13827878131306937472
13,827,878,131,306,937,472 is an even composite number composed of six prime numbers multiplied together.
What does the number 13827878131306937472 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1152 divisors.
13827878131306937472 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 13827878131306937472:
27 × 33 × 172 × 53 × 79 × 575032
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 17 × 17 × 53 × 79 × 57503 × 57503)See below for interesting mathematical facts about the number 13827878131306937472 from the Numbermatics database.
Names of 13827878131306937472
- Cardinal: 13827878131306937472 can be written as Thirteen quintillion, eight hundred twenty-seven quadrillion, eight hundred seventy-eight trillion, one hundred thirty-one billion, three hundred six million, nine hundred thirty-seven thousand, four hundred seventy-two.
Scientific notation
- Scientific notation: 1.3827878131306937472 × 1019
Factors of 13827878131306937472
Divisors of 13827878131306937472
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 53 54 64 68 72 79 96 102 106 108 128 136 144 153 158 159 192 204 212 216 237 272 288 289 306 316 318 384 408 424 432 459 474 477 544 576 578 612 632 636 711 816 848 864 867 901 918 948 954 1088 1152 1156 1224 1264 1272 1343 1422 1431 1632 1696 1728 1734 1802 1836 1896 1908 2133 2176 2312 2448 2528 2544 2601 2686 2703 2844 2862 3264 3392 3456 3468 3604 3672 3792 3816 4029 4187 4266 4624 4896 5056 5088 5202 5372 5406 5688 5724 6528 6784 6936 7208 7344 7584 7632 7803 8058 8109 8374 8532 9248 9792 10112 10176 10404 10744 10812 11376 11448 12087 12561 13872 14416 14688 15168 15264 15317 15606 16116 16218 16748 17064 18496 19584 20352 20808 21488 21624 22752 22831 22896 24174 24327 25122 27744 28832 29376 30336 30528 30634 31212 32232 32436 33496 34128 36261 36992 37683 41616 42976 43248 45504 45662 45792 45951 48348 48654 50244 55488 57503 57664 58752 61056 61268 62424 64464 64872 66992 68256 68493 71179 72522 75366 83232 85952 86496 91008 91324 91584 91902 96696 97308 100488 110976 113049 115006 115328 122536 124848 128928 129744 133984 136512 136986 137853 142358 145044 150732 166464 171904 172509 172992 182648 183168 183804 193392 194616 200976 205479 213537 226098 230012 245072 249696 257856 259488 267968 273024 273972 275706 284716 290088 301464 332928 345018 345984 365296 367608 386784 389232 401952 410958 413559 427074 452196 460024 490144 499392 515712 517527 518976 535936 547944 551412 569432 580176 602928 616437 640611 690036 730592 735216 773568 778464 803904 821916 827118 854148 904392 920048 977551 980288 998784 1035054 1037952 1095888 1102824 1138864 1160352 1205856 1210043 1232874 1281222 1380072 1461184 1470432 1547136 1552581 1556928 1607808 1643832 1654236 1708296 1808784 1840096 1921833 1955102 1960576 2070108 2191776 2205648 2277728 2320704 2411712 2420086 2465748 2562444 2760144 2922368 2932653 2940864 3047659 3105162 3113856 3287664 3308472 3416592 3617568 3630129 3680192 3843666 3910204 4140216 4383552 4411296 4542737 4555456 4641408 4823424 4840172 4931496 5124888 5520288 5865306 5881728 6095318 6210324 6575328 6616944 6833184 7235136 7260258 7360384 7687332 7820408 8280432 8767104 8797959 8822592 9085474 9110912 9142977 9680344 9862992 10249776 10890387 11040576 11730612 12190636 12420648 13150656 13233888 13628211 13666368 14470272 14520516 15374664 15640816 16560864 16618367 17595918 17645184 18170948 18285954 19360688 19725984 20499552 21780774 22081152 23461224 24381272 24841296 26301312 26393877 26467776 27256422 27332736 27428931 29041032 30749328 31281632 32671161 33121728 33236734 35191836 36341896 36571908 38721376 39451968 40884633 40999104 43561548 46922448 48762544 49682592 49855101 51810203 52787754 52935552 54512844 54857862 58082064 61498656 62563264 65342322 66243456 66473468 70383672 72683792 73143816 77226529 77442752 78903936 81769266 81998208 82286793 87123096 93844896 97525088 99365184 99710202 103620406 105575508 109025688 109715724 116164128 122653899 122997312 125126528 130684644 132946936 140767344 