23268918993362702400
23,268,918,993,362,702,400 is an even composite number composed of seven prime numbers multiplied together.
23268918993362702400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 23268918993362702400:
26 × 3 × 52 × 132 × 19 × 1327 × 1137689479
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 13 × 19 × 1327 × 1137689479)See below for interesting mathematical facts about the number 23268918993362702400 from the Numbermatics database.
Names of 23268918993362702400
- Cardinal: 23268918993362702400 can be written as Twenty-three quintillion, two hundred sixty-eight quadrillion, nine hundred eighteen trillion, nine hundred ninety-three billion, three hundred sixty-two million, seven hundred two thousand, four hundred.
Scientific notation
- Scientific notation: 2.32689189933627024 × 1019
Factors of 23268918993362702400
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 1137690848
Divisors of 23268918993362702400
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 25 26 30 32 38 39 40 48 50 52 57 60 64 65 75 76 78 80 95 96 100 104 114 120 130 150 152 156 160 169 190 192 195 200 208 228 240 247 260 285 300 304 312 320 325 338 380 390 400 416 456 475 480 494 507 520 570 600 608 624 650 676 741 760 780 800 832 845 912 950 960 975 988 1014 1040 1140 1200 1216 1235 1248 1300 1327 1352 1425 1482 1520 1560 1600 1690 1824 1900 1950 1976 2028 2080 2280 2400 2470 2496 2535 2600 2654 2704 2850 2964 3040 3120 3211 3380 3648 3705 3800 3900 3952 3981 4056 4160 4225 4560 4800 4940 5070 5200 5308 5408 5700 5928 6080 6175 6240 6422 6635 6760 7410 7600 7800 7904 7962 8112 8450 9120 9633 9880 10140 10400 10616 10816 11400 11856 12350 12480 12675 12844 13270 13520 14820 15200 15600 15808 15924 16055 16224 16900 17251 18240 18525 19266 19760 19905 20280 20800 21232 22800 23712 24700 25213 25350 25688 26540 27040 29640 30400 31200 31848 32110 32448 33175 33800 34502 37050 38532 39520 39810 40560 42464 45600 47424 48165 49400 50426 50700 51376 51753 53080 54080 59280 62400 63696 64220 66350 67600 69004 74100 75639 77064 79040 79620 80275 81120 84928 86255 91200 96330 98800 99525 100852 101400 102752 103506 106160 118560 126065 127392 128440 132700 135200 138008 148200 151278 154128 159240 160550 162240 172510 192660 197600 199050 201704 202800 205504 207012 212320 224263 237120 240825 252130 254784 256880 258765 265400 270400 276016 296400 302556 308256 318480 321100 327769 345020 378195 385320 395200 398100 403408 405600 414024 424640 431275 448526 481650 504260 513760 517530 530800 552032 592800 605112 616512 630325 636960 642200 655538 672789 690040 756390 770640 796200 806816 811200 828048 862550 897052 963300 983307 1008520 1027520 1035060 1061600 1104064 1121315 1185600 1210224 1260650 1273920 1284400 1293825 1311076 1345578 1380080 1512780 1541280 1592400 1613632 1638845 1656096 1725100 1794104 1890975 1926600 1966614 2017040 2070120 2123200 2242630 2420448 2521300 2568800 2587650 2622152 2691156 2760160 3025560 3082560 3184800 3277690 3312192 3363945 3450200 3588208 3781950 3853200 3933228 4034080 4140240 4260997 4485260 4840896 4916535 5042600 5137600 5175300 5244304 5382312 5520320 5606575 6051120 6369600 6555380 6727890 6900400 7176416 7563900 7706400 7866456 8068160 8194225 8280480 8521994 8970520 9833070 10085200 10350600 10488608 10764624 11213150 12102240 12782991 13110760 13455780 13800800 14352832 15127800 15412800 15732912 16388450 16560960 16819725 17043988 17941040 19666140 20170400 20701200 20977216 21304985 21529248 22426300 24204480 24582675 25565982 26221520 26911560 27601600 30255600 31465824 32776900 33639450 34087976 35882080 39332280 40340800 41402400 42609970 43058496 44852600 49165350 51131964 52443040 53823120 60511200 62931648 63914955 65553800 67278900 68175952 71764160 78664560 82804800 85219940 89705200 98330700 102263928 104886080 106524925 107646240 121022400 127829910 131107600 134557800 136351904 157329120 170439880 179410400 196661400 204527856 213049850 215292480 255659820 262215200 269115600 272703808 314658240 319574775 340879760 358820800 393322800 409055712 426099700 511319640 524430400 538231200 639149550 681759520 786645600 818111424 852199400 1022639280 1076462400 1137689479 1278299100 1363519040 1573291200 1704398800 2045278560 2275378958 2556598200 3408797600 3413068437 4090557120 4550757916 5113196400 5688447395 6817595200 6826136874 9101515832 10226392800 11376894790 13652273748 14789963227 17065342185 18203031664 20452785600 21616100101 22753789580 27304547496 28442236975 29579926454 34130684370 36406063328 43232200202 44369889681 45507579160 54609094992 56884473950 59159852908 64848300303 68261368740 72812126656 73949816135 85326710925 86464400404 88739779362 91015158320 108080500505 