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42443011320040 = 2351576758441293
BaseRepresentation
bin10011010011010000010001…
…00111001110100011101000
312120021111211102201200021201
421221220020213032203220
521030341241344220130
6230134014503213544
711640256246454242
oct1151501047164350
9176244742650251
1042443011320040
1112583a86448641
1249158a67472b4
131a8b4883685a6
14a6a37760b092
154d9090657bca
hex269a089ce8e8

42443011320040 has 32 divisors (see below), whose sum is σ = 96105035200680. Its totient is φ = 16869069464832.

The previous prime is 42443011319993. The next prime is 42443011320067. The reversal of 42443011320040 is 4002311034424.

42443011320040 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 21176876163556 + 21266135156484 = 4601834^2 + 4611522^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42443011319990 and 42443011320008.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3379214367 + ... + 3379226926.

Almost surely, 242443011320040 is an apocalyptic number.

42443011320040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42443011320040 is an abundant number, since it is smaller than the sum of its proper divisors (53662023880640).

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

42443011320040 is a wasteful number, since it uses less digits than its factorization.

42443011320040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6758441461 (or 6758441457 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 42443011320040 its reverse (4002311034424), we get a palindrome (46445322354464).

The spelling of 42443011320040 in words is "forty-two trillion, four hundred forty-three billion, eleven million, three hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 157 314 628 785 1256 1570 3140 6280 6758441293 13516882586 27033765172 33792206465 54067530344 67584412930 135168825860 270337651720 1061075283001 2122150566002 4244301132004 5305376415005 8488602264008 10610752830010 21221505660020 42443011320040