145367584 146287632 149565303 154453058 154885504 155430609 163538532 164573586 174246192 187689792 195050176 198730368 199420404 207240812 211151016 218051376 219431448 231679587 232328256 240765061 245307798 245994624 261369288 265893872 281534688 290735168 292575264 299130606 308906116 310861218 327077064 329147172 348492384 375379584 390100352 398840808 414481624 422302032 436102752 438862896 448695909 463359174 464656512 466291827 481530122 490615596 522738576 531787744 563069376 581470336 585150528 598261212 617812232 621722436 654154128 658294344 695038761 696984768 722295183 797681616 828963248 844604064 872205504 877725792 880773451 897391818 926718348 932583654 963060244 981231192 1045477152 1063575488 1126138752 1170301056 1196522424 1235624464 1243444872 1308308256 1312850993 1316588688 1390077522 1393969536 1398875481 1444590366 1595363232 1657926496 1689208128 1744411008 1755451584 1761546902 1794783636 1853436696 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15029518167864 15289695321616 16189089164064 16718144365504 16823955405792 17200907236818 17763028388348 17875452618654 18807912411192 18926949831516 20039357557152 21585452218752 22431940541056 22934542982424 23833936824872 24283633746096 25077216548256 25235933108688 25801360855227 26644542582522 26719143409536 26813178927981 27689426605366 28211868616788 30059036335728 30579390643232 32378178328128 33436288731008 33647910811584 34401814473636 35526056776696 35750905237308 37615824822384 37853899663032 39966813873783 40078715114304 41534139908049 45869085964848 47667873649744 48567267492192 50154433096512 50471866217376 50647115752853 51602721710454 53289085165044 53626357855962 55378853210732 56423737233576 60118072671456 61158781286464 64756356656256 67295821623168 68803628947272 71052113553392 71501810474616 75231649644768 75492870650479 75707799326064 79933627747566 80157430228608 80439536783943 83068279816098 91738171929696 95335747299488 97134534984384 100308866193024 100943732434752 101294231505706 103205443420908 106578170330088 107252715711924 110757706421464 112847474467152 119900441621349 120236145342912 122317562572928 124602419724147 137607257894544 142104227106784 143003620949232 150463299289536 150985741300958 151415598652128 151941347258559 159867255495132 160879073567886 166136559632196 183476343859392 190671494598976 194269069968768 201887464869504 202588463011412 206410886841816 213156340660176 214505431423848 221515412842928 225694948934304 226478611951437 235360126145611 239800883242698 240472290685824 249204839448294 275214515789088 284208454213568 286007241898464 300926598579072 301971482601916 302831197304256 303882694517118 319734510990264 321758147135772 332273119264392 366952687718784 373807259172441 381342989197952 405176926022824 412821773683632 426312681320352 429010862847696 443030825685856 451389897868608 452957223902874 455824041775677 470720252291222 479601766485396 498409678896588 550429031578176 568416908427136 572014483796928 603942965203832 605662394608512 607765389034236 639469021980528 643516294271544 664546238528784 679435835854311 706080378436833 747614518344882 810353852045648 825643547367264 852625362640704 858021725695392 886061651371712 902779795737216 905914447805748 911648083551354 941440504582444 959203532970792 996819357793176 1100858063156352 1144028967593856 1207885930407664 1215530778068472 1278938043961056 1287032588543088 1329092477057568 1358871671708622 1367472125327031 1412160756873666 1495229036689764 1620707704091296 1651287094734528 1705250725281408 1716043451390784 1772123302743424 1811828895611496 1823296167102708 1882881009164888 1918407065941584 1993638715586352 2038307507562933 2118241135310499 2415771860815328 2431061556136944 2557876087922112 2574065177086176 2658184954115136 2717743343417244 2734944250654062 2824321513747332 2990458073379528 3241415408182592 3302574189469056 3432086902781568 3623657791222992 3646592334205416 3765762018329776 3836814131883168 3987277431172704 4001122144475387 4076615015125866 4236482270620998 