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14534310240513 = 3272734091103849
BaseRepresentation
bin1101001110000000100001…
…1001100010000100000001
31220110110121001220110210200
43103200020121202010001
53401112231410144023
650524545301515413
73030032520432600
oct323401031420401
956413531813720
1014534310240513
1146a3a6a249658
121768a1b112b69
1381576c43048b
1438367032ba37
151a310dc63743
hexd3808662101

14534310240513 has 72 divisors (see below), whose sum is σ = 24816689469000. Its totient is φ = 8171512989696.

The previous prime is 14534310240509. The next prime is 14534310240551. The reversal of 14534310240513 is 31504201343541.

14534310240513 is a `hidden beast` number, since 1 + 4 + 5 + 34 + 3 + 102 + 4 + 0 + 513 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4409294428224 + 10125015812289 = 2099832^2 + 3181983^2 .

It is not a de Polignac number, because 14534310240513 - 22 = 14534310240509 is a prime.

It is a super-2 number, since 2×145343102405132 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (14534310240503) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12615013 + ... + 13718861.

It is an arithmetic number, because the mean of its divisors is an integer number (344676242625).

Almost surely, 214534310240513 is an apocalyptic number.

It is an amenable number.

14534310240513 is a deficient number, since it is larger than the sum of its proper divisors (10282379228487).

14534310240513 is a wasteful number, since it uses less digits than its factorization.

14534310240513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104351 (or 1104341 counting only the distinct ones).

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

The spelling of 14534310240513 in words is "fourteen trillion, five hundred thirty-four billion, three hundred ten million, two hundred forty thousand, five hundred thirteen".

Divisors: 1 3 7 9 21 49 63 73 147 219 409 441 511 657 1227 1533 2863 3577 3681 4599 8589 10731 20041 25767 29857 32193 60123 89571 180369 208999 268713 626997 1103849 1462993 1880991 3311547 4388979 7726943 9934641 13166937 23180829 54088601 69542487 80580977 162265803 241742931 451474241 486797409 564066839 725228793 1354422723 1692200517 3160319687 3948467873 4063268169 5076601551 9480959061 11845403619 22122237809 28442877183 32957619593 35536210857 66366713427 98872858779 199100140281 230703337151 296618576337 692110011453 1614923360057 2076330034359 4844770080171 14534310240513