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54134322343145 = 5112109381864793
BaseRepresentation
bin11000100111100001000010…
…00011011010110011101001
321002200012011000000222210222
430103300201003122303221
524043414043004440040
6311044544145215425
714255034654463142
oct1423604103326351
9232605130028728
1054134322343145
1116281267758200
1260a3717031575
132428ac9a36515
14d521880b4ac9
1563d258177bb5
hex313c210dace9

54134322343145 has 24 divisors (see below), whose sum is σ = 71468947539528. Its totient is φ = 39334395260160.

The previous prime is 54134322343141. The next prime is 54134322343151.

54134322343145 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 6782748305641 + 47351574037504 = 2604371^2 + 6881248^2 .

It is not a de Polignac number, because 54134322343145 - 22 = 54134322343141 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 54134322343096 and 54134322343105.

It is not an unprimeable number, because it can be changed into a prime (54134322343141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40271132 + ... + 41593661.

It is an arithmetic number, because the mean of its divisors is an integer number (2977872814147).

Almost surely, 254134322343145 is an apocalyptic number.

54134322343145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54134322343145 is a deficient number, since it is larger than the sum of its proper divisors (17334625196383).

54134322343145 is a wasteful number, since it uses less digits than its factorization.

54134322343145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81865913 (or 81865902 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 44.

It can be divided in two parts, 5413432 and 2343145, that added together give a palindrome (7756577).

The spelling of 54134322343145 in words is "fifty-four trillion, one hundred thirty-four billion, three hundred twenty-two million, three hundred forty-three thousand, one hundred forty-five".

Divisors: 1 5 11 55 121 605 1093 5465 12023 60115 132253 661265 81864793 409323965 900512723 4502563615 9905639953 49528199765 89478218749 447391093745 984260406239 4921302031195 10826864468629 54134322343145