109218189984 113768947900 118319705816 129696600606 136522737480 147899632270 170653421850 172928800808 177479558724 182030316640 192269521951 216161001010 218436379968 221849448405 227537895800 236639411632 259393201212 273045474960 281009301313 295799264540 324241501515 341306843700 345857601616 354959117448 364060633280 369749080675 384539043902 432322002020 443698896810 455075791600 473278823264 518786402424 540402502525 546090949920 562018602626 576808565853 591598529080 648483003030 682613687400 691715203232 709918234896 739498161350 769078087804 843027903939 864644004040 887397793620 910151583200 946557646528 961347609755 1037572804848 1080805005050 1092181899840 1109247242025 1124037205252 1153617131706 1183197058160 1296966006060 1365227374800 1383430406464 1405046506565 1419836469792 1478996322700 1509713938633 1538156175608 1621207507575 1686055807878 1729288008080 1774795587240 1820303166400 1922695219510 2075145609696 2161610010100 2218494484050 2248074410504 2307234263412 2366394116320 2593932012120 2730454749600 2810093013130 2839672939584 2884042829265 2957992645400 3019427877266 3076312351216 3242415015150 3372111615756 3458576016160 3549591174480 3653120917069 3845390439020 4150291219392 4215139519695 4323220020200 4436988968100 4496148821008 4529141815899 4614468526824 4732788232640 4806738048775 5187864024240 5460909499200 5620186026260 5768085658530 5915985290800 6038855754532 6152624702432 6484830030300 6744223231512 6917152032320 7025232532825 7099182348960 7306241834138 7548569693165 7690780878040 8430279039390 8646440040400 8873977936200 8992297642016 9058283631798 9228937053648 9613476097550 10375728048480 10959362751207 11240372052520 11536171317060 11831970581600 12077711509064 12305249404864 12969660060600 13488446463024 14050465065650 14198364697920 14420214146325 14612483668276 15097139386330 15381561756080 16860558078780 17292880080800 17747955872400 17984595284032 18116567263596 18265604585345 18457874107296 19226952195100 19626281202229 20751456096960 21075697598475 21918725502414 22480744105040 22645709079495 23072342634120 23663941163200 24155423018128 25939320121200 26976892926048 28100930131300 28684564834027 28840428292650 29224967336552 30194278772660 30763123512160 33721116157560 34585760161600 35495911744800 36233134527192 36531209170690 36915748214592 37742848465825 38453904390200 39252562404458 42151395196950 43837451004828 44961488210080 45291418158990 46144685268240 48310846036256 51878640242400 53953785852096 54796813756035 56201860262600 57369129668054 57680856585300 58449934673104 58878843606687 60388557545320 61526247024320 67442232315120 70991823489600 72466269054384 73062418341380 75485696931650 76907808780400 78505124808916 84302790393900 86053694502081 87674902009656 89922976420160 90582836317980 91328022926725 92289370536480 96621692072512 98131406011145 103757280484800 109593627512070 112403720525200 113228545397475 114738259336108 115361713170600 116899869346208 117757687213374 120777115090640 134884464630240 143422824170135 144932538108768 146124836682760 150971393863300 153815617560800 157010249617832 168605580787800 172107389004162 175349804019312 181165672635960 182656045853450 184578741072960 196262812022290 219187255024140 224807441050400 226457090794950 229476518672216 230723426341200 233799738692416 235515374426748 241554230181280 255141655628977 269768929260480 273984068780175 286845648340270 289865076217536 292249673365520 294394218033435 301942787726600 307631235121600 314020499235664 337211161575600 344214778008324 350699608038624 362331345271920 365312091706900 372899342842351 392525624044580 430268472510405 438374510048280 449614882100800 452914181589900 458953037344432 461446852682400 471030748853496 483108460362560 490657030055725 510283311257954 547968137560350 573691296680540 584499346731040 588788436066870 603885575453200 628040998471328 674422323151200 688429556016648 701399216077248 717114120850675 724662690543840 730624183413800 745798685684702 765424966886931 785051248089160 860536945020810 876749020096560 905828363179800 917906074688864 922893705364800 942061497706992 981314060111450 1020566622515908 1095936275120700 1118698028527053 1147382593361080 1168998693462080 1177576872133740 1207771150906400 1256081996942656 1275708278144885 1348844646302400 1376859112033296 1434228241701350 1449325381087680 1461248366827600 1471971090167175 1491597371369404 1530849933773862 1570102496178320 1721073890041620 1753498040193120 1811656726359600 1835812149377728 1864496714211755 1884122995413984 1962628120222900 2041133245031816 2151342362552025 2191872550241400 2237396057054106 2294765186722160 2355153744267480 2415542301812800 2551416556289770 2753718224066592 