242023206816000
242,023,206,816,000 is an even composite number composed of six prime numbers multiplied together.
242023206816000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 242023206816000:
28 × 32 × 53 × 103 × 1572 × 331
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 103 × 157 × 157 × 331)See below for interesting mathematical facts about the number 242023206816000 from the Numbermatics database.
Names of 242023206816000
- Cardinal: 242023206816000 can be written as Two hundred forty-two trillion, twenty-three billion, two hundred six million, eight hundred sixteen thousand.
Scientific notation
- Scientific notation: 2.42023206816 × 1014
Factors of 242023206816000
Divisors of 242023206816000
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 103 120 125 128 144 150 157 160 180 192 200 206 225 240 250 256 288 300 309 314 320 331 360 375 384 400 412 450 471 480 500 515 576 600 618 628 640 662 720 750 768 785 800 824 900 927 942 960 993 1000 1030 1125 1152 1200 1236 1256 1280 1324 1413 1440 1500 1545 1570 1600 1648 1655 1800 1854 1884 1920 1986 2000 2060 2250 2304 2355 2400 2472 2512 2575 2648 2826 2880 2979 3000 3090 3140 3200 3296 3310 3600 3708 3768 3840 3925 3972 4000 4120 4500 4635 4710 4800 4944 4965 5024 5150 5296 5652 5760 5958 6000 6180 6280 6400 6592 6620 7065 7200 7416 7536 7725 7850 7944 8000 8240 8275 9000 9270 9420 9600 9888 9930 10048 10300 10592 11304 11520 11775 11916 12000 12360 12560 12875 13184 13240 14130 14400 14832 14895 15072 15450 15700 15888 16000 16171 16480 16550 18000 18540 18840 19200 19625 19776 19860 20096 20600 21184 22608 23175 23550 23832 24000 24649 24720 24825 25120 25750 26368 26480 28260 28800 29664 29790 30144 30900 31400 31776 32000 32342 32960 33100 34093 35325 36000 37080 37680 38625 39250 39552 39720 40192 41200 41375 42368 45216 46350 47100 47664 48000 48513 49298 49440 49650 50240 51500 51967 52960 56520 57600 58875 59328 59580 60288 61800 62800 63552 64684 65920 66200 68186 70650 72000 73947 74160 74475 75360 77250 78500 79104 79440 80855 82400 82750 84736 90432 92700 94200 95328 96000 97026 98596 98880 99300 100480 102279 103000 103934 105920 113040 115875 117750 118656 119160 120576 123245 123600 124125 125600 127104 129368 131840 132400 136372 141300 144000 145539 147894 148320 148950 150720 154500 155901 157000 158880 161710 164800 165500 170465 176625 180864 185400 188400 190656 194052 197192 197760 198600 200960 204558 206000 207868 211840 221841 226080 231750 235500 237312 238320 242565 246490 247200 248250 251200 254208 258736 259835 264800 272744 282600 288000 291078 295788 296640 297900 301440 306837 309000 311802 314000 317760 323420 329600 331000 340930 353250 361728 369735 370800 372375 376800 381312 388104 394384 395520 397200 404275 409116 412000 415736 423680 443682 452160 463500 467703 471000 476640 485130 492980 494400 496500 502400 511395 517472 519670 529600 545488 565200 582156 591576 593280 595800 602880 613674 616225 618000 623604 628000 635520 646840 659200 662000 681860 706500 727695 739470 741600 744750 753600 762624 776208 779505 788768 794400 808550 818232 824000 831472 852325 887364 904320 927000 935406 942000 953280 970260 985960 988800 993000 1004800 1022790 1034944 1039340 1059200 1090976 1109205 1130400 1164312 1183152 1186560 1191600 1212825 1227348 1232450 1236000 1247208 1256000 1271040 1293680 1299175 1324000 1363720 1413000 1455390 1478940 1483200 1489500 1507200 1534185 1552416 1559010 1577536 1588800 1617100 1636464 1648000 1662944 1704650 1774728 1808640 1848675 1854000 1870812 1884000 1906560 1940520 1971920 1977600 1986000 2021375 2045580 2069888 2078680 2118400 2181952 2218410 2260800 2328624 2338515 2366304 2383200 2425650 2454696 2464900 2472000 2494416 2512000 2538847 2556975 2587360 2598350 2648000 2727440 2826000 2910780 2957880 2966400 2979000 3014400 3068370 3081125 3104832 3118020 3155072 3177600 3234200 3272928 3296000 3325888 3409300 3549456 3638475 3697350 3708000 3741624 3768000 3813120 3881040 3897525 3943840 3972000 4042750 4091160 4139776 4157360 4261625 4363904 4436820 4521600 4657248 4677030 4732608 4766400 