13874743189434960
13,874,743,189,434,960 is an even composite number composed of six prime numbers multiplied together.
What does the number 13874743189434960 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 320 divisors.
13874743189434960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 13874743189434960:
24 × 33 × 5 × 7 × 337097 × 2722189
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 337097 × 2722189)See below for interesting mathematical facts about the number 13874743189434960 from the Numbermatics database.
Names of 13874743189434960
- Cardinal: 13874743189434960 can be written as Thirteen quadrillion, eight hundred seventy-four trillion, seven hundred forty-three billion, one hundred eighty-nine million, four hundred thirty-four thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.387474318943496 × 1016
Factors of 13874743189434960
Divisors of 13874743189434960
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 3024 3780 5040 7560 15120 337097 674194 1011291 1348388 1685485 2022582 2359679 2696776 2722189 3033873 3370970 4045164 4719358 5056455 5393552 5444378 6067746 6741940 7079037 8090328 8166567 9101619 9438716 10112910 10888756 11798395 12135492 13483880 13610945 14158074 15169365 16180656 16333134 18203238 18877432 19055323 20225820 21237111 21777512 23596790 24270984 24499701 26967760 27221890 28316148 30338730 32666268 35395185 36406476 37754864 38110646 40451640 40832835 42474222 43555024 45508095 47193580 48541968 48999402 54443780 56632296 57165969 60677460 63711333 65332536 70790370 72812952 73499103 76221292 80903280 81665670 84948444 91016190 94387160 95276615 97998804 106185555 108887560 113264592 114331938 121354920 122498505 127422666 130665072 141580740 145625904 146998206 152442584 163331340 169896888 171497907 182032380 188774320 190553230 195997608 212371110 217775120 228663876 242709840 244997010 254845332 283161480 285829845 293996412 304885168 318556665 326662680 339793776 342995814 364064760 367495515 381106460 391995216 424742220 457327752 489994020 509690664 514493721 566322960 571659690 587992824 637113330 653325360 685991628 728129520 734991030 762212920 849484440 857489535 914655504 979988040 1019381328 1028987442 1143319380 1175985648 1274226660 1371983256 1469982060 1524425840 1698968880 1714979070 1959976080 2057974884 2286638760 2548453320 2572468605 2743966512 2939964120 3429958140 4115949768 4573277520 5096906640 5144937210 5879928240 6859916280 8231899536 10289874420 13719832560 20579748840 41159497680 917641745333 1835283490666 2752925235999 3670566981332 4588208726665 5505850471998 6423492217331 7341133962664 8258775707997 9176417453330 11011700943996 12846984434662 13764626179995 14682267925328 16517551415994 18352834906660 19270476651993 22023401887992 24776327123991 25693968869324 27529252359990 32117461086655 33035102831988 36705669813320 38540953303986 41293878539985 44046803775984 49552654247982 51387937738648 55058504719980 57811429955979 64234922173310 66070205663976 73411339626640 77081906607972 82587757079970 96352383259965 99105308495964 102775875477296 110117009439960 115622859911958 123881635619955 128469844346620 132140411327952 154163813215944 165175514159940 173434289867937 192704766519930 198210616991928 220234018879920 231245719823916 247763271239910 256939688693240 289057149779895 308327626431888 330351028319880 346868579735874 385409533039860 396421233983856 462491439647832 495526542479820 513879377386480 578114299559790 660702056639760 693737159471748 770819066079720 867171449339685 924982879295664 991053084959640 1156228599119580 1387474318943496 1541638132159440 1734342898679370 1982106169919280 2312457198239160 2774948637886992 3468685797358740 4624914396478320 6937371594717480 13874743189434960
- Sum of all divisors σ(n): 54618218770982400
- Sum of proper divisors (its aliquot sum) s(n): 40743475581547440
- 13874743189434960 is an abundant number, because the sum of its proper divisors (40743475581547440) is greater than itself. Its abundance is 26868732392112480
Bases of 13874743189434960
- Binary: 1100010100101100000001011000110010011111110010010100002
- Hexadecimal: 0x314B016327F250
- Base-36: 3SM6P0ZQIC0
Squares and roots of 13874743189434960
- 13874743189434960 squared (138747431894349602) is 192508498572771806316164070201600
- 13874743189434960 cubed (138747431894349603) is 2671005979480915337075637438511446180877287936000
-
The
square root of 13874743189434960 is 117791099.7887147669 -
The
cube root of 13874743189434960 is 240293.2941478947
Scales and comparisons
How big is 13874743189434960?- 13,874,743,189,434,960 seconds is equal to 441,173,916 years, 1 week, 2 days, 6 hours, 36 minutes.
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To count from 1 to 13,874,743,189,434,960 would take you about one billion, three hundred twenty-three million, five hundred twenty-one thousand, seven hundred forty-eight years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 13874743189434960 cubic inches would be around 20024.4 feet tall.
Recreational maths with 13874743189434960
- 13874743189434960 backwards is 06943498134747831
- The number of decimal digits it has is: 17
- The sum of 13874743189434960's digits is 81
- More coming soon!
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