Search a number
-
+
31440230433 = 342975717681
BaseRepresentation
bin11101010001111110…
…111101100000100001
310000011010100012010000
4131101332331200201
51003342144333213
622235441130213
72162055356253
oct352176754041
9100133305100
1031440230433
1112374210517
126115329969
132c7088b261
14174382dcd3
15c402b8c73
hex751fbd821

31440230433 has 40 divisors (see below), whose sum is σ = 48652730280. Its totient is φ = 20209512960.

The previous prime is 31440230417. The next prime is 31440230447. The reversal of 31440230433 is 33403204413.

31440230433 is a `hidden beast` number, since 314 + 40 + 2 + 304 + 3 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3621993489 + 27818236944 = 60183^2 + 166788^2 .

It is not a de Polignac number, because 31440230433 - 24 = 31440230417 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 31440230397 and 31440230406.

It is not an unprimeable number, because it can be changed into a prime (31440230453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1769353 + ... + 1787033.

It is an arithmetic number, because the mean of its divisors is an integer number (1216318257).

Almost surely, 231440230433 is an apocalyptic number.

It is an amenable number.

31440230433 is a deficient number, since it is larger than the sum of its proper divisors (17212499847).

31440230433 is a wasteful number, since it uses less digits than its factorization.

31440230433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18479 (or 18470 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 31440230433 its reverse (33403204413), we get a palindrome (64843434846).

The spelling of 31440230433 in words is "thirty-one billion, four hundred forty million, two hundred thirty thousand, four hundred thirty-three".

Divisors: 1 3 9 27 29 81 87 261 757 783 2271 2349 6813 17681 20439 21953 53043 61317 65859 159129 197577 477387 512749 592731 1432161 1538247 1778193 4614741 13384517 13844223 40153551 41532669 120460653 361381959 388150993 1084145877 1164452979 3493358937 10480076811 31440230433