Search a number
-
+
13430504121405 = 357235351764291
BaseRepresentation
bin1100001101110000100001…
…1011010110010000111101
31202112221110220221211012120
43003130020123112100331
53230021133023341110
644321515521553153
72554215261302100
oct303341033262075
952487426854176
1013430504121405
114308932497a88
12160ab087a57b9
1376564cc57827
1434607b57c737
15184559088870
hexc37086d643d

13430504121405 has 48 divisors (see below), whose sum is σ = 25067997215424. Its totient is φ = 6122266106880.

The previous prime is 13430504121403. The next prime is 13430504121421. The reversal of 13430504121405 is 50412140503431.

It is not a de Polignac number, because 13430504121405 - 21 = 13430504121403 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13430504121401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25622691 + ... + 26141600.

It is an arithmetic number, because the mean of its divisors is an integer number (522249941988).

Almost surely, 213430504121405 is an apocalyptic number.

13430504121405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13430504121405 is a deficient number, since it is larger than the sum of its proper divisors (11637493094019).

13430504121405 is a wasteful number, since it uses less digits than its factorization.

13430504121405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51764666 (or 51764659 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

Adding to 13430504121405 its reverse (50412140503431), we get a palindrome (63842644624836).

The spelling of 13430504121405 in words is "thirteen trillion, four hundred thirty billion, five hundred four million, one hundred twenty-one thousand, four hundred five".

Divisors: 1 3 5 7 15 21 35 49 105 147 245 353 735 1059 1765 2471 5295 7413 12355 17297 37065 51891 86485 259455 51764291 155292873 258821455 362350037 776464365 1087050111 1811750185 2536450259 5435250555 7609350777 12682251295 18272794723 38046753885 54818384169 91363973615 127909563061 274091920845 383728689183 639547815305 895366941427 1918643445915 2686100824281 4476834707135 13430504121405