Search a number
-
+
13420333041045 = 357232487496123
BaseRepresentation
bin1100001101001010101000…
…1011110000010110010101
31202111222020002021101221120
43003102222023300112111
53224334320224303140
644313114344234153
72553405235451430
oct303225213602625
952458202241846
1013420333041045
114304593152847
121608b4a46b959
137646bb99a398
14345794804817
151841611851d0
hexc34aa2f0595

13420333041045 has 96 divisors (see below), whose sum is σ = 25706113370112. Its totient is φ = 5856208212096.

The previous prime is 13420333041041. The next prime is 13420333041047. The reversal of 13420333041045 is 54014033302431.

It is not a de Polignac number, because 13420333041045 - 22 = 13420333041041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13420333040997 and 13420333041015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13420333041041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26802354 + ... + 27298476.

It is an arithmetic number, because the mean of its divisors is an integer number (267772014272).

Almost surely, 213420333041045 is an apocalyptic number.

13420333041045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13420333041045 is a deficient number, since it is larger than the sum of its proper divisors (12285780329067).

13420333041045 is a wasteful number, since it uses less digits than its factorization.

13420333041045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496671 (or 496648 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

Adding to 13420333041045 its reverse (54014033302431), we get a palindrome (67434366343476).

The spelling of 13420333041045 in words is "thirteen trillion, four hundred twenty billion, three hundred thirty-three million, forty-one thousand, forty-five".

Divisors: 1 3 5 7 15 21 23 35 69 105 115 161 345 483 487 529 805 1461 1587 2415 2435 2645 3409 3703 7305 7935 10227 11109 11201 17045 18515 33603 51135 55545 56005 78407 168015 235221 257623 392035 496123 772869 1176105 1288115 1488369 1803361 2480615 3472861 3864345 5410083 7441845 9016805 10418583 11410829 17364305 27050415 34232487 52092915 57054145 79875803 171162435 239627409 241611901 262449067 399379015 724835703 787347201 1198137045 1208059505 1312245335 1691283307 1837143469 3624178515 3936736005 5073849921 5511430407 5557073723 8456416535 9185717345 16671221169 25369249605 27557152035 27785368615 38899516061 83356105845 116698548183 127812695629 194497580305 383438086887 583492740915 639063478145 894688869403 1917190434435 2684066608209 4473444347015 13420333041045