972963894040020
972,963,894,040,020 is an even composite number composed of six prime numbers multiplied together.
What does the number 972963894040020 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1080 divisors.
972963894040020 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 972963894040020:
22 × 314 × 5 × 23 × 47 × 972
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 23 × 47 × 97 × 97)See below for interesting mathematical facts about the number 972963894040020 from the Numbermatics database.
Names of 972963894040020
- Cardinal: 972963894040020 can be written as Nine hundred seventy-two trillion, nine hundred sixty-three billion, eight hundred ninety-four million, forty thousand and twenty.
Scientific notation
- Scientific notation: 9.7296389404002 × 1014
Factors of 972963894040020
Divisors of 972963894040020
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 47 54 60 69 81 90 92 94 97 108 115 135 138 141 162 180 188 194 207 230 235 243 270 276 282 291 324 345 388 405 414 423 460 470 485 486 540 564 582 621 690 705 729 810 828 846 873 940 970 972 1035 1081 1164 1215 1242 1269 1380 1410 1455 1458 1620 1692 1746 1863 1940 2070 2115 2162 2187 2231 2430 2484 2538 2619 2820 2910 2916 3105 3243 3492 3645 3726 3807 4140 4230 4324 4365 4374 4462 4559 4860 5076 5238 5405 5589 5820 6210 6345 6486 6561 6693 7290 7452 7614 7857 8460 8730 8748 8924 9118 9315 9409 9729 10476 10810 10935 11155 11178 11421 12420 12690 12972 13095 13122 13386 13677 14580 15228 15714 16215 16767 17460 18236 18630 18818 19035 19458 19683 20079 21620 21870 22310 22356 22795 22842 23571 25380 26190 26244 26772 27354 27945 28227 29187 31428 32430 32805 33465 33534 34263 37260 37636 38070 38916 39285 39366 40158 41031 43740 44620 45590 45684 47045 47142 48645 50301 52380 54708 55890 56454 57105 58374 59049 60237 64860 65610 66930 67068 68385 68526 70713 76140 78570 78732 80316 82062 83835 84681 87561 91180 94090 94284 97290 98415 100395 100602 102789 104857 111780 112908 114210 116748 117855 118098 120474 123093 131220 133860 136770 137052 141135 141426 145935 150903 157140 164124 167670 169362 171315 175122 177147 180711 188180 194580 196830 200790 201204 205155 205578 209714 212139 216407 228420 235710 236196 240948 246186 251505 254043 262683 273540 282270 282852 291870 295245 301185 301806 308367 314571 335340 338724 342630 350244 353565 354294 361422 369279 393660 401580 410310 411156 419428 423405 424278 432814 437805 442223 452709 471420 492372 503010 508086 513945 524285 525366 531441 542133 564540 583740 590490 602370 603612 615465 616734 629142 636417 649221 685260 707130 708588 722844 738558 754515 762129 788049 820620 846810 848556 865628 875610 884446 885735 903555 905418 925101 943713 1006020 1016172 1027890 1048570 1050732 1060695 1062882 1082035 1084266 1107837 1180980 1204740 1230930 1233468 1258284 1270215 1272834 1298442 1313415 1326669 1358127 1414260 1477116 1509030 1524258 1541835 1572855 1576098 1594323 1626399 1693620 1751220 1768892 1771470 1807110 1810836 1846395 1850202 1887426 1909251 1947663 2055780 2097140 2121390 2125764 2164070 2168532 2211115 2215674 2263545 2286387 2364147 2461860 2540430 2545668 2596884 2626830 2653338 2657205 2710665 2716254 2775303 2831139 3018060 3048516 3083670 3145710 3152196 3182085 3188646 3246105 3252798 3323511 3542940 3614220 3692790 3700404 3774852 3810645 3818502 3895326 3940245 3980007 4074381 4242780 4328140 4422230 4431348 4527090 4572774 4625505 4718565 4728294 4782969 4879197 5080860 5253660 5306676 5314410 5421330 5432508 5539185 5550606 5662278 5727753 5842989 6167340 6291420 6364170 6377292 6492210 6505596 6633345 6647022 6790635 6859161 7092441 7385580 7621290 7637004 7790652 7880490 7960014 7971615 8131995 8148762 8325909 8493417 8844460 9054180 9145548 9251010 9437130 9456588 9546255 9565938 9738315 9758394 9970533 10171129 10628820 10842660 11078370 11101212 11324556 11431935 11455506 11685978 11820735 11940021 12223143 12728340 12984420 13266690 13294044 13581270 13718322 13876515 14155695 14184882 