Search a number
-
+
13405305141045 = 3251791854189759
BaseRepresentation
bin1100001100010010101001…
…1100110111011100110101
31202110112102202121222122200
43003010222130313130311
53224113031104003140
644302151232215113
72552333646431046
oct303045234673465
952415382558580
1013405305141045
1142a9181305084
12160605569a499
1376316543316c
14344b6a9da8cd
15183a81bae030
hexc312a737735

13405305141045 has 48 divisors (see below), whose sum is σ = 23367192076800. Its totient is φ = 7109092103040.

The previous prime is 13405305140999. The next prime is 13405305141133. The reversal of 13405305141045 is 54014150350431.

13405305141045 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 5 + 30 + 514 + 104 + 5 = 666.

It is not a de Polignac number, because 13405305141045 - 210 = 13405305140021 is a prime.

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 47 ways as a sum of consecutive naturals, for example, 149302876 + ... + 149392634.

It is an arithmetic number, because the mean of its divisors is an integer number (486816501600).

Almost surely, 213405305141045 is an apocalyptic number.

13405305141045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13405305141045 is a deficient number, since it is larger than the sum of its proper divisors (9961886935755).

13405305141045 is a wasteful number, since it uses less digits than its factorization.

13405305141045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108490 (or 108487 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 13405305141045 its reverse (54014150350431), we get a palindrome (67419455491476).

The spelling of 13405305141045 in words is "thirteen trillion, four hundred five billion, three hundred five million, one hundred forty-one thousand, forty-five".

Divisors: 1 3 5 9 15 45 179 537 895 1611 2685 8055 18541 55623 89759 92705 166869 269277 278115 448795 807831 834345 1346385 3318839 4039155 9956517 16066861 16594195 29869551 48200583 49782585 80334305 144601749 149347755 241002915 723008745 1664221619 4992664857 8321108095 14977994571 24963324285 74889972855 297895669801 893687009403 1489478349005 2681061028209 4468435047015 13405305141045