12993584077084800
12,993,584,077,084,800 is an even composite number composed of eight prime numbers multiplied together.
12993584077084800 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 12993584077084800:
27 × 3 × 52 × 7 × 79 × 1072 × 313 × 683
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 79 × 107 × 107 × 313 × 683)See below for interesting mathematical facts about the number 12993584077084800 from the Numbermatics database.
Names of 12993584077084800
- Cardinal: 12993584077084800 can be written as Twelve quadrillion, nine hundred ninety-three trillion, five hundred eighty-four billion, seventy-seven million, eighty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.29935840770848 × 1016
Factors of 12993584077084800
Divisors of 12993584077084800
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 64 70 75 79 80 84 96 100 105 107 112 120 128 140 150 158 160 168 175 192 200 210 214 224 237 240 280 300 313 316 320 321 336 350 384 395 400 420 428 448 474 480 525 535 553 560 600 626 632 640 642 672 683 700 749 790 800 840 856 896 939 948 960 1050 1070 1106 1120 1185 1200 1252 1264 1284 1344 1366 1400 1498 1565 1580 1600 1605 1659 1680 1712 1878 1896 1920 1975 2049 2100 2140 2191 2212 2240 2247 2370 2400 2504 2528 2568 2675 2688 2732 2765 2800 2996 3130 3160 3200 3210 3318 3360 3415 3424 3745 3756 3792 3950 4098 4200 4280 4382 4424 4480 4494 4695 4740 4781 4800 5008 5056 5136 5350 5464 5530 5600 5925 5992 6260 6320 6420 6573 6636 6720 6830 6848 7490 7512 7584 7825 7900 8025 8196 8295 8400 8453 8560 8764 8848 8988 9390 9480 9562 9600 10016 10112 10245 10272 10700 10928 10955 11060 11200 11235 11449 11850 11984 12520 12640 12840 13146 13272 13440 13660 13696 13825 14343 14980 15024 15168 15650 15800 16050 16392 16590 16800 16906 17075 17120 17528 17696 17976 18725 18780 18960 19124 20032 20490 20544 21400 21856 21910 22120 22400 22470 22898 23475 23700 23905 23968 24727 25040 25280 25359 25680 26292 26544 27320 27650 28686 29960 30048 30336 31300 31600 32100 32784 32865 33180 33491 33600 33812 34150 34240 34347 35056 35392 35952 37450 37560 37920 38248 40064 40980 41088 41475 42265 42800 43712 43820 44240 44940 45796 46950 47400 47810 47936 49454 50080 50560 50718 51225 51360 52584 53088 53957 54640 54775 55300 56175 57245 57372 59171 59920 60096 62600 63200 64200 65568 65730 66360 66982 67200 67624 68300 68480 68694 70112 70784 71715 71904 73081 74181 74900 75120 75840 76496 80143 81960 82950 84530 85600 87424 87640 88480 89880 91592 93900 94800 95620 95872 98908 100160 100473 101436 102450 102720 105168 106176 107914 109280 109550 110600 112350 114490 114744 118342 119525 119840 120192 123635 125200 126400 126795 128400 131136 131460 132720 133964 135248 136600 137388 140224 143430 143808 146162 148362 149800 150240 151680 152992 160286 161871 163920 164325 165900 167455 169060 171200 171735 173089 175280 176960 177513 179760 183184 187800 189600 191240 197816 200320 200946 202872 204900 205440 210336 211325 212352 213779 215828 218560 219100 219243 221200 224700 228980 229488 234437 236684 239050 239680 240429 247270 250400 252800 253590 256800 262272 262920 265440 267928 269785 270496 273200 274776 280448 286225 286860 287616 292324 295855 296724 299600 300480 305984 320572 323742 327840 328650 331800 334910 338120 342400 343470 346178 350560 353920 355026 358575 359520 365405 366368 370905 375600 377699 379200 382480 395632 400715 401892 405744 409800 420672 422650 427558 431656 437120 438200 438486 442400 449400 457960 458976 468874 473368 478100 479360 480858 494540 500800 502365 507180 511567 513600 519267 525840 530880 535856 539570 540992 546400 549552 572450 573720 584648 591710 593448 599200 600960 611968 618175 633975 641144 641337 647484 655680 657300 663600 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297254394150 303588413016 307431304320 313287138688 316237930225 317071353760 324320688825 339719307600 342657807940 345942068080 346958186304 361414777400 367133365650 370652215800 378303318400 379485516270 380485624512 384289130400 386713811818 387972412800 391608923360 395362363520 396339192200 404784550688 411189369528 415130481696 428322259925 432427585100 433697732880 452959076800 469930708032 475607030640 489511154200 494202954400 505980688360 512385507200 513986711910 518913102120 525481622400 542122166100 543550892160 548252492704 553507308928 567454977600 578263643840 580070717727 587413385040 593043545280 594508788300 607176826032 632475860450 634142707520 648641377650 679438615200 685315615880 691884136160 693916372608 722829554800 734266731300 741304431600 758971032540 760971249024 768578260800 773427623636 783217846720 792678384400 809569101376 822378739056 830260963392 856644519850 864855170200 867395465760 905918153600 939861416064 948713790675 951214061280 966784529545 979022308400 988405908800 1011961376720 