14148387078384000
14,148,387,078,384,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 14148387078384000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2048 divisors.
14148387078384000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 14148387078384000:
27 × 3 × 53 × 133 × 293 × 5501
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 13 × 13 × 29 × 29 × 29 × 5501)See below for interesting mathematical facts about the number 14148387078384000 from the Numbermatics database.
Names of 14148387078384000
- Cardinal: 14148387078384000 can be written as Fourteen quadrillion, one hundred forty-eight trillion, three hundred eighty-seven billion, seventy-eight million, three hundred eighty-four thousand.
Scientific notation
- Scientific notation: 1.4148387078384 × 1016
Factors of 14148387078384000
Divisors of 14148387078384000
- Number of divisors d(n): 2048
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 29 30 32 39 40 48 50 52 58 60 64 65 75 78 80 87 96 100 104 116 120 125 128 130 145 150 156 160 169 174 192 195 200 208 232 240 250 260 290 300 312 320 325 338 348 375 377 384 390 400 416 435 464 480 500 507 520 580 600 624 640 650 676 696 725 750 754 780 800 832 841 845 870 928 960 975 1000 1014 1040 1131 1160 1200 1248 1300 1352 1392 1450 1500 1508 1560 1600 1625 1664 1682 1690 1740 1856 1885 1920 1950 2000 2028 2080 2175 2197 2262 2320 2400 2496 2523 2535 2600 2704 2784 2900 3000 3016 3120 3200 3250 3364 3380 3480 3625 3712 3770 3900 4000 4056 4160 4205 4225 4350 4394 4524 4640 4800 4875 4901 4992 5046 5070 5200 5408 5501 5568 5655 5800 6000 6032 6240 6500 6591 6728 6760 6960 7250 7540 7800 8000 8112 8320 8410 8450 8700 8788 9048 9280 9425 9600 9750 9802 10092 10140 10400 10816 10875 10933 10985 11002 11136 11310 11600 12000 12064 12480 12615 12675 13000 13182 13456 13520 13920 14500 14703 15080 15600 16000 16224 16503 16820 16900 17400 17576 18096 18560 18850 19500 19604 20184 20280 20800 21025 21125 21632 21750 21866 21970 22004 22620 23200 24000 24128 24389 24505 24960 25230 25350 26000 26364 26912 27040 27505 27840 28275 29000 29406 30160 31200 32448 32799 32955 33006 33640 33800 34800 35152 36192 37700 39000 39208 40368 40560 41600 42050 42250 43500 43732 43940 44008 45240 46400 47125 48000 48256 48778 49010 50460 50700 52000 52728 53824 54080 54665 54925 55010 55680 56550 58000 58812 60320 62400 63075 63375 63713 64896 65598 65910 66012 67280 67600 69600 70304 71513 72384 73167 73515 75400 78000 78416 80736 81120 82515 84100 84500 87000 87464 87880 88016 90480 92800 94250 97556 98020 100920 101400 104000 105125 105456 107648 108160 109330 109850 110020 113100 116000 117624 120640 121945 122525 124800 126150 126750 127426 131196 131820 132024 134560 135200 137525 139200 140608 141375 142129 143026 144768 146334 147030 150800 156000 156832 159529 161472 162240 163995 164775 165030 168200 169000 174000 174928 175760 176032 180960 188500 191139 195112 196040 201840 202800 208000 210250 210912 214539 218660 219700 220040 226200 232000 235248 241280 243890 245050 252300 253500 254852 262392 263640 264048 269120 270400 273325 274625 275050 278400 281216 282750 284258 286052 292668 294060 301600 312000 313664 315375 317057 318565 319058 322944 324480 327990 329550 330060 336400 338000 348000 349856 351520 352064 357565 361920 365835 367575 377000 382278 390224 392080 403680 405600 412575 420500 421824 426387 429078 437320 439400 440080 452400 464000 470496 478587 487780 490100 504600 507000 509704 524784 527280 528096 538240 540800 546650 549250 550100 565500 568516 572104 585336 588120 603200 609725 612625 624000 627328 630750 634114 637130 638116 655980 659100 660120 672800 676000 687625 696000 699712 703040 704128 710645 715130 723840 731670 735150 754000 764556 780448 784160 797645 807360 811200 819975 823875 825150 841000 843648 852774 858156 874640 878800 880160 904800 929669 940992 951171 955695 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8842741923990 9069478896400 9382219548000 9432258052256 9757508329920 10164071177000 10464783342000 10883374675680 11336848620500 11790322565320 12196885412400 12509626064000 13604218344600 13953044456000 14148387078384 14511166234240 14737903206650 15246106765500 16262513883200 16743653347200 16823290224000 17005272930750 17685483847980 18138957792800 18764439096000 18864516104512 19515016659840 20328142354000 20929566684000 21766749351360 22106854809975 22673697241000 23580645130640 24393770824800 27208436689200 27906088912000 28296774156768 29475806413300 30492213531000 32525027766400 34010545861500 35370967695960 36277915585600 36844758016625 37528878192000 37729032209024 40656284708000 41859133368000 43533498702720 44213709619950 45347394482000 47161290261280 48787541649600 54416873378400 56593548313536 58951612826600 60984427062000 68021091723000 70741935391920 72555831171200 73689516033250 81312569416000 83718266736000 88427419239900 90694788964000 94322580522560 97575083299200 108833746756800 110534274049875 113187096627072 117903225653200 121968854124000 136042183446000 141483870783840 147379032066500 162625138832000 176854838479800 181389577928000 188645161045120 217667493513600 221068548099750 235806451306400 243937708248000 272084366892000 282967741567680 294758064133000 353709676959600 362779155856000 442137096199500 471612902612800 487875416496000 544168733784000 565935483135360 589516128266000 707419353919200 884274192399000 943225805225600 1088337467568000 1179032256532000 1414838707838400 1768548384798000 2358064513064000 2829677415676800 3537096769596000 4716129026128000 7074193539192000 14148387078384000
- Sum of all divisors σ(n): 52632701214912000
- Sum of proper divisors (its aliquot sum) s(n): 38484314136528000
- 14148387078384000 is an abundant number, because the sum of its proper divisors (38484314136528000) is greater than itself. Its abundance is 24335927058144000
Bases of 14148387078384000
- Binary: 1100100100001111100010000100011111001110101001100000002
- Hexadecimal: 0x3243E211F3A980
- Base-36: 3VB6NALXV9C
Squares and roots of 14148387078384000
- 14148387078384000 squared (141483870783840002) is 200176856919783339360051456000000
- 14148387078384000 cubed (141483870783840003) is 2832179655835385394218637611799745327104000000000
-
The
square root of 14148387078384000 is 118946992.7252639709 -
The
cube root of 14148387078384000 is 241862.7450533521
Scales and comparisons
How big is 14148387078384000?- 14,148,387,078,384,000 seconds is equal to 449,874,945 years, 13 weeks, 2 days, 21 hours, 20 minutes.
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To count from 1 to 14,148,387,078,384,000 would take you about one billion, three hundred forty-nine million, six hundred twenty-four thousand, eight hundred thirty-five 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 14148387078384000 cubic inches would be around 20155.2 feet tall.
Recreational maths with 14148387078384000
- 14148387078384000 backwards is 00048387078384141
- The number of decimal digits it has is: 17
- The sum of 14148387078384000's digits is 66
- More coming soon!
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The information we have on file for 14148387078384000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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