Search a number
-
+
42444431314411 = 7531972632208131
BaseRepresentation
bin10011010011010010111010…
…10000000100110111101011
312120021122111101200212100211
421221221131100010313223
521030402143404030121
6230134411430441551
711640336401303440
oct1151513520046753
9176248441625324
1042444431314411
1112584644a53405
1249160222032b7
131a8b6535c7a49
14a6a4700459c7
154d912514bce1
hex269a5d404deb

42444431314411 has 32 divisors (see below), whose sum is σ = 49862941590528. Its totient is φ = 35378270229120.

The previous prime is 42444431314409. The next prime is 42444431314529. The reversal of 42444431314411 is 11441313444424.

42444431314411 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42444431314411 - 21 = 42444431314409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42444431314211) 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 31 ways as a sum of consecutive naturals, for example, 18117816 + ... + 20325946.

It is an arithmetic number, because the mean of its divisors is an integer number (1558216924704).

Almost surely, 242444431314411 is an apocalyptic number.

42444431314411 is a deficient number, since it is larger than the sum of its proper divisors (7418510276117).

42444431314411 is a wasteful number, since it uses less digits than its factorization.

42444431314411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2208651.

The product of its digits is 294912, while the sum is 40.

Adding to 42444431314411 its reverse (11441313444424), we get a palindrome (53885744758835).

The spelling of 42444431314411 in words is "forty-two trillion, four hundred forty-four billion, four hundred thirty-one million, three hundred fourteen thousand, four hundred eleven".

Divisors: 1 7 53 197 263 371 1379 1841 10441 13939 51811 73087 97573 362677 2208131 2745983 15456917 19221881 117030943 435001807 580738453 819216601 3045012649 4065169171 23055095771 30779138009 114405475241 161385670397 215453966063 800838326687 6063490187773 42444431314411