4851300 4909392 4929800 4944000 4988832 5024000 5077694 5113950 5174720 5196700 5296000 5352601 5454880 5546025 5652000 5821560 5915760 5932800 5958000 6064125 6136740 6162250 6209664 6236040 6310144 6355200 6468400 6495875 6545856 6651776 6818600 7098912 7276950 7394700 7416000 7483248 7536000 7616541 7670925 7762080 7795050 7887680 7944000 8085500 8158819 8182320 8314720 8523250 8727808 8873640 9043200 9243375 9314496 9354060 9465216 9532800 9702600 9818784 9859600 9888000 9977664 10155388 10227900 10349440 10393400 10592000 10705202 10909760 11092050 11304000 11643120 11692575 11831520 11916000 12128250 12273480 12324500 12419328 12472080 12694235 12784875 12936800 12991750 13091712 13303552 13637200 14197824 14553900 14789400 14832000 14966496 15072000 15233082 15341850 15524160 15590100 15775360 15888000 16057803 16171000 16317638 16364640 16629440 17046500 17747280 18192375 18486750 18628992 18708120 18930432 19065600 19405200 19487625 19637568 19719200 19955328 20310776 20455800 20698880 20786800 21410404 21819520 22184100 22608000 22849623 23286240 23385150 23663040 23832000 24256500 24476457 24546960 24649000 24944160 25388470 25569750 25873600 25983500 26183424 26763005 27274400 27730125 28395648 29107800 29578800 29664000 29932992 30466164 30683700 31048320 31180200 31550720 31776000 32115606 32342000 32635276 32729280 33258880 34093000 35494560 36384750 36973500 37257984 37416240 38082705 38354625 38810400 38975250 39275136 39438400 39910656 40621552 40794095 40911600 41573600 42820808 43639040 44368200 45216000 45699246 46572480 46770300 47326080 47664000 48173409 48513000 48952914 49093920 49298000 49888320 50776940 51139500 51747200 51967000 53526010 54548800 55460250 56791296 58215600 58462875 59157600 59865984 60932328 61367400 62096640 62360400 63471175 64231212 64684000 65270552 65458560 66517760 68186000 70989120 72769500 73429371 73947000 74832480 76165410 76709250 77620800 77950500 78550272 78876800 80289015 81243104 81588190 81823200 83147200 85641616 88736400 91398492 93144960 93540600 94652160 95328000 96346818 97026000 97905828 98187840 98596000 99776640 101553880 102279000 103494400 103934000 107052020 109097600 110920500 114248115 116431200 116925750 118315200 119731968 121864656 122382285 122734800 124720800 126942350 128462424 129368000 130541104 130917120 133815025 136372000 141978240 145539000 146858742 147894000 149664960 152330820 153418500 155241600 155901000 157753600 160578030 162486208 163176380 163646400 166294400 171283232 177472800 182796984 186289920 187081200 190413525 192693636 194052000 195811656 196375680 197192000 199553280 203107760 203970475 204558000 207868000 214104040 218195200 221841000 228496230 232862400 233851500 236630400 240867045 243729312 244764570 245469600 249441600 253884700 256924848 258736000 261082208 267630050 272744000 283956480 291078000 293717484 295788000 299329920 304661640 306837000 310483200 311802000 317355875 321156060 324972416 326352760 327292800 332588800 342566464 354945600 365593968 367146855 374162400 380827050 385387272 388104000 391623312 392751360 394384000 401445075 406215520 407940950 409116000 415736000 428208080 443682000 456992460 465724800 467703000 473260800 481734090 487458624 489529140 490939200 498883200 507769400 513849696 517472000 522164416 535260100 545488000 571240575 582156000 587434968 591576000 598659840 609323280 611911425 613674000 623604000 634711750 642312120 649944832 652705520 654585600 669075125 685132928 709891200 731187936 734293710 748324800 761654100 770774544 776208000 783246624 788768000 802890150 812431040 815881900 818232000 831472000 840358357 856416160 887364000 913984920 931449600 935406000 952067625 963468180 974917248 979058280 981878400 997766400 1015538800 1019852375 1027699392 1044328832 1070520200 1090976000 1142481150 1164312000 1174869936 1183152000 1204335225 1218646560 1223822850 1227348000 1247208000 1269423500 1284624240 1305411040 1338150250 1370265856 1419782400 1462375872 1468587420 1496649600 1523308200 1541549088 1552416000 1566493248 1605780300 1624862080 1631763800 1636464000 1662944000 1680716714 