Search a number
-
+
4024420331031 = 33149052604853
BaseRepresentation
bin111010100100000010001…
…001001110111000010111
3112020201201202212001102000
4322210002021032320113
51011414003101043111
612320443154250343
7563516613253362
oct72440211167027
915221652761360
104024420331031
1113118243a6831
1254bb622869b3
13232669204359
14dcad67130d9
156ea3ed28c56
hex3a90224ee17

4024420331031 has 8 divisors (see below), whose sum is σ = 5962104194160. Its totient is φ = 2682946887336.

The previous prime is 4024420331017. The next prime is 4024420331033. The reversal of 4024420331031 is 1301330244204.

4024420331031 is a `hidden beast` number, since 40 + 244 + 20 + 331 + 0 + 31 = 666.

It is not a de Polignac number, because 4024420331031 - 26 = 4024420330967 is a prime.

It is a super-2 number, since 2×40244203310312 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 149052604853 = 4024420331031 / (4 + 0 + 2 + 4 + 4 + 2 + 0 + 3 + 3 + 1 + 0 + 3 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 4024420330986 and 4024420331004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4024420331033) 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 7 ways as a sum of consecutive naturals, for example, 74526302400 + ... + 74526302453.

It is an arithmetic number, because the mean of its divisors is an integer number (745263024270).

Almost surely, 24024420331031 is an apocalyptic number.

4024420331031 is a deficient number, since it is larger than the sum of its proper divisors (1937683863129).

4024420331031 is a wasteful number, since it uses less digits than its factorization.

4024420331031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149052604862 (or 149052604856 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 4024420331031 its reverse (1301330244204), we get a palindrome (5325750575235).

The spelling of 4024420331031 in words is "four trillion, twenty-four billion, four hundred twenty million, three hundred thirty-one thousand, thirty-one".

Divisors: 1 3 9 27 149052604853 447157814559 1341473443677 4024420331031