Search a number
-
+
13441330320 = 2435115091413
BaseRepresentation
bin11001000010010101…
…00110110010010000
31021200202020022211220
430201022212302100
5210011440032240
610101434205040
7654042264645
oct144112466220
937622208756
1013441330320
11577830a460
122731583780
1313629544c2
1491720bdcc
1553a07b5d0
hex3212a6c90

13441330320 has 80 divisors (see below), whose sum is σ = 45456144192. Its totient is φ = 3258503680.

The previous prime is 13441330271. The next prime is 13441330373. The reversal of 13441330320 is 2303314431.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2543067 + ... + 2548346.

Almost surely, 213441330320 is an apocalyptic number.

13441330320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13441330320 is an abundant number, since it is smaller than the sum of its proper divisors (32014813872).

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

13441330320 is a wasteful number, since it uses less digits than its factorization.

13441330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5091440 (or 5091434 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 13441330320 its reverse (2303314431), we get a palindrome (15744644751).

The spelling of 13441330320 in words is "thirteen billion, four hundred forty-one million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 5091413 10182826 15274239 20365652 25457065 30548478 40731304 50914130 56005543 61096956 76371195 81462608 101828260 112011086 122193912 152742390 168016629 203656520 224022172 244387824 280027715 305484780 336033258 407313040 448044344 560055430 610969560 672066516 840083145 896088688 1120110860 1221939120 1344133032 1680166290 2240221720 2688266064 3360332580 4480443440 6720665160 13441330320