4831543721630656 4862123112273888 5115752175844224 5148130354172352 5316369908230272 5435486686834488 5469888501308124 5648643027494664 5980916146759056 6354723405931497 6482830816365184 7247315582445984 7293184668410832 7531524036659552 7673628263766336 7974554862345408 8002244288950774 8153230030251732 8472964541241996 9663087443261312 9724246224547776 10296260708344704 10870973373668976 10939777002616248 11297286054989328 11961832293518112 12003366433426161 12709446811862994 14494631164891968 14586369336821664 15063048073319104 15347256527532672 15949109724690816 16004488577901548 16306460060503464 16945929082483992 19448492449095552 21741946747337952 21879554005232496 22594572109978656 23923664587036224 24006732866852322 25418893623725988 28989262329783936 29172738673643328 30126096146638208 32008977155803096 32612920121006928 33891858164967984 36010099300278483 43483893494675904 43759108010464992 45189144219957312 47847329174072448 48013465733704644 50837787247451976 58345477347286656 64017954311606192 65225840242013856 67783716329935968 72020198600556966 86967786989351808 87518216020929984 90378288439914624 96026931467409288 101675574494903952 108030297900835449 128035908623212384 130451680484027712 135567432659871936 144040397201113932 175036432041859968 192053862934818576 203351148989807904 216060595801670898 256071817246424768 260903360968055424 271134865319743872 288080794402227864 384107725869637152 406702297979615808 432121191603341796 512143634492849536 576161588804455728 768215451739274304 813404595959231616 864242383206683592 1152323177608911456 1536430903478548608 1728484766413367184 2304646355217822912 3456969532826734368 4609292710435645824 6913939065653468736 13827878131306937472
- Sum of all divisors σ(n): 44731231254179424000
- Sum of proper divisors (its aliquot sum) s(n): 30903353122872486528
- 13827878131306937472 is an abundant number, because the sum of its proper divisors (30903353122872486528) is greater than itself. Its abundance is 17075474991565549056
Bases of 13827878131306937472
- Binary: 10111111111001100111110111100101101011011111000100111100100000002
- Hexadecimal: 0xBFE67DE5ADF13C80
- Base-36: 2X22TP936VXC0
Squares and roots of 13827878131306937472
- 13827878131306937472 squared (138278781313069374722) is 191210213614276641074400660275717750784
- 13827878131306937472 cubed (138278781313069374723) is 2644031531319384014084187289478585818974741334115166978048
-
The
square root of 13827878131306937472 is 3718585501.4113817565 -
The
cube root of 13827878131306937472 is 2400224.4079115439
Scales and comparisons
How big is 13827878131306937472?- 13,827,878,131,306,937,472 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,827,878,131,306,937,472 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 13827878131306937472 cubic inches would be around 200018.7 feet tall.
Recreational maths with 13827878131306937472
- 13827878131306937472 backwards is 27473960313187872831
- The number of decimal digits it has is: 20
- The sum of 13827878131306937472's digits is 90
- More coming soon!
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"Number 13827878131306937472 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
APA style:
Numbermatics. (2024). Number 13827878131306937472 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/13827878131306937472/
Chicago style:
Numbermatics. 2024. "Number 13827878131306937472 - Facts about the integer". https://numbermatics.com/n/13827878131306937472/
The information we have on file for 13827878131306937472 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!
Keywords: Divisors of 13827878131306937472, math, Factors of 13827878131306937472, curriculum, school, college, exams, university, Prime factorization of 13827878131306937472, STEM, science, technology, engineering, physics, economics, calculator, thirteen quintillion, eight hundred twenty-seven quadrillion, eight hundred seventy-eight trillion, one hundred thirty-one billion, three hundred six million, nine hundred thirty-seven thousand, four hundred seventy-two.