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14204413140240 = 24351523222117497
BaseRepresentation
bin1100111010110011100011…
…1111111101110100010000
31212021221001222022101120110
43032230320333331310100
53330211114230441430
650113230050041320
72664143412361461
oct316547077756420
955257058271513
1014204413140240
11458706aa00424
121714ab1279240
137c06166570bb
143716d66c8d68
15199751a047b0
hexceb38ffdd10

14204413140240 has 160 divisors (see below), whose sum is σ = 44084951703936. Its totient is φ = 3783435816960.

The previous prime is 14204413140209. The next prime is 14204413140257. The reversal of 14204413140240 is 4204131440241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14204413140198 and 14204413140207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 811811172 + ... + 811828668.

Almost surely, 214204413140240 is an apocalyptic number.

14204413140240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14204413140240 is an abundant number, since it is smaller than the sum of its proper divisors (29880538563696).

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

14204413140240 is a wasteful number, since it uses less digits than its factorization.

14204413140240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21257 (or 21251 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 14204413140240 its reverse (4204131440241), we get a palindrome (18408544580481).

The spelling of 14204413140240 in words is "fourteen trillion, two hundred four billion, four hundred thirteen million, one hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1523 2221 3046 4442 4569 6092 6663 7615 8884 9138 11105 12184 13326 15230 17497 17768 18276 22210 22845 24368 26652 30460 33315 34994 35536 36552 44420 45690 52491 53304 60920 66630 69988 73104 87485 88840 91380 104982 106608 121840 133260 139976 174970 177680 182760 209964 262455 266520 279952 349940 365520 419928 524910 533040 699880 839856 1049820 1399760 2099640 3382583 4199280 6765166 10147749 13530332 16912915 20295498 26647931 27060664 33825830 38860837 40590996 50738745 53295862 54121328 67651660 77721674 79943793 81181992 101477490 106591724 116582511 133239655 135303320 155443348 159887586 162363984 194304185 202954980 213183448 233165022 266479310 270606640 310886696 319775172 388608370 399718965 405909960 426366896 466330044 532958620 582912555 621773392 639550344 777216740 799437930 811819920 932660088 1065917240 1165825110 1279100688 1554433480 1598875860 1865320176 2131834480 2331650220 3108866960 3197751720 4663300440 6395503440 9326600880 59185054751 118370109502 177555164253 236740219004 295925273755 355110328506 473480438008 591850547510 710220657012 887775821265 946960876016 1183701095020 1420441314024 1775551642530 2367402190040 2840882628048 3551103285060 4734804380080 7102206570120 14204413140240