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13354542344 = 23111344925999
BaseRepresentation
bin11000110111111111…
…00010010100001000
31021110200221001010102
430123333202110020
5204322230323334
610045054104532
7651636510533
oct143377422410
937420831112
1013354542344
115733322360
1227084ab148
13134a988580
14909899a1a
1553263667e
hex31bfe2508

13354542344 has 64 divisors (see below), whose sum is σ = 29484000000. Its totient is φ = 5590609920.

The previous prime is 13354542329. The next prime is 13354542373. The reversal of 13354542344 is 44324545331.

13354542344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13354542298 and 13354542307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 500657 + ... + 526655.

It is an arithmetic number, because the mean of its divisors is an integer number (460687500).

Almost surely, 213354542344 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 13354542344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14742000000).

13354542344 is an abundant number, since it is smaller than the sum of its proper divisors (16129457656).

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

13354542344 is a wasteful number, since it uses less digits than its factorization.

13354542344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26478 (or 26474 counting only the distinct ones).

The product of its digits is 345600, while the sum is 38.

The spelling of 13354542344 in words is "thirteen billion, three hundred fifty-four million, five hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 449 572 898 1144 1796 3592 4939 5837 9878 11674 19756 23348 25999 39512 46696 51998 64207 103996 128414 207992 256828 285989 337987 513656 571978 675974 1143956 1351948 2287912 2703896 3717857 7435714 11673551 14871428 23347102 29742856 46694204 93388408 128409061 151756163 256818122 303512326 513636244 607024652 1027272488 1214049304 1669317793 3338635586 6677271172 13354542344