120800231964672
120,800,231,964,672 is an even composite number composed of six prime numbers multiplied together.
What does the number 120800231964672 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1080 divisors.
120800231964672 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 120800231964672:
214 × 3 × 13 × 23 × 472 × 612
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 23 × 47 × 47 × 61 × 61)See below for interesting mathematical facts about the number 120800231964672 from the Numbermatics database.
Names of 120800231964672
- Cardinal: 120800231964672 can be written as One hundred twenty trillion, eight hundred billion, two hundred thirty-one million, nine hundred sixty-four thousand, six hundred seventy-two.
Scientific notation
- Scientific notation: 1.20800231964672 × 1014
Factors of 120800231964672
Divisors of 120800231964672
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 47 48 52 61 64 69 78 92 94 96 104 122 128 138 141 156 183 184 188 192 208 244 256 276 282 299 312 366 368 376 384 416 488 512 552 564 598 611 624 732 736 752 768 793 832 897 976 1024 1081 1104 1128 1196 1222 1248 1403 1464 1472 1504 1536 1586 1664 1794 1833 1952 2048 2162 2208 2209 2256 2379 2392 2444 2496 2806 2867 2928 2944 3008 3072 3172 3243 3328 3588 3666 3721 3904 4096 4209 4324 4416 4418 4512 4758 4784 4888 4992 5612 5734 5856 5888 6016 6144 6344 6486 6627 6656 7176 7332 7442 7808 8192 8418 8601 8648 8832 8836 9024 9516 9568 9776 9984 11163 11224 11468 11712 11776 12032 12288 12688 12972 13254 13312 14053 14352 14664 14884 15616 16384 16836 17202 17296 17664 17672 18048 18239 19032 19136 19552 19968 22326 22448 22936 23424 23552 24064 24576 25376 25944 26508 26624 28106 28704 28717 29328 29768 31232 33672 34404 34592 35328 35344 36096 36478 37271 38064 38272 39104 39936 42159 44652 44896 45872 46848 47104 48128 48373 49152 50752 50807 51888 53016 53248 54717 56212 57408 57434 58656 59536 62464 65941 67344 68808 69184 70656 70688 72192 72956 74542 76128 76544 78208 79872 84318 85583 86151 89304 89792 91744 93696 94208 96256 96746 101504 101614 103776 106032 106496 109434 111813 112424 114816 114868 117312 119072 124928 131882 134688 134749 137616 138368 141312 141376 144384 145119 145912 149084 152256 152421 153088 156416 159744 168636 171166 172302 174887 178608 179584 183488 187392 188416 192512 193492 197823 203008 203228 207552 212064 212992 218868 223626 224848 229632 229736 234624 238144 249856 256749 263764 269376 269498 275232 276736 282624 282752 288768 290238 291824 298168 304512 304842 306176 312832 319488 337272 342332 344604 349774 357216 359168 366976 374784 376832 385024 386984 395646 404247 406016 406456 415104 424128 437736 447252 449696 459264 459472 469248 476288 499712 513498 524661 527528 538752 538996 550464 553472 565248 565504 577536 580476 583648 596336 609024 609684 612352 625664 638976 660491 674544 684664 689208 699548 714432 718336 733952 749568 770048 773968 791292 808494 812032 812912 830208 848256 857233 875472 894504 899392 918528 918944 938496 952576 999424 1026996 1049322 1055056 1077504 1077992 1100928 1106944 1112579 1130496 1131008 1155072 1160952 1167296 1192672 1218048 1219368 1224704 1251328 1320982 1349088 1369328 1378416 1399096 1428864 1436672 1467904 1499136 1547936 1582584 1616988 1624064 1625824 1660416 1696512 1714466 1750944 1751737 1789008 1798784 1837056 1837888 1876992 1905152 1981473 2053992 2098644 2110112 2155008 2155984 2201856 2213888 2225158 2262016 2273531 2310144 2321904 2334592 2385344 2436096 2438736 2449408 2502656 2571699 2641964 2698176 2738656 2756832 2798192 2857728 2873344 2935808 2998272 3095872 3099227 3165168 3233976 3248128 3251648 3320832 3337737 3393024 3428932 3501888 3503474 3578016 3597568 3674112 3675776 3753984 3810304 3962946 4022401 4107984 4197288 4220224 4310016 4311968 4403712 4427776 4450316 4524032 4547062 4643808 4669184 4770688 4872192 4877472 4898816 5005312 5143398 5255211 5283928 5396352 5477312 5513664 5596384 