23468468688000
23,468,468,688,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 23468468688000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2048 divisors.
23468468688000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 23468468688000:
27 × 33 × 53 × 7 × 53 × 181 × 809
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 53 × 181 × 809)See below for interesting mathematical facts about the number 23468468688000 from the Numbermatics database.
Names of 23468468688000
- Cardinal: 23468468688000 can be written as Twenty-three trillion, four hundred sixty-eight billion, four hundred sixty-eight million, six hundred eighty-eight thousand.
Scientific notation
- Scientific notation: 2.3468468688 × 1013
Factors of 23468468688000
Divisors of 23468468688000
- Number of divisors d(n): 2048
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 53 54 56 60 63 64 70 72 75 80 84 90 96 100 105 106 108 112 120 125 126 128 135 140 144 150 159 160 168 175 180 181 189 192 200 210 212 216 224 225 240 250 252 265 270 280 288 300 315 318 320 336 350 360 362 371 375 378 384 400 420 424 432 448 450 477 480 500 504 525 530 540 543 560 576 600 630 636 640 672 675 700 720 724 742 750 756 795 800 809 840 848 864 875 896 900 905 945 954 960 1000 1008 1050 1060 1080 1086 1113 1120 1125 1152 1200 1260 1267 1272 1325 1344 1350 1400 1431 1440 1448 1484 1500 1512 1575 1590 1600 1618 1629 1680 1696 1728 1750 1800 1810 1855 1890 1908 1920 2000 2016 2100 2120 2160 2172 2226 2240 2250 2385 2400 2427 2520 2534 2544 2625 2650 2688 2700 2715 2800 2862 2880 2896 2968 3000 3024 3150 3180 3200 3236 3258 3339 3360 3375 3392 3456 3500 3600 3620 3710 3780 3801 3816 3975 4000 4032 4045 4200 4240 4320 4344 4452 4480 4500 4525 4725 4770 4800 4854 4887 5040 5068 5088 5250 5300 5400 5430 5565 5600 5663 5724 5760 5792 5936 6000 6048 6300 6335 6360 6472 6516 6625 6678 6720 6750 6784 7000 7155 7200 7240 7281 7420 7560 7602 7632 7875 7950 8000 8064 8090 8145 8400 8480 8640 8688 8904 9000 9050 9275 9450 9540 9593 9600 9708 9774 10017 10080 10136 10176 10500 10600 10800 10860 11130 11200 11326 11403 11448 11584 11872 11925 12000 12096 12135 12600 12670 12720 12944 13032 13250 13356 13440 13500 13575 14000 14310 14400 14480 14562 14840 15120 15204 15264 15750 15900 16000 16180 16290 16695 16800 16960 16989 17280 17376 17808 18000 18100 18550 18900 19005 19080 19186 19416 19548 19875 20034 20160 20225 20272 20352 21000 21200 21600 21720 21843 22260 22400 22625 22652 22806 22896 23168 23625 23744 23850 24000 24192 24270 24435 25200 25340 25440 25888 26064 26500 26712 27000 27150 27825 28000 28315 28620 28779 28800 28960 29124 29680 30240 30408 30528 31500 31675 31800 32360 32580 33390 33600 33920 33978 34209 34752 35616 35775 36000 36200 36405 37100 37800 38010 38160 38372 38832 39096 39750 40068 40320 40450 40544 40725 42000 42400 42877 43200 43440 43686 44520 45250 45304 45612 45792 46375 47250 47488 47700 47965 48000 48540 48870 50085 50400 50680 50880 50967 51776 52128 53000 53424 54000 54300 55650 56000 56630 57015 57240 57558 57920 58248 59360 59625 60480 60675 60816 61056 63000 63350 63600 64720 65160 66780 67151 67200 67875 67956 68418 69504 71232 71550 72000 72400 72810 74200 75600 76020 76320 76744 77664 78192 79500 80136 80900 81088 81450 83475 84000 84800 84945 85754 86337 86400 86880 87372 89040 90500 90608 91224 91584 92750 94500 95025 95400 95930 97080 97740 100170 100800 101125 101360 101760 101934 103552 104256 106000 106848 108000 108600 109215 111300 112000 113260 114030 114480 115116 115840 116496 118720 119250 120960 121350 121632 122175 126000 126700 127200 128631 129440 130320 133560 134302 135750 135912 136836 139125 141575 142464 143100 143895 144000 144800 145620 146429 148400 151200 152040 152640 152901 153488 155328 156384 158375 159000 160272 161800 162176 162900 166950 168000 169600 169890 171045 171508 172674 173760 174744 