Search a number
-
+
13423402205344 = 25173591447151
BaseRepresentation
bin1100001101010110000100…
…0111101100000010100000
31202112021010222110002212101
43003111201013230002200
53224412111431032334
644314343103140144
72553544264100335
oct303254107540240
952467128402771
1013423402205344
11430591866336a
1216096662a4654
13764a8a7b9c31
143459a629298c
1518429083c214
hexc35611ec0a0

13423402205344 has 96 divisors (see below), whose sum is σ = 28554624403200. Its totient is φ = 6209824844800.

The previous prime is 13423402205329. The next prime is 13423402205351. The reversal of 13423402205344 is 44350220432431.

It is a happy number.

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, 8552169 + ... + 9999319.

It is an arithmetic number, because the mean of its divisors is an integer number (297444004200).

Almost surely, 213423402205344 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 13423402205344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14277312201600).

13423402205344 is an abundant number, since it is smaller than the sum of its proper divisors (15131222197856).

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

13423402205344 is an equidigital number, since it uses as much as digits as its factorization.

13423402205344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447271 (or 1447229 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 37.

Adding to 13423402205344 its reverse (44350220432431), we get a palindrome (57773622637775).

The spelling of 13423402205344 in words is "thirteen trillion, four hundred twenty-three billion, four hundred two million, two hundred five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 59 68 118 136 236 272 289 472 544 578 944 1003 1156 1888 2006 2312 4012 4624 4913 8024 9248 9826 16048 17051 19652 32096 34102 39304 68204 78608 136408 157216 272816 289867 545632 579734 1159468 1447151 2318936 2894302 4637872 5788604 9275744 11577208 23154416 24601567 46308832 49203134 85381909 98406268 170763818 196812536 341527636 393625072 418226639 683055272 787250144 836453278 1366110544 1451492453 1672906556 2732221088 2902984906 3345813112 5805969812 6691626224 7109852863 11611939624 13383252448 14219705726 23223879248 24675371701 28439411452 46447758496 49350743402 56878822904 98701486804 113757645808 197402973608 227515291616 394805947216 419481318917 789611894432 838962637834 1677925275668 3355850551336 6711701102672 13423402205344