2868456483402700 2922496733655200 2943942180334350 2983194742738808 3061699867547724 3140204992356640 3442147780083240 3506996080386240 3623313452719200 3728993428423510 3768245990827968 3827124834434655 3925256240445800 4082266490063632 4302684725104050 4383745100482800 4474792114108212 4589530373444320 4710307488534960 4847691456950563 5102833112579540 5507436448133184 5593490142635265 5736912966805400 5844993467310400 5887884360668700 5966389485477616 6123399735095448 6280409984713280 6378541390724425 6884295560166480 7246626905438400 7457986856847020 7654249668869310 7850512480891600 8164532980127264 8605369450208100 8767490200965600 8949584228216424 9179060746888640 9322483571058775 9420614977069920 9695382913901126 10205666225159080 11186980285270530 11473825933610800 11775768721337400 11932778970955232 12246799470190896 12757082781448850 13768591120332960 14543074370851689 14915973713694040 15308499337738620 15701024961783200 16329065960254528 17210738900416200 17534980401931200 17899168456432848 18644967142117550 18841229954139840 19135624172173275 19390765827802252 20411332450318160 22373960570541060 22947651867221600 23551537442674800 23865557941910464 24238457284752815 24493598940381792 25514165562897700 27537182240665920 27967450713176325 29086148741703378 29831947427388080 30616998675477240 31402049923566400 34421477800832400 35798336912865696 37289934284235100 38271248344346550 38781531655604504 40822664900636320 44747921141082120 45895303734443200 47103074885349600 48476914569505630 48987197880763584 51028331125795400 55934901426352650 58172297483406756 59663894854776160 61233997350954480 68842955601664800 71596673825731392 72715371854258445 74579868568470200 76542496688693100 77563063311209008 81645329801272640 89495842282164240 94206149770699200 96953829139011260 102056662251590800 111869802852705300 116344594966813512 119327789709552320 121192286423764075 122467994701908960 137685911203329600 145430743708516890 149159737136940400 153084993377386200 155126126622418016 178991684564328480 193907658278022520 204113324503181600 223739605705410600 232689189933627024 242384572847528150 244935989403817920 290861487417033780 298319474273880800 306169986754772400 310252253244836032 357983369128656960 363576859271292225 387815316556045040 408226649006363200 447479211410821200 465378379867254048 484769145695056300 581722974834067560 596638948547761600 612339973509544800 727153718542584450 775630633112090080 894958422821642400 930756759734508096 969538291390112600 1163445949668135120 1224679947019089600 1454307437085168900 1551261266224180160 1789916845643284800 1939076582780225200 2326891899336270240 2908614874170337800 3878153165560450400 4653783798672540480 5817229748340675600 7756306331120900800 11634459496681351200 23268918993362702400
- Sum of all divisors σ(n): 87081982745141299200
- Sum of proper divisors (its aliquot sum) s(n): 63813063751778596800
- 23268918993362702400 is an abundant number, because the sum of its proper divisors (63813063751778596800) is greater than itself. Its abundance is 40544144758415894400
Bases of 23268918993362702400
- Binary: 101000010111010111100111010001010010110101011100101010000010000002
- Hexadecimal: 0x142EBCE8A5AB95040
- Base-36: 4WSB3DI0JFFPC
Squares and roots of 23268918993362702400
- 23268918993362702400 squared (232689189933627024002) is 541442591119675519577464919430965760000
- 23268918993362702400 cubed (232689189933627024003) is 12598783792320133360754541796710407437390097595469824000000
-
The
square root of 23268918993362702400 is 4823786789.7910560949 -
The
cube root of 23268918993362702400 is 2854907.6821777053
Scales and comparisons
How big is 23268918993362702400?- 23,268,918,993,362,702,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 23,268,918,993,362,702,400 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 23268918993362702400 cubic inches would be around 237909 feet tall.
Recreational maths with 23268918993362702400
- 23268918993362702400 backwards is 00420726339981986232
- The number of decimal digits it has is: 20
- The sum of 23268918993362702400's digits is 84
- More coming soon!
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The information we have on file for 23268918993362702400 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 23268918993362702400, math, Factors of 23268918993362702400, curriculum, school, college, exams, university, Prime factorization of 23268918993362702400, STEM, science, technology, engineering, physics, economics, calculator, twenty-three quintillion, two hundred sixty-eight quadrillion, nine hundred eighteen trillion, nine hundred ninety-three billion, three hundred sixty-two million, seven hundred two thousand, four hundred.