Search a number
-
+
13440667416 = 2331128355763
BaseRepresentation
bin11001000010010000…
…00100111100011000
31021200200222122111220
430201020010330120
5210011302324131
610101412052040
7654033534201
oct144110047430
937620878456
1013440667416
1157779a7400
122731304020
131362781857
149170b85a8
15539e99e96
hex321204f18

13440667416 has 96 divisors (see below), whose sum is σ = 37379724480. Its totient is φ = 4023785920.

The previous prime is 13440667403. The next prime is 13440667417. The reversal of 13440667416 is 61476604431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13440667417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213151 + ... + 268913.

It is an arithmetic number, because the mean of its divisors is an integer number (389372130).

Almost surely, 213440667416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13440667416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18689862240).

13440667416 is an abundant number, since it is smaller than the sum of its proper divisors (23939057064).

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

13440667416 is a wasteful number, since it uses less digits than its factorization.

13440667416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55877 (or 55862 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 13440667416 in words is "thirteen billion, four hundred forty million, six hundred sixty-seven thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 83 88 121 132 166 242 249 264 332 363 484 498 664 726 913 968 996 1452 1826 1992 2739 2904 3652 5478 7304 10043 10956 20086 21912 30129 40172 55763 60258 80344 111526 120516 167289 223052 241032 334578 446104 613393 669156 1226786 1338312 1840179 2453572 3680358 4628329 4907144 6747323 7360716 9256658 13494646 13884987 14721432 18513316 20241969 26989292 27769974 37026632 40483938 50911619 53978584 55539948 80967876 101823238 111079896 152734857 161935752 203646476 305469714 407292952 560027809 610939428 1120055618 1221878856 1680083427 2240111236 3360166854 4480222472 6720333708 13440667416