Search a number
-
+
13440805168 = 2471575931289
BaseRepresentation
bin11001000010010001…
…00110100100110000
31021200201020122110211
430201020212210300
5210011321231133
610101415033504
7654034646620
oct144110464460
937621218424
1013440805168
115777a9094a
12273136b894
1313627cc46b
14917112880
15539ec5bcd
hex321226930

13440805168 has 80 divisors (see below), whose sum is σ = 30025131840. Its totient is φ = 5709570048.

The previous prime is 13440805139. The next prime is 13440805199. The reversal of 13440805168 is 86150804431.

It is a self number, because there is not a number n which added to its sum of digits gives 13440805168.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10426668 + ... + 10427956.

It is an arithmetic number, because the mean of its divisors is an integer number (375314148).

Almost surely, 213440805168 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 13440805168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15012565920).

13440805168 is an abundant number, since it is smaller than the sum of its proper divisors (16584326672).

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

13440805168 is a wasteful number, since it uses less digits than its factorization.

13440805168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2054 (or 2048 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The spelling of 13440805168 in words is "thirteen billion, four hundred forty million, eight hundred five thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 157 314 593 628 1099 1186 1256 1289 2198 2372 2512 2578 4151 4396 4744 5156 8302 8792 9023 9488 10312 16604 17584 18046 20624 33208 36092 66416 72184 93101 144368 186202 202373 372404 404746 651707 744808 764377 809492 1303414 1416611 1489616 1528754 1618984 2606828 2833222 3057508 3237968 5213656 5350639 5666444 6115016 10427312 10701278 11332888 12230032 21402556 22665776 42805112 85610224 120007189 240014378 480028756 840050323 960057512 1680100646 1920115024 3360201292 6720402584 13440805168