Search a number
-
+
42024442234141 = 1729387472199971
BaseRepresentation
bin10011000111000100100111…
…11100111000010100011101
312111210111102122011000011201
421203202103330320110131
521002012024202443031
6225213432351115501
711565110566105453
oct1143422374702435
9174714378130151
1042024442234141
1112432514080164
124868750812b91
131a5ab70936173
14a53dcb2009d3
154cd243942d61
hex263893f3851d

42024442234141 has 16 divisors (see below), whose sum is σ = 46032038130240. Its totient is φ = 38187536853760.

The previous prime is 42024442234139. The next prime is 42024442234241. The reversal of 42024442234141 is 14143224442024.

42024442234141 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 42024442234141 - 21 = 42024442234139 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 42024442234141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42024442234241) 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 15 ways as a sum of consecutive naturals, for example, 18002286 + ... + 20202256.

It is an arithmetic number, because the mean of its divisors is an integer number (2877002383140).

Almost surely, 242024442234141 is an apocalyptic number.

It is an amenable number.

42024442234141 is a deficient number, since it is larger than the sum of its proper divisors (4007595896099).

42024442234141 is a wasteful number, since it uses less digits than its factorization.

42024442234141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238764.

The product of its (nonzero) digits is 196608, while the sum is 37.

Adding to 42024442234141 its reverse (14143224442024), we get a palindrome (56167666676165).

The spelling of 42024442234141 in words is "forty-two trillion, twenty-four billion, four hundred forty-two million, two hundred thirty-four thousand, one hundred forty-one".

Divisors: 1 17 29 493 38747 658699 1123663 2199971 19102271 37399507 63799159 1084585703 85242276337 1449118697729 2472026013773 42024442234141