Search a number
-
+
1316544040440 = 2332529202762213
BaseRepresentation
bin10011001010001000001…
…000111100110111111000
311122212020012212210012200
4103022020020330313320
5133032240233243230
62444451215510200
7164055121462416
oct23121010746770
94585205783180
101316544040440
11468385874692
121931a3b28360
13971c37b5395
1447a148982b6
15243a6583160
hex1328823cdf8

1316544040440 has 192 divisors, whose sum is σ = 4428566719200. Its totient is φ = 338799584256.

The previous prime is 1316544040423. The next prime is 1316544040459. The reversal of 1316544040440 is 440404456131.

1316544040440 is a `hidden beast` number, since 1 + 31 + 6 + 544 + 0 + 40 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1316544040395 and 1316544040404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21130774 + ... + 21192986.

Almost surely, 21316544040440 is an apocalyptic number.

1316544040440 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 1316544040440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2214283359600).

1316544040440 is an abundant number, since it is smaller than the sum of its proper divisors (3112022678760).

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

1316544040440 is a wasteful number, since it uses less digits than its factorization.

1316544040440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64286 (or 64279 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 1316544040440 its reverse (440404456131), we get a palindrome (1756948496571).

The spelling of 1316544040440 in words is "one trillion, three hundred sixteen billion, five hundred forty-four million, forty thousand, four hundred forty".