Search a number
-
+
442344412542500 = 22541313610597309
BaseRepresentation
bin110010010010011110101010…
…1100100111111011000100100
32011000012201020122222221000222
41210210331111210333120210
5430434332324102330000
64204442115012223512
7162113220622555016
oct14444752544773044
92130181218887028
10442344412542500
11118a43236a92326
124174138890ab98
1315ca8b8c492910
147b33825d441b6
1536215d7583a85
hex1924f5593f624

442344412542500 has 60 divisors (see below), whose sum is σ = 1041727896912780. Its totient is φ = 163327167696000.

The previous prime is 442344412542493. The next prime is 442344412542511. The reversal of 442344412542500 is 5245214443244.

It can be written as a sum of positive squares in 10 ways, for example, as 384976028089636 + 57368384452864 = 19620806^2 + 7574192^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6805266155 + ... + 6805331154.

It is an arithmetic number, because the mean of its divisors is an integer number (17362131615213).

Almost surely, 2442344412542500 is an apocalyptic number.

It is an amenable number.

442344412542500 is an abundant number, since it is smaller than the sum of its proper divisors (599383484370280).

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

442344412542500 is a wasteful number, since it uses less digits than its factorization.

442344412542500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13610597346 (or 13610597329 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 44.

Adding to 442344412542500 its reverse (5245214443244), we get a palindrome (447589626985744).

The spelling of 442344412542500 in words is "four hundred forty-two trillion, three hundred forty-four billion, four hundred twelve million, five hundred forty-two thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 250 260 325 500 625 650 1250 1300 1625 2500 3250 6500 8125 16250 32500 13610597309 27221194618 54442389236 68052986545 136105973090 176937765017 272211946180 340264932725 353875530034 680529865450 707751060068 884688825085 1361059730900 1701324663625 1769377650170 3402649327250 3538755300340 4423444125425 6805298654500 8506623318125 8846888250850 17013246636250 17693776501700 22117220627125 34026493272500 44234441254250 88468882508500 110586103135625 221172206271250 442344412542500