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1130243222440 = 235375931287821
BaseRepresentation
bin10000011100100111101…
…111101110101110101000
311000001100121000122120101
4100130213233232232220
5122004214231104230
62223120534435144
7144441323606503
oct20344757565650
94001317018511
101130243222440
113a6373919702
12163070202ab4
138277367bb77
143c9bdd4613a
151e600b20aca
hex10727beeba8

1130243222440 has 64 divisors (see below), whose sum is σ = 2616184636560. Its totient is φ = 439136317440.

The previous prime is 1130243222419. The next prime is 1130243222447. The reversal of 1130243222440 is 442223420311.

It can be written as a sum of positive squares in 8 ways, for example, as 634517392356 + 495725830084 = 796566^2 + 704078^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1130243222399 and 1130243222408.

It is not an unprimeable number, because it can be changed into a prime (1130243222447) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 233730 + ... + 1521550.

Almost surely, 21130243222440 is an apocalyptic number.

1130243222440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130243222440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308092318280).

1130243222440 is an abundant number, since it is smaller than the sum of its proper divisors (1485941414120).

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

1130243222440 is a wasteful number, since it uses less digits than its factorization.

1130243222440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288462 (or 1288458 counting only the distinct ones).

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

Adding to 1130243222440 its reverse (442223420311), we get a palindrome (1572466642751).

The spelling of 1130243222440 in words is "one trillion, one hundred thirty billion, two hundred forty-three million, two hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 593 740 1186 1480 2372 2965 4744 5930 11860 21941 23720 43882 87764 109705 175528 219410 438820 877640 1287821 2575642 5151284 6439105 10302568 12878210 25756420 47649377 51512840 95298754 190597508 238246885 381195016 476493770 763677853 952987540 1527355706 1905975080 3054711412 3818389265 6109422824 7636778530 15273557060 28256080561 30547114120 56512161122 113024322244 141280402805 226048644488 282560805610 565121611220 1130243222440