Search a number
-
+
1313422244240 = 245109150621817
BaseRepresentation
bin10011000111001110000…
…100001111100110010000
311122120011122200002220012
4103013032010033212100
5133004342043303430
62443213340534052
7163614553604651
oct23071604174620
94576148602805
101313422244240
11467023685a27
12192672551328
1396b16ac84b2
14477da029528
1524272481695
hex131ce10f990

1313422244240 has 40 divisors (see below), whose sum is σ = 3081722396280. Its totient is φ = 520548996096.

The previous prime is 1313422244219. The next prime is 1313422244243. The reversal of 1313422244240 is 424422243131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 319197880576 + 994224363664 = 564976^2 + 997108^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 1313422244197 and 1313422244206.

It is not an unprimeable number, because it can be changed into a prime (1313422244243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75302189 + ... + 75319628.

It is an arithmetic number, because the mean of its divisors is an integer number (77043059907).

Almost surely, 21313422244240 is an apocalyptic number.

1313422244240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313422244240 is an abundant number, since it is smaller than the sum of its proper divisors (1768300152040).

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

1313422244240 is a wasteful number, since it uses less digits than its factorization.

1313422244240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150621939 (or 150621933 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 1313422244240 its reverse (424422243131), we get a palindrome (1737844487371).

The spelling of 1313422244240 in words is "one trillion, three hundred thirteen billion, four hundred twenty-two million, two hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 109 218 436 545 872 1090 1744 2180 4360 8720 150621817 301243634 602487268 753109085 1204974536 1506218170 2409949072 3012436340 6024872680 12049745360 16417778053 32835556106 65671112212 82088890265 131342224424 164177780530 262684448848 328355561060 656711122120 1313422244240