10042971805900800
10,042,971,805,900,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 10042971805900800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2016 divisors.
10042971805900800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 10042971805900800:
213 × 32 × 52 × 13 × 53 × 181 × 43691
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 13 × 53 × 181 × 43691)See below for interesting mathematical facts about the number 10042971805900800 from the Numbermatics database.
Names of 10042971805900800
- Cardinal: 10042971805900800 can be written as Ten quadrillion, forty-two trillion, nine hundred seventy-one billion, eight hundred five million, nine hundred thousand, eight hundred.
Scientific notation
- Scientific notation: 1.00429718059008 × 1016
Factors of 10042971805900800
Divisors of 10042971805900800
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 45 48 50 52 53 60 64 65 72 75 78 80 90 96 100 104 106 117 120 128 130 144 150 156 159 160 180 181 192 195 200 208 212 225 234 240 256 260 265 288 300 312 318 320 325 360 362 384 390 400 416 424 450 468 477 480 512 520 530 543 576 585 600 624 636 640 650 689 720 724 768 780 795 800 832 848 900 905 936 954 960 975 1024 1040 1060 1086 1152 1170 1200 1248 1272 1280 1300 1325 1378 1440 1448 1536 1560 1590 1600 1629 1664 1696 1800 1810 1872 1908 1920 1950 2048 2067 2080 2120 2172 2304 2340 2353 2385 2400 2496 2544 2560 2600 2650 2715 2756 2880 2896 2925 3072 3120 3180 3200 3258 3328 3392 3445 3600 3620 3744 3816 3840 3900 3975 4096 4134 4160 4240 4344 4525 4608 4680 4706 4770 4800 4992 5088 5120 5200 5300 5430 5512 5760 5792 5850 6144 6201 6240 6360 6400 6516 6656 6784 6890 7059 7200 7240 7488 7632 7680 7800 7950 8145 8192 8268 8320 8480 8688 9050 9216 9360 9412 9540 9593 9600 9984 10176 10240 10335 10400 10600 10860 11024 11520 11584 11700 11765 11925 12288 12402 12480 12720 12800 13032 13312 13568 13575 13780 14118 14400 14480 14976 15264 15360 15600 15900 16290 16536 16640 16960 17225 17376 18100 18432 18720 18824 19080 19186 19200 19968 20352 20480 20670 20800 21177 21200 21720 22048 23040 23168 23400 23530 23850 24576 24804 24960 25440 25600 26064 26624 27136 27150 27560 28236 28779 28800 28960 29952 30528 30720 31005 31200 31800 32580 33072 33280 33920 34450 34752 35295 36200 36864 37440 37648 38160 38372 38400 39936 40704 40725 40960 41340 41600 42354 42400 43440 43691 44096 46080 46336 46800 47060 47700 47965 49608 49920 50880 51200 51675 52128 53248 54272 54300 55120 56472 57558 57600 57920 58825 59904 61056 61440 62010 62400 63600 65160 66144 66560 67840 68900 69504 70590 72400 73728 74880 75296 76320 76744 76800 79872 81408 81450 82680 83200 84708 84800 86337 86880 87382 88192 92160 92672 93600 94120 95400 95930 99216 99840 101760 102400 103350 104256 105885 106496 108544 108600 110240 112944 115116 115200 115840 117650 119808 122112 122880 124020 124709 124800 127200 130320 131073 132288 133120 135680 137800 139008 141180 143895 144800 149760 150592 152640 153488 153600 155025 159744 162816 162900 165360 166400 169416 169600 172674 173760 174764 176384 176475 184320 185344 187200 188240 190800 191860 198432 199680 203520 204800 206700 208512 211770 217088 217200 218455 220480 225888 230232 230400 231680 235300 239616 239825 244224 248040 249418 249600 254400 260640 262146 264576 266240 271360 275600 278016 282360 287790 289600 299520 301184 305280 306976 307200 310050 319488 325632 325800 330720 332800 338832 339200 345348 347520 349528 352768 352950 368640 370688 374127 374400 376480 381600 383720 393219 396864 399360 407040 413400 417024 423540 431685 434176 434400 436910 440960 451776 460464 460800 463360 470600 479232 479650 488448 496080 498836 499200 508800 521280 524292 529152 529425 532480 542720 551200 556032 564720 567983 575580 579200 599040 602368 610560 613952 614400 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43348462560 43589287352 43621094400 44459961600 45550488960 45972725760 46238360064 46262215350 47423959040 48164958400 48587188224 49037948271 49346363040 50295331560 50611654400 52345313280 52636120576 53351953920 53648353664 54185578200 54486609190 56908750848 56938111200 57465907200 57797950080 58161459200 59215635648 59279948800 60354397872 60733985280 61651146752 61682953800 62869164450 64782917632 65383931028 65431641600 65795150720 66689942400 67060442080 69357540096 69793751040 71135938560 72247437600 72880782336 74019544560 75442997340 75917481600 76621209600 77063933440 78954180864 80472530496 80531251200 80978647040 81729913785 82243938400 83825552600 85363126272 86696925120 87178574704 87242188800 88919923200 91100977920 92476720128 92524430700 94303746675 94847918080 96329916800 97174376448 98075896542 98692726080 100590663120 101223308800 104690626560 105272241152 106703907840 107296707328 108371156400 108973218380 113876222400 114931814400 115595900160 116322918400 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328975753600 335302210400 346787700480 348714298816 348968755200 355679692800 364403911680 369906880512 370097722800 377214986700 385319667200 392303586168 394770904320 402362652480 404893235200 408649568925 421088964608 426815631360 429186829312 433484625600 435892873520 455504889600 462383600640 473725085184 474239590400 482835182976 485871882240 490379482710 493463630400 502953315600 523071448224 523453132800 526361205760 533519539200 