14637591 15242580 15760980 15920028 15943230 16263990 16297524 16617555 16651818 16986834 17183259 17528967 18502020 18874260 19092510 19131876 19476630 19516788 19900035 19941066 20342258 20371905 20577483 21277323 22156740 22863870 22911012 23371956 23641470 23880042 23914845 24395985 24446286 24977727 25480251 26533380 27162540 27436644 27753030 28311390 28369764 28638765 29214945 29275182 29911599 30513387 31886460 32527980 33235110 33303636 33973668 34295805 34366518 35057934 35462205 35820063 36669429 38185020 38953260 39800070 39882132 40684516 40743810 41154966 41629545 42467085 42554646 43912773 45727740 47282940 47760084 47829690 48791970 48892572 49852665 49955454 50855645 50960502 51549777 52586901 55506060 56622780 57277530 58429890 58550364 59700105 59823198 61026774 61115715 61732449 63831969 66470220 68591610 68733036 70115868 70924410 71640126 73187955 73338858 74933181 76440753 79600140 81487620 82309932 83259090 84934170 85109292 85916295 87644835 87825546 89734797 91540161 95659380 97583940 99705330 99910908 101711290 101921004 102887415 103099554 105173802 106386615 107460189 110008287 114555060 116859780 119400210 119646396 122053548 122231430 123464898 124888635 127401255 127663938 131738319 137183220 141848820 143280252 146375910 146677716 149557995 149866362 152566935 152881506 154649331 157760703 166518180 169868340 171832590 175289670 175651092 179100315 179469594 183080322 183347145 185197347 191495907 199410660 203422580 205774830 206199108 210347604 212773230 214920378 219563865 220016574 224799543 229322259 238800420 244462860 246929796 249777270 254802510 255327876 257748885 262934505 263476638 269204391 274620483 292751820 299115990 299732724 305133870 305763012 308662245 309298662 315521406 319159845 322380567 343665180 350579340 358200630 358939188 366160644 366694290 370394694 374665905 382203765 382991814 395214957 411549660 425546460 429840756 439127730 440033148 448673985 449599086 457700805 458644518 463947993 473282109 499554540 509605020 515497770 525869010 526953276 537300945 538408782 549240966 550041435 555592041 574487721 598231980 610267740 617324490 618597324 631042812 638319690 644761134 658691595 687966777 716401260 733388580 740789388 749331810 764407530 765983628 773246655 788803515 790429914 807613173 823861449 878255460 897347970 899198172 915401610 917289036 925986735 927895986 946564218 957479535 967141701 1030995540 1051738020 1074601890 1076817564 1098481932 1100082870 1111184082 1123997715 1146611295 1148975442 1185644871 1234648980 1276639380 1289522268 1317383190 1346021955 1373102415 1375933554 1419846327 1498663620 1528815060 1546493310 1577607030 1580859828 1611902835 1615226346 1647722898 1666776123 1723463163 1794695940 1830803220 1851973470 1855791972 1893128436 1914959070 1934283402 1976074785 2063900331 2149203780 2200165740 2222368164 2247995430 2293222590 2297950884 2319739965 2366410545 2371289742 2422839519 2471584347 2634766380 2692043910 2746204830 2751867108 2777960205 2839692654 2872438605 2901425103 3092986620 3155214060 3223805670 3230452692 3295445796 3333552246 3439833885 3446926326 3556934613 3703946940 3829918140 3868566804 3952149570 4038065865 4119307245 4127800662 4259538981 4495990860 4586445180 4639479930 4732821090 4742579484 4835708505 4845679038 4943168694 5000328369 5170389489 5384087820 5492409660 5555920410 5679385308 5744877210 5802850206 5928224355 6191700993 6447611340 6667104492 6879667770 6893852652 7099231635 7113869226 7268518557 7414753041 7904299140 8076131730 8238614490 8255601324 8333880615 8519077962 8617315815 8704275309 9278959860 9465642180 9671417010 9691358076 9886337388 10000656738 10319501655 10340778978 10670803839 11111840820 11489754420 11605700412 11856448710 12114197595 12357921735 12383401986 12778616943 13759335540 14198463270 14227738452 14507125515 14537037114 14829506082 15000985107 16152263460 16477228980 16667761230 17038155924 17234631630 17408550618 17784673065 18575102979 19342834020 20001313476 20639003310 20681557956 21297694905 