Search a number
-
+
42213311331224 = 2311479696719673
BaseRepresentation
bin10011001100100100011010…
…11011010011101110011000
312112110112221020200020101112
421212102031123103232120
521013110330200044344
6225440305535235452
711614545130665455
oct1146221533235630
9175415836606345
1042213311331224
11124a5623825240
124899280678b88
131a7290cb87247
14a5d1c6c9882c
154d30e9abbc9e
hex26648d6d3b98

42213311331224 has 16 divisors (see below), whose sum is σ = 86345409541320. Its totient is φ = 19187868786880.

The previous prime is 42213311331223. The next prime is 42213311331251.

42213311331224 is nontrivially palindromic in base 10.

42213311331224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42213311331223) 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 3 ways as a sum of consecutive naturals, for example, 239848359749 + ... + 239848359924.

Almost surely, 242213311331224 is an apocalyptic number.

42213311331224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42213311331224 is an abundant number, since it is smaller than the sum of its proper divisors (44132098210096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42213311331224 is a wasteful number, since it uses less digits than its factorization.

42213311331224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479696719690 (or 479696719686 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

It can be divided in two parts, 4221331 and 1331224, that added together give a palindrome (5552555).

The spelling of 42213311331224 in words is "forty-two trillion, two hundred thirteen billion, three hundred eleven million, three hundred thirty-one thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 88 479696719673 959393439346 1918786878692 3837573757384 5276663916403 10553327832806 21106655665612 42213311331224