Search a number
-
+
13344223441120 = 2551113583226549
BaseRepresentation
bin1100001000101111000110…
…1100101011000011100000
31202020200202212122010120021
43002023301230223003200
53222112432200103440
644214130203323224
72545042203516205
oct302136154530340
952220685563507
1013344223441120
114285287281940
1215b6249520514
1375a47c861a60
14341c1460dcac
151821a94dc84a
hexc22f1b2b0e0

13344223441120 has 96 divisors (see below), whose sum is σ = 37037218831200. Its totient is φ = 4479179888640.

The previous prime is 13344223441061. The next prime is 13344223441123. The reversal of 13344223441120 is 2114432244331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13344223441123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 291590395 + ... + 291636154.

It is an arithmetic number, because the mean of its divisors is an integer number (385804362825).

Almost surely, 213344223441120 is an apocalyptic number.

13344223441120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13344223441120 is an abundant number, since it is smaller than the sum of its proper divisors (23692995390080).

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

13344223441120 is a wasteful number, since it uses less digits than its factorization.

13344223441120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583226588 (or 583226580 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 13344223441120 its reverse (2114432244331), we get a palindrome (15458655685451).

The spelling of 13344223441120 in words is "thirteen trillion, three hundred forty-four billion, two hundred twenty-three million, four hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 65 80 88 104 110 130 143 160 176 208 220 260 286 352 416 440 520 572 715 880 1040 1144 1430 1760 2080 2288 2860 4576 5720 11440 22880 583226549 1166453098 2332906196 2916132745 4665812392 5832265490 6415492039 7581945137 9331624784 11664530980 12830984078 15163890274 18663249568 23329061960 25661968156 30327780548 32077460195 37909725685 46658123920 51323936312 60655561096 64154920390 75819451370 83401396507 93316247840 102647872624 121311122192 128309840780 151638902740 166802793014 205295745248 242622244384 256619681560 303277805480 333605586028 417006982535 513239363120 606555610960 667211172056 834013965070 1026478726240 1213111221920 1334422344112 1668027930140 2668844688224 3336055860280 6672111720560 13344223441120