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14040124101414 = 23241151127998507
BaseRepresentation
bin1100110001001111100010…
…0111000001001100100110
31211201020000101111111101200
43030103320213001030212
53320013133232221124
645505535521503330
72646236235524055
oct314237047011446
954636011444350
1014040124101414
114523424036984
1216a90a11a1b46
137aac939381a8
1436778d30239c
1519533874abc9
hexcc4f89c1326

14040124101414 has 96 divisors (see below), whose sum is σ = 31393443594240. Its totient is φ = 4532064048000.

The previous prime is 14040124101413. The next prime is 14040124101457. The reversal of 14040124101414 is 41410142104041.

14040124101414 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 0 + 1 + 241 + 0 + 1 + 414 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14040124101413) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142479949 + ... + 142578455.

It is an arithmetic number, because the mean of its divisors is an integer number (327015037440).

Almost surely, 214040124101414 is an apocalyptic number.

14040124101414 is an abundant number, since it is smaller than the sum of its proper divisors (17353319492826).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14040124101414 is a wasteful number, since it uses less digits than its factorization.

14040124101414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99986 (or 99983 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 14040124101414 its reverse (41410142104041), we get a palindrome (55450266205455).

The spelling of 14040124101414 in words is "fourteen trillion, forty billion, one hundred twenty-four million, one hundred one thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 41 82 123 151 246 302 369 453 738 906 1279 1359 2558 2718 3837 6191 7674 11511 12382 18573 23022 37146 52439 55719 98507 104878 111438 157317 193129 197014 295521 314634 386258 471951 579387 591042 886563 943902 1158774 1738161 1773126 3476322 4038787 7918289 8077574 12116361 14874557 15836578 23754867 24232722 29749114 36349083 44623671 47509734 71264601 72698166 89247342 125990453 133871013 142529202 251980906 267742026 377971359 609856837 755942718 1133914077 1219713674 1829570511 2267828154 3659141022 5165608573 5488711533 10331217146 10977423066 15496825719 19024558403 30993651438 38049116806 46490477157 57073675209 92980954314 114147350418 171221025627 342442051254 780006894523 1560013789046 2340020683569 4680041367138 7020062050707 14040124101414