Search a number
-
+
442312141213244 = 22313978984970773
BaseRepresentation
bin110010010010001111101001…
…0000011101000111000111100
32011000002121221121210112200002
41210210133102003220320330
5430433320231122310434
64204415220441453432
7162110666123026001
oct14444372203507074
92130077847715602
10442312141213244
11118a3058672aa85
12417370811a1278
1315ca5b18683613
147b32043db18a8
15362084934d57e
hex19247d20e8e3c

442312141213244 has 24 divisors (see below), whose sum is σ = 801028114443648. Its totient is φ = 213482905542720.

The previous prime is 442312141213237. The next prime is 442312141213289.

442312141213244 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 442312141213198 and 442312141213207.

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 7 ways as a sum of consecutive naturals, for example, 4492436159 + ... + 4492534614.

It is an arithmetic number, because the mean of its divisors is an integer number (33376171435152).

Almost surely, 2442312141213244 is an apocalyptic number.

It is an amenable number.

442312141213244 is a deficient number, since it is larger than the sum of its proper divisors (358715973230404).

442312141213244 is a wasteful number, since it uses less digits than its factorization.

442312141213244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8984971205 (or 8984971203 counting only the distinct ones).

The product of its digits is 147456, while the sum is 38.

The spelling of 442312141213244 in words is "four hundred forty-two trillion, three hundred twelve billion, one hundred forty-one million, two hundred thirteen thousand, two hundred forty-four".

Divisors: 1 2 4 31 62 124 397 794 1588 12307 24614 49228 8984970773 17969941546 35939883092 278534093963 557068187926 1114136375852 3567033396881 7134066793762 14268133587524 110578035303311 221156070606622 442312141213244