21341607678 21805555671 22244259123 23712897420 24228395190 24715843470 24766803972 25001641845 25557233886 25851947445 26112825927 28396926540 29014251030 29074074228 29659012164 30001970214 30958504965 33335522460 34469263260 34817101236 35569346130 36342592785 37073765205 37150205958 38335850829 41278006620 42595389810 42683215356 43521376545 43611111342 44488518246 45002955321 48456790380 49431686940 50003283690 51114467772 51703894890 52225651854 53354019195 55725308937 58028502060 60003940428 61917009930 63893084715 66732777369 71138692260 72685185570 74147530410 74300411916 75004925535 76671701658 78338477781 85190779620 87042753090 87222222684 88977036492 90005910642 92875514895 100006567380 103407789780 104451303708 106708038390 109027778355 111221295615 111450617874 115007552487 123834019860 127786169430 130564129635 133465554738 145370371140 148295060820 150009851070 153343403316 156676955562 167175926811 174085506180 180011821284 185751029790 191679254145 200198332107 213416076780 218055556710 222442591230 222901235748 225014776605 230015104974 235015433343 255572338860 261128259270 266931109476 278626544685 300019702140 313353911124 333663886845 334351853622 345022657461 371502059580 383358508290 391692388905 400396664214 436111113420 444885182460 450029553210 460030209948 470030866686 501527780433 522256518540 557253089370 575037762435 600594996321 667327773690 668703707244 690045314922 705046300029 766717016580 783384777810 800793328428 835879634055 900059106420 940061733372 1000991660535 1003055560866 1035067972383 1114506178740 1150075524870 1175077166715 1201189992642 1334655547380 1380090629844 1410092600058 1566769555620 1671759268110 1725113287305 1801784988963 2001983321070 2006111121732 2070135944766 2115138900087 2300151049740 2350154333430 2402379985284 2507638902165 2820185200116 3002974981605 3343518536220 3450226574610 3525231500145 3603569977926 4003966642140 4140271889532 4230277800174 4700308666860 5015277804330 5175339861915 5405354966889 6005949963210 6900453149220 7050463000290 7207139955852 8460555600348 9008924944815 10030555608660 10350679723830 10575694500435 10810709933778 12011899926420 14100926000580 16216064900667 18017849889630 20701359447660 21151389000870 21621419867556 27026774834445 32432129801334 36035699779260 42302778001740 48648194702001 54053549668890 64864259602668 81080324503335 97296389404002 108107099337780 162160649006670 194592778808004 243240973510005 324321298013340 486481947020010 972963894040020
- Sum of all divisors σ(n): 3300152873681664
- Sum of proper divisors (its aliquot sum) s(n): 2327188979641644
- 972963894040020 is an abundant number, because the sum of its proper divisors (2327188979641644) is greater than itself. Its abundance is 1354225085601624
Bases of 972963894040020
- Binary: 110111010011100111110011110100100010010101110101002
- Hexadecimal: 0x374E7CF4895D4
- Base-36: 9KVXFXBT90
Squares and roots of 972963894040020
- 972963894040020 squared (9729638940400202) is 946658739105519266077361600400
- 972963894040020 cubed (9729638940400203) is 921064773127121384753654728999671968848008000
-
The
square root of 972963894040020 is 31192369.1636275041 -
The
cube root of 972963894040020 is 99090.5505586053
Scales and comparisons
How big is 972963894040020?- 972,963,894,040,020 seconds is equal to 30,937,242 years, 13 weeks, 2 days, 27 minutes.
-
To count from 1 to 972,963,894,040,020 would take you about seventy-seven million, three hundred forty-three thousand, one hundred 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 972963894040020 cubic inches would be around 8257.5 feet tall.
Recreational maths with 972963894040020
- 972963894040020 backwards is 020040498369279
- The number of decimal digits it has is: 15
- The sum of 972963894040020's digits is 63
- More coming soon!
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The information we have on file for 972963894040020 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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