Search a number
-
+
13343020414304 = 257111753327713
BaseRepresentation
bin1100001000101010100111…
…1111011111010101100000
31202020120200000221001000112
43002022221333133111200
53222103001211224204
644213410550310452
72545000325123330
oct302125177372540
952216600831015
1013343020414304
11428481a198aa9
1215b5b72658428
1375a31a54a979
14341b3c9330c0
15182138aa526e
hexc22a9fdf560

13343020414304 has 48 divisors (see below), whose sum is σ = 30048673663008. Its totient is φ = 5713317752832.

The previous prime is 13343020414237. The next prime is 13343020414429. The reversal of 13343020414304 is 40341402034331.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26413649 + ... + 26914064.

It is an arithmetic number, because the mean of its divisors is an integer number (626014034646).

Almost surely, 213343020414304 is an apocalyptic number.

13343020414304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13343020414304 is an abundant number, since it is smaller than the sum of its proper divisors (16705653248704).

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

13343020414304 is a wasteful number, since it uses less digits than its factorization.

13343020414304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53328847 (or 53328839 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 13343020414304 its reverse (40341402034331), we get a palindrome (53684422448635).

The spelling of 13343020414304 in words is "thirteen trillion, three hundred forty-three billion, twenty million, four hundred fourteen thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 1117 2234 4468 7819 8936 15638 17872 31276 35744 62552 125104 250208 53327713 106655426 213310852 373293991 426621704 746587982 853243408 1493175964 1706486816 2986351928 5972703856 11945407712 59567055421 119134110842 238268221684 416969387947 476536443368 833938775894 953072886736 1667877551788 1906145773472 3335755103576 6671510207152 13343020414304