5715456 5746688 5871616 6191744 6198454 6330336 6467952 6496256 6503296 6641664 6675474 6786048 6820593 6857864 7003776 7006948 7156032 7195136 7348224 7351552 7507968 7620608 7925892 8044802 8215968 8219689 8394576 8440448 8620032 8623936 8807424 8855552 8900632 9048064 9094124 9287616 9297681 9338368 9541376 9744384 9754944 10010624 10286796 10510422 10567856 10792704 10954624 11027328 11192768 11430912 11493376 11743232 12067203 12383488 12396908 12660672 12935904 12992512 13006592 13283328 13350948 13572096 13641186 13715728 14007552 14013896 14312064 14390272 14696448 14703104 15015936 15241216 15851784 16089604 16431936 16439378 16789152 16880896 17240064 17247872 17614848 17711104 17801264 18096128 18188248 18575232 18595362 18676736 19082752 19488768 19509888 20573592 21020844 21135712 21585408 21909248 22054656 22385536 22861824 22986752 23486464 24134406 24659067 24766976 24793816 25321344 25871808 26013184 26566656 26701896 27144192 27282372 27431456 28015104 28027792 28624128 28780544 29406208 30031872 30482432 31703568 32179208 32863872 32878756 33578304 33761792 34480128 34495744 35229696 35602528 36192256 36376496 37150464 37190724 37353472 38165504 38977536 39019776 40289951 41147184 42041688 42271424 43170816 43818496 44109312 44771072 45723648 46972928 48268812 49318134 49533952 49587632 50642688 51743616 52026368 52291213 53133312 53403792 54288384 54564744 54862912 56030208 56055584 57248256 57561088 58812416 60964864 63407136 64358416 65727744 65757512 67156608 67523584 68960256 68991488 70459392 71205056 72752992 74300928 74381448 74706944 76331008 78039552 80579902 82294368 84083376 84542848 86341632 87636992 88218624 89542144 91447296 96537624 98636268 99067904 99175264 101285376 103487232 104052736 104582426 106807584 106855957 108576768 109129488 109725824 112060416 112111168 114496512 115122176 117624832 120869853 126814272 128716832 131455488 131515024 134313216 135047168 137982976 140918784 142410112 145505984 148601856 148762896 149413888 152662016 156079104 156873639 161159804 164588736 168166752 169085696 172683264 175273984 176437248 179084288 182894592 189052847 193075248 197272536 198135808 198350528 202570752 206974464 208105472 209164852 213615168 213711914 218258976 219451648 224120832 224222336 228993024 230244352 235249664 241739706 253628544 257433664 262910976 263030048 268626432 270094336 275965952 284820224 291011968 297203712 297525792 298827776 305324032 312158208 313747278 320567871 322319608 329177472 336333504 338171392 345366528 350547968 352874496 358168576 378105694 386150496 394545072 396271616 396701056 405141504 413948928 416210944 418329704 427230336 427423828 436517952 438903296 448241664 448444672 457986048 470499328 483479412 507257088 514867328 525821952 526060096 537252864 540188672 551931904 567158541 569640448 582023936 594407424 595051584 610648064 624316416 627494556 641135742 644639216 658354944 672667008 676342784 690733056 701095936 705748992 716337152 756211388 772300992 789090144 792543232 793402112 810283008 827897856 832421888 836659408 854460672 854847656 873035904 877806592 896483328 896889344 915972096 966958824 1014514176 1029734656 1051643904 1052120192 1074505728 1080377344 1103863808 1134317082 1139280896 1164047872 1188814848 1190103168 1248632832 1254989112 1282271484 1289278432 1316709888 1345334016 1352685568 1402191872 1411497984 1432674304 1512422776 1544601984 1578180288 1586804224 1620566016 1655795712 1673318816 1708921344 1709695312 1746071808 1755613184 1793778688 1831944192 1933917648 2029028352 2059469312 2103287808 2104240384 2149011456 2207727616 2268634164 2278561792 2328095744 2377629696 2380206336 2457687011 2497265664 2509978224 2564542968 2578556864 2633419776 2690668032 2705371136 2865348608 3024845552 3089203968 3156360576 3173608448 3241132032 3311591424 3346637632 3417842688 3419390624 3492143616 3511226368 3587557376 3867835296 4058056704 4118938624 4206575616 4208480768 4298022912 4537268328 4557123584 