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14053100544405 = 3251329828358417
BaseRepresentation
bin1100110001111111111000…
…0100001110000110010101
31211202110111201222002201100
43030133332010032012111
53320221222214410110
645515523312020313
72650205634466266
oct314377604160625
954673451862640
1014053100544405
11452898299162a
1216ab702b31699
137ac28117c720
1436826089896d
15195847a97bc0
hexcc7fe10e195

14053100544405 has 48 divisors (see below), whose sum is σ = 27137021773680. Its totient is φ = 6679882266624.

The previous prime is 14053100544397. The next prime is 14053100544437. The reversal of 14053100544405 is 50444500135041.

14053100544405 is a `hidden beast` number, since 1 + 4 + 0 + 5 + 3 + 100 + 544 + 4 + 0 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1855746858564 + 12197353685841 = 1362258^2 + 3492471^2 .

It is not a de Polignac number, because 14053100544405 - 23 = 14053100544397 is a prime.

It is a super-2 number, since 2×140531005444052 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 14053100544405.

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, 414162244 + ... + 414196173.

It is an arithmetic number, because the mean of its divisors is an integer number (565354620285).

Almost surely, 214053100544405 is an apocalyptic number.

14053100544405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14053100544405 is a deficient number, since it is larger than the sum of its proper divisors (13083921229275).

14053100544405 is a wasteful number, since it uses less digits than its factorization.

14053100544405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828358470 (or 828358467 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 14053100544405 its reverse (50444500135041), we get a palindrome (64497600679446).

The spelling of 14053100544405 in words is "fourteen trillion, fifty-three billion, one hundred million, five hundred forty-four thousand, four hundred five".

Divisors: 1 3 5 9 13 15 29 39 45 65 87 117 145 195 261 377 435 585 1131 1305 1885 3393 5655 16965 828358417 2485075251 4141792085 7455225753 10768659421 12425376255 24022394093 32305978263 37276128765 53843297105 72067182279 96917934789 120111970465 161529891315 216201546837 312291123209 360335911395 484589673945 936873369627 1081007734185 1561455616045 2810620108881 4684366848135 14053100544405