Search a number
-
+
4144111342231 = 76752811673179
BaseRepresentation
bin111100010011100000010…
…010001101001010010111
3112200011200020121101221211
4330103200102031022113
51020344120000422411
612451440052122251
7605254641130660
oct74234022151227
915604606541854
104144111342231
1113585648a8003
1256b1a6606387
13240a323943c3
1410480c9c6367
1572be7ae7221
hex3c4e048d297

4144111342231 has 16 divisors (see below), whose sum is σ = 4807728797440. Its totient is φ = 3498414416640.

The previous prime is 4144111342223. The next prime is 4144111342289. The reversal of 4144111342231 is 1322431114414.

It is a cyclic number.

It is not a de Polignac number, because 4144111342231 - 23 = 4144111342223 is a prime.

It is a super-2 number, since 2×41441113422312 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4144111342193 and 4144111342202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144111342201) 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 15 ways as a sum of consecutive naturals, for example, 1640200 + ... + 3313378.

It is an arithmetic number, because the mean of its divisors is an integer number (300483049840).

Almost surely, 24144111342231 is an apocalyptic number.

4144111342231 is a deficient number, since it is larger than the sum of its proper divisors (663617455209).

4144111342231 is a wasteful number, since it uses less digits than its factorization.

4144111342231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678534.

The product of its digits is 9216, while the sum is 31.

Adding to 4144111342231 its reverse (1322431114414), we get a palindrome (5466542456645).

The spelling of 4144111342231 in words is "four trillion, one hundred forty-four billion, one hundred eleven million, three hundred forty-two thousand, two hundred thirty-one".

Divisors: 1 7 67 469 5281 36967 353827 1673179 2476789 11712253 112102993 784720951 8836058299 61852408093 592015906033 4144111342231