4656191488 4760412672 4915374022 5019956448 5129085936 5157113728 5266839552 5381336064 5410742272 6049691104 6178407936 6312721152 6347216896 6623182848 6693275264 6835685376 6838781248 6984287232 7022452736 7175114752 7373061033 7735670592 8116113408 8237877248 8416961536 8596045824 9074536656 9114247168 9312382976 9520825344 9830748044 10039912896 10258171872 10314227456 10533679104 10762672128 10821484544 12099382208 12356815872 12625442304 12694433792 13386550528 13671370752 13677562496 13968574464 14044905472 14350229504 14746122066 15471341184 16232226816 16475754496 16833923072 18149073312 18228494336 18624765952 19041650688 19661496088 20079825792 20516343744 20628454912 21067358208 21525344256 24198764416 24713631744 25250884608 25388867584 26773101056 27342741504 27355124992 27937148928 28700459008 29492244132 30942682368 32464453632 32951508992 33667846144 36298146624 37249531904 38083301376 39322992176 40159651584 41032687488 41256909824 42134716416 43050688512 48397528832 49427263488 50501769216 50777735168 53546202112 54685483008 54710249984 55874297856 58984488264 61885364736 65903017984 67335692288 72596293248 76166602752 78645984352 80319303168 82065374976 82513819648 86101377024 96795057664 98854526976 101003538432 107092404224 109420499968 111748595712 117968976528 123770729472 134671384576 145192586496 152333205504 157291968704 160638606336 164130749952 165027639296 193590115328 197709053952 202007076864 214184808448 218840999936 235937953056 247541458944 290385172992 314583937408 321277212672 328261499904 330055278592 387180230656 404014153728 428369616896 437681999872 471875906112 495082917888 580770345984 629167874816 642554425344 656522999808 660110557184 774360461312 856739233792 875363999744 943751812224 990165835776 1161540691968 1258335749632 1285108850688 1313045999616 1548720922624 1750727999488 1887503624448 1980331671552 2323081383936 2516671499264 2570217701376 2626091999232 3097441845248 3775007248896 4646162767872 5033342998528 5252183998464 7550014497792 9292325535744 10066685997056 15100028995584 20133371994112 30200057991168 40266743988224 60400115982336 120800231964672
- Sum of all divisors σ(n): 376013857197888
- Sum of proper divisors (its aliquot sum) s(n): 255213625233216
- 120800231964672 is an abundant number, because the sum of its proper divisors (255213625233216) is greater than itself. Its abundance is 134413393268544
Bases of 120800231964672
- Binary: 110110111011101111111101110101001000000000000002
- Hexadecimal: 0x6DDDFEEA4000
- Base-36: 16TIUZ54AO
Squares and roots of 120800231964672
- 120800231964672 squared (1208002319646722) is 14592696042718562809056067584
- 120800231964672 cubed (1208002319646723) is 1762801066950353532243383278236546732392448
-
The
square root of 120800231964672 is 10990915.8837956721 -
The
cube root of 120800231964672 is 49433.6398751793
Scales and comparisons
How big is 120800231964672?- 120,800,231,964,672 seconds is equal to 3,841,073 years, 37 weeks, 1 day, 22 hours, 11 minutes, 12 seconds.
-
To count from 1 to 120,800,231,964,672 would take you about nine million, six hundred two thousand, six hundred eighty-four 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 120800231964672 cubic inches would be around 4119.5 feet tall.
Recreational maths with 120800231964672
- 120800231964672 backwards is 276469132008021
- The number of decimal digits it has is: 15
- The sum of 120800231964672's digits is 51
- More coming soon!
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The information we have on file for 120800231964672 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 120800231964672, math, Factors of 120800231964672, curriculum, school, college, exams, university, Prime factorization of 120800231964672, STEM, science, technology, engineering, physics, economics, calculator, one hundred twenty trillion, eight hundred billion, two hundred thirty-one million, nine hundred sixty-four thousand, six hundred seventy-two.