Search a number
-
+
431012245124043 = 321131140440614247
BaseRepresentation
bin110001000000000001101101…
…1110000111011001111001011
32002112002100221102202001102200
41202000003123300323033023
5422443201034222432133
64124404143020131243
7156533415143040642
oct14200033360731713
92075070842661380
10431012245124043
111153742a29a7570
1240411088996b23
1315666384b1355b
147861165426359
1534c693e6ad913
hex18800dbc3b3cb

431012245124043 has 24 divisors (see below), whose sum is σ = 701079546326016. Its totient is φ = 252793105642800.

The previous prime is 431012245123897. The next prime is 431012245124057. The reversal of 431012245124043 is 340421542210134.

431012245124043 is a `hidden beast` number, since 4 + 3 + 1 + 0 + 1 + 2 + 245 + 1 + 2 + 404 + 3 = 666.

It is not a de Polignac number, because 431012245124043 - 220 = 431012244075467 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 431012245123989 and 431012245124007.

It is not an unprimeable number, because it can be changed into a prime (431012245124143) 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 23 ways as a sum of consecutive naturals, for example, 70220304055 + ... + 70220310192.

It is an arithmetic number, because the mean of its divisors is an integer number (29211647763584).

Almost surely, 2431012245124043 is an apocalyptic number.

431012245124043 is a deficient number, since it is larger than the sum of its proper divisors (270067301201973).

431012245124043 is a wasteful number, since it uses less digits than its factorization.

431012245124043 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140440614295 (or 140440614292 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 431012245124043 its reverse (340421542210134), we get a palindrome (771433787334177).

The spelling of 431012245124043 in words is "four hundred thirty-one trillion, twelve billion, two hundred forty-five million, one hundred twenty-four thousand, forty-three".

Divisors: 1 3 9 11 31 33 93 99 279 341 1023 3069 140440614247 421321842741 1263965528223 1544846756717 4353659041657 4634540270151 13060977124971 13903620810453 39182931374913 47890249458227 143670748374681 431012245124043