1027973423820 1037826204240 1084244332200 1096504985408 1134909955200 1156527287680 1160141435454 1174826770080 1186087090560 1189017576600 1214353652064 1264951720900 1268285415040 1284966779775 1297282755300 1353498341363 1358877230400 1370631231760 1383768272320 1445659109600 1468533462600 1482608863200 1517942065080 1537156521600 1546855247272 1566435693440 1585356768800 1619138202752 1644757478112 1660521926784 1713289039700 1729710340400 1734790931520 1897427581350 1902428122560 1933569059090 1958044616800 1976811817600 2023922753440 2055946847640 2075652408480 2168488664400 2193009970816 2320282870908 2349653540160 2378035153200 2428707304128 2529903441800 2569933559550 2594565510600 2706996682726 2717754460800 2741262463520 2767536544640 2891318219200 2900353588635 2937066925200 2965217726400 3035884130160 3093710494544 3170713537600 3289514956224 3426578079400 3459420680800 3469581863040 3794855162700 3804856245120 3867138118180 3916089233600 4047845506880 4060495024089 4111893695280 4151304816960 4336977328800 4640565741816 4699307080320 4756070306400 4833922647725 4857414608256 5059806883600 5139867119100 5189131021200 5413993365452 5482524927040 5782636438400 5800707177270 5874133850400 5930435452800 6071768260320 6187420989088 6341427075200 6579029912448 6767491706815 6853156158800 6918841361600 7589710325400 7734276236360 7832178467200 8095691013760 8120990048178 8223787390560 8302609633920 8673954657600 9281131483632 9512140612800 9667845295450 10119613767200 10279734238200 10378262042400 10827986730904 10965049854080 11601414354540 11748267700800 12143536520640 12374841978176 13534983413630 13706312317600 13837682723200 14501767943175 15179420650800 15468552472720 16241980096356 16447574781120 17347909315200 18562262967264 19024281225600 19335690590900 20239227534400 20302475120445 20559468476400 20756524084800 21655973461808 23202828709080 23496535401600 24287073041280 24749683956352 27069966827260 27412624635200 29003535886350 30358841301600 30937104945440 32483960192712 32895149562240 33837458534075 37124525934528 38671381181800 40478455068800 40604950240890 41118936952800 41513048169600 43311946923616 46405657418160 54139933654520 54825249270400 58007071772700 60717682603200 61874209890880 64967920385424 67674917068150 74249051869056 77342762363600 81209900481780 82237873905600 86623893847232 92811314836320 101512375602225 108279867309040 116014143545400 121435365206400 123748419781760 129935840770848 135349834136300 154685524727200 162419800963560 164475747811200 173247787694464 185622629672640 203024751204450 216559734618080 232028287090800 259871681541696 270699668272600 309371049454400 324839601927120 371245259345280 406049502408900 433119469236160 464056574181600 519743363083392 541399336545200 618742098908800 649679203854240 812099004817800 866238938472320 928113148363200 1082798673090400 1299358407708480 1624198009635600 1856226296726400 2165597346180800 2598716815416960 3248396019271200 4331194692361600 6496792038542400 12993584077084800
- Sum of all divisors σ(n): 50231101603737600
- Sum of proper divisors (its aliquot sum) s(n): 37237517526652800
- 12993584077084800 is an abundant number, because the sum of its proper divisors (37237517526652800) is greater than itself. Its abundance is 24243933449568000
Bases of 12993584077084800
- Binary: 1011100010100110011000100010110100011000011000100000002
- Hexadecimal: 0x2E29988B461880
- Base-36: 3JXUA4B3HXC
Squares and roots of 12993584077084800
- 12993584077084800 squared (129935840770848002) is 168833227168271653788466391040000
- 12993584077084800 cubed (129935840770848003) is 2193748732216495417940143061108261420040192000000
-
The
square root of 12993584077084800 is 113989403.3543679883 -
The
cube root of 12993584077084800 is 235094.7804013255
Scales and comparisons
How big is 12993584077084800?- 12,993,584,077,084,800 seconds is equal to 413,155,781 years, 44 weeks, 3 days, 21 hours, 20 minutes.
-
To count from 1 to 12,993,584,077,084,800 would take you about one billion, two hundred thirty-nine million, four hundred sixty-seven thousand, three hundred forty-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 12993584077084800 cubic inches would be around 19591.2 feet tall.
Recreational maths with 12993584077084800
- 12993584077084800 backwards is 00848077048539921
- 12993584077084800 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 12993584077084800's digits is 75
- More coming soon!
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Numbermatics. (2024). Number 12993584077084800 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/12993584077084800/
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The information we have on file for 12993584077084800 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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