334924851 247344473957 1307392219487 1660741467997 9151745536409 11625190275979 61447434315889 430132040211223