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42441144114424 = 2311243844157143
BaseRepresentation
bin10011010011001100110010…
…10100011001110011111000
312120021100000022020210201011
421221212121110121303320
521030323430343130144
6230133105322403304
711640162054462136
oct1151463124316370
9176240008223634
1042441144114424
1112583208461400
124915465360534
131a8b24b5778b3
14a6a23b63c756
154d8ed1776a34
hex269999519cf8

42441144114424 has 24 divisors (see below), whose sum is σ = 87469093502280. Its totient is φ = 19291429142480.

The previous prime is 42441144114389. The next prime is 42441144114449.

42441144114424 is nontrivially palindromic in base 10.

42441144114424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 21922077604 + ... + 21922079539.

It is an arithmetic number, because the mean of its divisors is an integer number (3644545562595).

Almost surely, 242441144114424 is an apocalyptic number.

42441144114424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42441144114424 is an abundant number, since it is smaller than the sum of its proper divisors (45027949387856).

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

42441144114424 is a wasteful number, since it uses less digits than its factorization.

42441144114424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43844157171 (or 43844157156 counting only the distinct ones).

The product of its digits is 262144, while the sum is 40.

It can be divided in two parts, 4244114 and 4114424, that added together give a palindrome (8358538).

The spelling of 42441144114424 in words is "forty-two trillion, four hundred forty-one billion, one hundred forty-four million, one hundred fourteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 43844157143 87688314286 175376628572 350753257144 482285728573 964571457146 1929142914292 3858285828584 5305143014303 10610286028606 21220572057212 42441144114424