178080 178875 181000 181216 182025 182448 183168 185500 189000 190050 190800 191860 194160 195480 200340 201453 201600 202250 202720 203625 203868 208512 212000 213696 214385 216000 217200 218430 222600 226520 228060 228960 230232 232992 237440 238500 239825 242700 243264 244350 250425 252000 253400 254400 254835 257262 258880 259011 260640 267120 268604 271500 271824 273672 278250 283150 285075 286200 287790 289600 291240 292858 296800 300139 302400 303375 304080 305280 305802 306976 310656 312768 316750 318000 320544 323600 325800 333900 335755 336000 339780 342090 343016 345348 347520 349488 356160 357750 362000 362432 364050 364896 371000 378000 380100 381600 383720 385893 388320 390960 400680 402906 404500 405440 407250 407736 417375 424000 424725 427392 428770 431685 432000 434400 436860 439287 445200 453040 456120 457920 460464 465984 475125 477000 479650 485400 486528 488700 500850 504000 506800 508800 509670 514524 517760 518022 521280 534240 537208 543000 543648 546075 547344 556500 566300 570150 572400 575580 579200 582480 585716 593600 600278 604359 604800 606750 608160 610875 611604 613952 625536 633500 636000 641088 643155 647200 651600 667800 671510 679560 684180 686032 690696 698976 707875 712320 715500 719475 724000 724864 728100 729792 732145 742000 756000 760200 763200 764505 767440 771786 776640 781920 801360 805812 809000 810880 814500 815472 834750 848000 849450 855225 857540 863370 868800 873720 878574 890400 900417 906080 910125 912240 915840 920928 931968 950250 954000 959300 970800 977400 1001700 1007265 1008000 1013600 1019340 1025003 1029048 1036044 1042560 1068480 1071925 1074416 1086000 1087296 1092150 1094688 1113000 1132600 1140300 1144800 1151160 1157679 1164960 1171432 1187200 1199125 1200556 1208718 1213500 1216320 1221750 1223208 1227904 1252125 1267000 1272000 1274175 1282176 1286310 1294400 1295055 1303200 1317861 1335600 1343020 1359120 1368360 1372064 1381392 1397952 1415750 1425375 1431000 1438950 1448000 1456200 1459584 1464290 1484000 1500695 1512000 1520400 1526400 1529010 1534880 1543572 1553280 1563840 1602720 1611624 1618000 1629000 1630944 1669500 1678775 1698900 1710450 1715080 1726740 1737600 1747440 1757148 1780800 1800834 1812160 1813077 1820250 1824480 1841856 1900500 1908000 1918600 1929465 1941600 1954800 2003400 2014530 2027200 2038680 2050006 2058096 2072088 2123625 2136960 2143850 2148832 2158425 2172000 2174592 2184300 2189376 2196435 2226000 2265200 2280600 2289600 2302320 2315358 2329920 2342864 2398250 2401112 2417436 2427000 2432640 2443500 2446416 2504250 2534000 2544000 2548350 2572620 2588800 2590110 2606400 2635722 2671200 2686040 2701251 2718240 2730375 2736720 2744128 2762784 2795904 2831500 2850750 2862000 2877900 2896000 2912400 2928580 2968000 3001390 3021795 3024000 3040800 3058020 3069760 3075009 3087144 3127680 3205440 3215775 3223248 3236000 3258000 3261888 3339000 3357550 3397800 3420900 3430160 3453480 3494880 3514296 3561600 3597375 3601668 3624320 3626154 3640500 3648960 3660725 3683712 3801000 3816000 3822525 3837200 3858930 3883200 3909600 3953583 4006800 4029060 4054400 4077360 4100012 4116192 4144176 4247250 4276125 4287700 4297664 4316850 4344000 4368600 4378752 4392870 4452000 4502085 4530400 4561200 4579200 4604640 4630716 4659840 4685728 4796500 4802224 4834872 4854000 4887000 4892832 5008500 5036325 5068000 5096700 5125015 5145240 5180220 5212800 5271444 5342400 5359625 5372080 5402502 5436480 5460750 5473440 5488256 5525568 5663000 5701500 5724000 5755800 5788395 5824800 5857160 5936000 6002780 6043590 6081600 6116040 6139520 6150018 6174288 6370875 6410880 6431550 6446496 6472000 6475275 6516000 6523776 6589305 6678000 6715100 6795600 6841800 6860320 6906960 6989760 7028592 7194750 7203336 7252308 7281000 7297920 7321450 7503475 7602000 7632000 7645050 7674400 7717860 7760737 7766400 7819200 7907166 8013600 8058120 