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14354120314053 = 32133110493772711
BaseRepresentation
bin1101000011100001010000…
…1111100000110011000101
31212211020111022202210102200
43100320110033200303011
53340134214300022203
650310105234225113
73011023324352202
oct320702417406305
955736438683380
1014354120314053
114634603784963
121739b11a25199
1380178434ab10
14378a59212ca9
1519d5b4a409a3
hexd0e143e0cc5

14354120314053 has 48 divisors (see below), whose sum is σ = 23070888422400. Its totient is φ = 8540208172800.

The previous prime is 14354120314043. The next prime is 14354120314063. The reversal of 14354120314053 is 35041302145341.

14354120314053 is a `hidden beast` number, since 1 + 4 + 3 + 5 + 41 + 203 + 1 + 405 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (14354120314043) and next prime (14354120314063).

It is not a de Polignac number, because 14354120314053 - 214 = 14354120297669 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14354120313999 and 14354120314017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14354120314043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1918368 + ... + 5691078.

It is an arithmetic number, because the mean of its divisors is an integer number (480643508800).

Almost surely, 214354120314053 is an apocalyptic number.

14354120314053 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

14354120314053 is a deficient number, since it is larger than the sum of its proper divisors (8716768108347).

14354120314053 is a wasteful number, since it uses less digits than its factorization.

14354120314053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3773810 (or 3773807 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 14354120314053 its reverse (35041302145341), we get a palindrome (49395422459394).

The spelling of 14354120314053 in words is "fourteen trillion, three hundred fifty-four billion, one hundred twenty million, three hundred fourteen thousand, fifty-three".

Divisors: 1 3 9 13 31 39 93 117 279 403 1049 1209 3147 3627 9441 13637 32519 40911 97557 122733 292671 422747 1268241 3772711 3804723 11318133 33954399 49045243 116954041 147135729 350862123 441407187 1052586369 1520402533 3957573839 4561207599 11872721517 13683622797 35618164551 51448459907 122684789009 154345379721 368054367027 463036139163 1104163101081 1594902257117 4784706771351 14354120314053