536483536640 544866091900 554860320768 577979500800 583046258688 592156356480 603543978720 607339852800 616511467520 631633446912 643780243968 653839310280 657951507200 670604420800 693575400960 697428597632 711359385600 728807823360 739813761024 740195445600 754429973400 770639334400 784607172336 789541808640 804725304960 809786470400 817299137850 842177929216 853631262720 858373658624 866969251200 871785747040 911009779200 924767201280 947450170368 965670365952 971743764480 980758965420 986927260800 1005906631200 1046142896448 1046906265600 1052722411520 1067039078400 1072967073280 1089732183800 1109720641536 1155959001600 1184312712960 1207087957440 1214679705600 1225948706775 1233022935040 1263266893824 1287560487936 1307678620560 1315903014400 1341208841600 1387150801920 1394857195264 1422718771200 1457615646720 1480390891200 1508859946800 1541278668800 1569214344672 1579083617280 1609450609920 1619572940800 1634598275700 1716747317248 1733938502400 1743571494080 1822019558400 1849534402560 1894900340736 1931340731904 1961517930840 1973854521600 2011813262400 2092285792896 2105444823040 2134078156800 2145934146560 2179464367600 2219441283072 2311918003200 2368625425920 2414175914880 2429359411200 2451897413550 2526533787648 2575120975872 2615357241120 2631806028800 2682417683200 2774301603840 2789714390528 2915231293440 2960781782400 3017719893600 3082557337600 3138428689344 3158167234560 3218901219840 3269196551400 3433494634496 3467877004800 3487142988160 3644039116800 3699068805120 3789800681472 3862681463808 3923035861680 3947709043200 4023626524800 4184571585792 4210889646080 4268156313600 4291868293120 4358928735200 4623836006400 4737250851840 4828351829760 4858718822400 4903794827100 5150241951744 5230714482240 5263612057600 5364835366400 5548603207680 5579428781056 5921563564800 6035439787200 6165114675200 6276857378688 6316334469120 6437802439680 6538393102800 6935754009600 6974285976320 7288078233600 7579601362944 7725362927616 7846071723360 7895418086400 8047253049600 8369143171584 8583736586240 8717857470400 9247672012800 9474501703680 9656703659520 9807589654200 10300483903488 10461428964480 10527224115200 10729670732800 11097206415360 11158857562112 11843127129600 12070879574400 12553714757376 12632668938240 12875604879360 13076786205600 13871508019200 13948571952640 14576156467200 15450725855232 15692143446720 15790836172800 16094506099200 16738286343168 17167473172480 17435714940800 18495344025600 18949003407360 19313407319040 19615179308400 20922857928960 21054448230400 21459341465600 22317715124224 23686254259200 24141759148800 25107429514752 25751209758720 26153572411200 27743016038400 27897143905280 30901451710464 31384286893440 31581672345600 32189012198400 33476572686336 34871429881600 37898006814720 38626814638080 39230358616800 41845715857920 42918682931200 44635430248448 47372508518400 48283518297600 50214859029504 51502419517440 52307144822400 55486032076800 55794287810560 62768573786880 63163344691200 64378024396800 66953145372672 69742859763200 77253629276160 78460717233600 83691431715840 85837365862400 94745017036800 96567036595200 100429718059008 104614289644800 111588575621120 125537147573760 128756048793600 133906290745344 139485719526400 154507258552320 156921434467200 167382863431680 189490034073600 193134073190400 200859436118016 209228579289600 223177151242240 251074295147520 257512097587200 278971439052800 313842868934400 334765726863360 386268146380800 401718872236032 418457158579200 502148590295040 557942878105600 627685737868800 669531453726720 772536292761600 836914317158400 1004297180590080 1115885756211200 1255371475737600 1673828634316800 2008594361180160 2510742951475200 3347657268633600 5021485902950400 10042971805900800
- Sum of all divisors σ(n): 39691141194440736
- Sum of proper divisors (its aliquot sum) s(n): 29648169388539936
- 10042971805900800 is an abundant number, because the sum of its proper divisors (29648169388539936) is greater than itself. Its abundance is 19605197582639136
Bases of 10042971805900800
- Binary: 1000111010111000000111100101101111101011100000000000002
- Hexadecimal: 0x23AE0796FAE000
- Base-36: 2QVXPJZDVK0
Squares and roots of 10042971805900800
- 10042971805900800 squared (100429718059008002) is 100861282694118376029699440640000
- 10042971805900800 cubed (100429718059008003) is 1012947018404021133249521158099344411328512000000
-
The
square root of 10042971805900800 is 100214628.7021051633 -
The
cube root of 10042971805900800 is 215751.6278501435
Scales and comparisons
How big is 10042971805900800?- 10,042,971,805,900,800 seconds is equal to 319,335,438 years, 24 weeks, 5 days, 8 hours.
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To count from 1 to 10,042,971,805,900,800 would take you about nine hundred fifty-eight million, six thousand, three hundred fifteen 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 10042971805900800 cubic inches would be around 17979.3 feet tall.
Recreational maths with 10042971805900800
- 10042971805900800 backwards is 00800950817924001
- The number of decimal digits it has is: 17
- The sum of 10042971805900800's digits is 54
- More coming soon!
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The information we have on file for 10042971805900800 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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