8103753 8154720 8200024 8232384 8288352 8393875 8494500 8552250 8575400 8595328 8633700 8688000 8737200 8785740 8904000 9004170 9060800 9065385 9122400 9209280 9225027 9261432 9371456 9593000 9604448 9647325 9669744 9708000 9774000 9785664 10017000 10072650 10136000 10193400 10250030 10290480 10360440 10542888 10684800 10719250 10744160 10792125 10805004 10872960 10921500 10946880 10982175 11051136 11326000 11403000 11448000 11511600 11576790 11649600 11714320 12005560 12087180 12163200 12232080 12300036 12348576 12741750 12863100 12892992 12944000 12950550 13032000 13178610 13356000 13430200 13506255 13591200 13683600 13720640 13813920 13979520 14057184 14389500 14406672 14504616 14562000 14642900 15006950 15108975 15204000 15290100 15348800 15375045 15435720 15521474 15638400 15814332 16027200 16078875 16116240 16207506 16309440 16400048 16464768 16576704 16787750 16989000 17104500 17150800 17267400 17474400 17571480 17808000 18008340 18121600 18130770 18244800 18303625 18418560 18450054 18522864 18742912 19112625 19186000 19208896 19294650 19339488 19416000 19548000 19571328 19767915 20034000 20145300 20272000 20386800 20500060 20580960 20720880 21085776 21438500 21488320 21584250 21610008 21843000 21893760 21964350 22510425 22652000 22806000 22896000 23023200 23153580 23282211 23299200 23428640 24011120 24174360 24464160 24600072 24697152 25181625 25483500 25625075 25726200 25785984 25901100 26064000 26357220 26712000 26860400 27012510 27182400 27367200 27441280 27627840 27675081 28114368 28779000 28813344 28941975 29009232 29124000 29285800 30013900 30217950 30408000 30580200 30697600 30750090 30871440 31042948 31628664 32054400 32157750 32232480 32376375 32415012 32618880 32800096 32946525 33153408 33575500 33978000 34209000 34301600 34534800 34948800 35142960 36016680 36261540 36489600 36607250 36900108 37045728 37517375 38225250 38372000 38417792 38589300 38678976 38803685 38832000 39096000 39535830 40068000 40290600 40518765 40773600 41000120 41161920 41441760 42171552 42877000 42976640 43168500 43220016 43686000 43928700 45020850 45304000 45326925 45612000 46046400 46125135 46307160 46564422 46857280 48022240 48236625 48348720 48928320 49200144 49394304 50363250 50967000 51250150 51452400 51802200 52714440 53424000 53720800 54025020 54325159 54364800 54734400 54910875 55255680 55350162 56228736 57558000 57626688 57883950 58018464 58248000 58571600 60027800 60435900 60816000 61160400 61500180 61742880 62085896 63257328 64315500 64464960 64752750 64830024 65600192 65893050 67151000 67531275 67956000 68418000 68603200 69069600 69846633 69897600 70285920 72033360 72523080 73214500 73800216 74091456 75034750 75544875 76450500 76744000 76875225 77178600 77357952 77607370 78192000 79071660 80136000 80581200 81037530 81547200 82000240 82323840 82883520 84343104 85754000 86337000 86440032 87372000 87857400 90041700 90608000 90653850 91224000 92092800 92250270 92614320 93128844 93714560 96044480 96473250 96697440 97856640 98400288 98839575 100726500 101934000 102500300 102904800 103604400 105428880 107441600 108050040 108650318 109468800 109821750 110700324 112552125 115116000 115253376 115767900 116036928 116411055 116496000 117143200 120055600 120871800 122320800 123000360 123485760 124171792 126514656 128125375 128631000 128929920 129505500 129660048 131200384 131786100 134302000 135062550 135912000 136836000 137206400 138139200 138375405 139693266 140571840 144066720 144709875 145046160 146429000 147600432 148182912 150069500 151089750 152901000 153488000 153750450 154357200 155214740 158143320 160272000 161162400 162075060 162975477 163094400 164000480 164732625 165767040 168686208 171508000 172674000 172880064 174744000 175714800 180083400 181307700 182448000 184500540 185228640 186257688 192088960 192946500 193394880 194018425 196800576 197679150 201453000 202593825 203868000 205000600 205809600 