Search a number
-
+
1310422300440 = 23351119162132233
BaseRepresentation
bin10011000100011011010…
…000010111011100011000
311122021102120202011122120
4103010123100113130120
5132432221102103230
62441555533421240
7163450325525061
oct23043320273430
94567376664576
101310422300440
11465824253830
12191b7593a820
1396759433716
14475d3839568
1524148dee310
hex1311b417718

1310422300440 has 256 divisors, whose sum is σ = 4517298547200. Its totient is φ = 300763238400.

The previous prime is 1310422300337. The next prime is 1310422300469. The reversal of 1310422300440 is 440032240131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1310422300440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40638564 + ... + 40670796.

It is an arithmetic number, because the mean of its divisors is an integer number (17645697450).

Almost surely, 21310422300440 is an apocalyptic number.

1310422300440 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 1310422300440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2258649273600).

1310422300440 is an abundant number, since it is smaller than the sum of its proper divisors (3206876246760).

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

1310422300440 is a wasteful number, since it uses less digits than its factorization.

1310422300440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33898 (or 33894 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1310422300440 its reverse (440032240131), we get a palindrome (1750454540571).

The spelling of 1310422300440 in words is "one trillion, three hundred ten billion, four hundred twenty-two million, three hundred thousand, four hundred forty".