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14234032441040 = 2451939312382217
BaseRepresentation
bin1100111100100001111001…
…1100101000011011010000
31212101202112012020202211012
43033020132130220123100
53331202244301103130
650135005122310052
72666242410313226
oct317103634503320
955352465222735
1014234032441040
11459868a261515
12171a7987b8328
137c3356ba79a9
14372d06354b16
1519a3d6ecd995
hexcf21e7286d0

14234032441040 has 80 divisors (see below), whose sum is σ = 34844797974720. Its totient is φ = 5392574714880.

The previous prime is 14234032441033. The next prime is 14234032441061. The reversal of 14234032441040 is 4014423043241.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×142340324410403 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14234032440988 and 14234032441006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4784012 + ... + 7166228.

It is an arithmetic number, because the mean of its divisors is an integer number (435559974684).

Almost surely, 214234032441040 is an apocalyptic number.

14234032441040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14234032441040 is an abundant number, since it is smaller than the sum of its proper divisors (20610765533680).

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

14234032441040 is a wasteful number, since it uses less digits than its factorization.

14234032441040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2386180 (or 2386174 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 14234032441040 its reverse (4014423043241), we get a palindrome (18248455484281).

The spelling of 14234032441040 in words is "fourteen trillion, two hundred thirty-four billion, thirty-two million, four hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 3931 7862 15724 19655 31448 39310 62896 74689 78620 149378 157240 298756 314480 373445 597512 746890 1195024 1493780 2382217 2987560 4764434 5975120 9528868 11911085 19057736 23822170 38115472 45262123 47644340 90524246 95288680 181048492 190577360 226310615 362096984 452621230 724193968 905242460 1810484920 3620969840 9364495027 18728990054 37457980108 46822475135 74915960216 93644950270 149831920432 177925405513 187289900540 355850811026 374579801080 711701622052 749159602160 889627027565 1423403244104 1779254055130 2846806488208 3558508110260 7117016220520 14234032441040