207208800 209539899 210857760 214883200 216100080 217300636 219643500 221400648 225104250 226634625 230232000 230625675 231535800 232073856 232822110 234286400 240111200 241743600 244641600 246000720 246971520 248343584 253029312 256250750 257262000 259011000 259320096 263572200 268604000 270125100 271625795 271824000 273672000 276278400 276750810 279386532 281143680 288133440 289419750 290092320 292858000 295200864 300139000 302179500 305802000 307500900 308714400 310429480 316286640 322324800 324150120 325950954 328000960 329465250 337656375 343016000 345348000 345760128 349233165 349488000 351429600 360166800 362615400 369001080 370457280 372515376 384376125 385893000 386789760 388036850 393601152 395358300 402906000 405187650 407736000 410001200 411619200 414417600 419079798 421715520 432200160 434601272 439287000 442801296 450208500 453269250 460464000 461251350 463071600 465644220 468572800 480222400 483487200 488926431 489283200 492001440 494197875 496687168 506058624 512501500 514524000 518022000 518640192 527144400 537208000 540250200 543251590 547344000 553501620 558773064 576266880 578839500 580184640 582055275 585716000 590401728 600278000 604359000 611604000 615001800 617428800 620858960 632573280 644649600 648300240 651901908 656001920 658930500 675312750 686032000 690696000 691877025 698466330 702859200 720333600 725230800 738002160 740914560 745030752 768752250 771786000 776073700 790716600 805812000 810375300 814877385 815472000 820002400 828835200 838159596 843431040 864400320 869202544 878574000 885602592 900417000 906538500 922502700 926143200 931288440 960444800 966974400 970092125 977852862 984002880 988395750 993374336 1012969125 1025003000 1029048000 1036044000 1037280384 1047699495 1054288800 1074416000 1080500400 1086503180 1107003240 1117546128 1153128375 1157679000 1160369280 1164110550 1171432000 1180803456 1200556000 1208718000 1223208000 1230003600 1234857600 1241717920 1265146560 1296600480 1303803816 1317861000 1350625500 1358128975 1381392000 1383754050 1396932660 1405718400 1440667200 1450461600 1466779293 1476004320 1490061504 1537504500 1543572000 1552147400 1581433200 1611624000 1620750600 1629754770 1640004800 1676319192 1728800640 1738405088 1746165825 1757148000 1771205184 1800834000 1813077000 1845005400 1852286400 1862576880 1933948800 1940184250 1955705724 1968005760 1976791500 2025938250 2050006000 2058096000 2072088000 2095398990 2108577600 2161000800 2173006360 2214006480 2235092256 2306256750 2315358000 2328221100 2342864000 2401112000 2417436000 2444632155 2446416000 2460007200 2483435840 2530293120 2593200960 2607607632 2635722000 2701251000 2716257950 2767508100 2793865320 2881334400 2900923200 2910276375 2933558586 2952008640 2980123008 3075009000 3087144000 3104294800 3162866400 3223248000 3241501200 3259509540 3280009600 3352638384 3459385125 3476810176 3492331650 3514296000 3542410368 3601668000 3626154000 3690010800 3704572800 3725153760 3880368500 3911411448 3953583000 4051876500 4074386925 4100012000 4144176000 4190797980 4217155200 4322001600 4346012720 4428012960 4470184512 4612513500 4630716000 4656442200 4802224000 4834872000 4889264310 4920014400 4966871680 5186401920 5215215264 5238497475 5271444000 5402502000 5432515900 5535016200 5587730640 5801846400 5820552750 5867117172 5904017280 6150018000 6174288000 6208589600 6325732800 6483002400 6519019080 6705276768 6790644875 6918770250 6953620352 6984663300 7028592000 7203336000 7252308000 7333896465 7380021600 7450307520 7760737000 7822822896 7907166000 8103753000 8148773850 8200024000 8381595960 8644003200 8692025440 8730829125 8856025920 8940369024 9225027000 9261432000 9312884400 9669744000 9778528620 9840028800 10430430528 10476994950 10542888000 10805004000 10865031800 11070032400 11175461280 11641105500 11734234344 12223160775 12300036000 12417179200 12651465600 12966004800 13038038160 13410553536 