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42710440000 = 26541067761
BaseRepresentation
bin100111110001101111…
…011001100001000000
311002020120020011012011
4213301233121201000
51144432333040000
631342040542304
73041255515144
oct476157314100
9132216204164
1042710440000
1117127a257a8
12833b781994
134048782c07
1420d255b224
15119e9302ba
hex9f1bd9840

42710440000 has 70 divisors (see below), whose sum is σ = 105908109494. Its totient is φ = 17084160000.

The previous prime is 42710439977. The next prime is 42710440001. The reversal of 42710440000 is 4401724.

It can be written as a sum of positive squares in 5 ways, for example, as 23413896256 + 19296543744 = 153016^2 + 138912^2 .

It is not an unprimeable number, because it can be changed into a prime (42710440001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 493881 + ... + 573880.

Almost surely, 242710440000 is an apocalyptic number.

42710440000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42710440000 is an abundant number, since it is smaller than the sum of its proper divisors (63197669494).

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

42710440000 is an equidigital number, since it uses as much as digits as its factorization.

42710440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067793 (or 1067768 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 22.

Adding to 42710440000 its reverse (4401724), we get a palindrome (42714841724).

The spelling of 42710440000 in words is "forty-two billion, seven hundred ten million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 8000 10000 20000 40000 1067761 2135522 4271044 5338805 8542088 10677610 17084176 21355220 26694025 34168352 42710440 53388050 68336704 85420880 106776100 133470125 170841760 213552200 266940250 341683520 427104400 533880500 667350625 854208800 1067761000 1334701250 1708417600 2135522000 2669402500 4271044000 5338805000 8542088000 10677610000 21355220000 42710440000