13581289750 13837540500 13969326600 14406672000 14504616000 14667792930 14760043200 14900615040 15521474000 15645645792 15814332000 16207506000 16297547700 16400048000 16763191920 17384050880 17461658250 17712051840 18450054000 18522864000 18625768800 19557057240 20371934625 20860861056 20953989900 21085776000 21610008000 21730063600 22140064800 22350922560 23282211000 23468468688 24446321550 24600072000 24834358400 25932009600 26076076320 26192487375 26821107072 27162579500 27675081000 27938653200 29009232000 29335585860 29520086400 31042948000 31291291584 31628664000 32415012000 32595095400 33526383840 34768101760 34923316500 36669482325 36900108000 37251537600 39114114480 40743869250 41907979800 43220016000 43460127200 44280129600 44701845120 46564422000 46936937376 48892643100 49200144000 52152152640 52384974750 54325159000 55350162000 55877306400 58671171720 61115803875 62085896000 62582583168 63257328000 64830024000 65190190800 67052767680 69846633000 73338964650 73800216000 74503075200 78228228960 81487738500 83815959600 86920254400 88560259200 93128844000 93873874752 97785286200 104304305280 104769949500 108650318000 110700324000 111754612800 117342343440 122231607750 124171792000 129660048000 130380381600 134105535360 139693266000 146677929300 147600432000 156456457920 162975477000 167631919200 173840508800 183347411625 186257688000 187747749504 195570572400 209539899000 217300636000 221400648000 223509225600 234684686880 244463215500 260760763200 279386532000 293355858600 312912915840 325950954000 335263838400 366694823250 372515376000 391141144800 419079798000 434601272000 442801296000 469369373760 488926431000 521521526400 558773064000 586711717200 651901908000 670527676800 733389646500 782282289600 838159596000 869202544000 938738747520 977852862000 1117546128000 1173423434400 1303803816000 1466779293000 1564564579200 1676319192000 1955705724000 2346846868800 2607607632000 2933558586000 3352638384000 3911411448000 4693693737600 5867117172000 7822822896000 11734234344000 23468468688000
- Sum of all divisors σ(n): 101336272128000
- Sum of proper divisors (its aliquot sum) s(n): 77867803440000
- 23468468688000 is an abundant number, because the sum of its proper divisors (77867803440000) is greater than itself. Its abundance is 54399334752000
Bases of 23468468688000
- Binary: 1010101011000001011011011110101010100100000002
- Hexadecimal: 0x15582DBD5480
- Base-36: 8BH9KBHC0
Squares and roots of 23468468688000
- 23468468688000 squared (234684686880002) is 550769022559636441344000000
- 23468468688000 cubed (234684686880003) is 12925705560261193436345412636672000000000
-
The
square root of 23468468688000 is 4844426.5592534273 -
The
cube root of 23468468688000 is 28630.4550667927
Scales and comparisons
How big is 23468468688000?- 23,468,468,688,000 seconds is equal to 746,224 years, 37 weeks.
-
To count from 1 to 23,468,468,688,000 would take you about one million, eight hundred sixty-five thousand, five hundred sixty-one 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 23468468688000 cubic inches would be around 2385.9 feet tall.
Recreational maths with 23468468688000
- 23468468688000 backwards is 00088686486432
- 23468468688000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 23468468688000's digits is 63
- More coming soon!
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Cite this page
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"Number 23468468688000 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
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Numbermatics. (2024). Number 23468468688000 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/23468468688000/
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The information we have on file for 23468468688000 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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