1712832320 1774728000 1827969840 1835734275 1870812000 1904135250 1926936360 1949834496 1958116560 1963756800 2007225375 2031077600 2039704750 2055398784 2088657664 2141040400 2284962300 2328624000 2349739872 2366304000 2408670450 2437293120 2447645700 2454696000 2494416000 2521075071 2538847000 2569248480 2610822080 2676300500 2856202875 2924751744 2937174840 2993299200 3046616400 3059557125 3083098176 3132986496 3211560600 3249724160 3263527600 3272928000 3361433428 3425664640 3549456000 3655939680 3671468550 3741624000 3808270500 3853872720 3916233120 4014450750 4062155200 4079409500 4110797568 4201791785 4282080800 4569924600 4657248000 4699479744 4817340900 4874586240 4895291400 4909392000 4988832000 5042150142 5077694000 5138496960 5221644160 5352601000 5712405750 5849503488 5874349680 6021676125 6093232800 6119114250 6166196352 6265972992 6423121200 6527055200 6722866856 6851329280 7098912000 7311879360 7342937100 7483248000 7563225213 7616541000 7707745440 7832466240 8028901500 8124310400 8158819000 8403583570 8564161600 9139849200 9178671375 9398959488 9634681800 9749172480 9790582800 9818784000 10084300284 10155388000 10276993920 10443288320 10705202000 11424811500 11748699360 12043352250 12186465600 12238228500 12332392704 12605375355 12846242400 13054110400 13445733712 14623758720 14685874200 14966496000 15126450426 15233082000 15415490880 15664932480 16057803000 16248620800 16317638000 16807167140 17128323200 18279698400 18357342750 18797918976 19269363600 19581165600 20168600568 20310776000 20553987840 21008958925 21410404000 22849623000 23497398720 24086704500 24372931200 24476457000 25210750710 25692484800 26108220800 26891467424 29247517440 29371748400 30252900852 30466164000 30830981760 31329864960 32115606000 32635276000 33614334280 34256646400 36559396800 36714685500 37816126065 38538727200 39162331200 40337201136 40621552000 42017917850 42820808000 45699246000 46994797440 48173409000 48745862400 48952914000 50421501420 51384969600 52216441600 53782934848 58743496800 60505801704 60932328000 61661963520 63026876775 64231212000 65270552000 67228668560 73118793600 73429371000 75632252130 77077454400 78324662400 80674402272 81243104000 84035835700 85641616000 91398492000 93989594880 96346818000 97905828000 100843002840 102769939200 105044794625 107565869696 117486993600 121011603408 121864656000 126053753550 128462424000 130541104000 134457337120 146237587200 146858742000 151264504260 154154908800 156649324800 161348804544 168071671400 171283232000 182796984000 189080630325 192693636000 195811656000 201686005680 210089589250 215131739392 234973987200 242023206816 243729312000 252107507100 256924848000 261082208000 268914674240 293717484000 302529008520 308309817600 315134383875 322697609088 336143342800 365593968000 378161260650 385387272000 391623312000 403372011360 420179178500 469947974400 484046413632 504215014200 513849696000 537829348480 587434968000 605058017040 630268767750 645395218176 672286685600 731187936000 756322521300 770774544000 783246624000 806744022720 840358357000 945403151625 968092827264 1008430028400 1075658696960 1174869936000 1210116034080 1260537535500 1344573371200 1512645042600 1541549088000 1613488045440 1680716714000 1890806303250 1936185654528 2016860056800 2349739872000 2420232068160 2521075071000 2689146742400 3025290085200 3226976090880 3361433428000 3781612606500 4033720113600 4840464136320 5042150142000 5378293484800 6050580170400 6722866856000 7563225213000 8067440227200 9680928272640 10084300284000 12101160340800 13445733712000 15126450426000 16134880454400 20168600568000 24202320681600 26891467424000 30252900852000 40337201136000 48404641363200 60505801704000 80674402272000 121011603408000 242023206816000
- Sum of all divisors σ(n): 887635208573568
- Sum of proper divisors (its aliquot sum) s(n): 645612001757568
- 242023206816000 is an abundant number, because the sum of its proper divisors (645612001757568) is greater than itself. Its abundance is 403588794941568
Bases of 242023206816000
- Binary: 1101110000011110011010110100010100001001000000002
- Hexadecimal: 0xDC1E6B450900
- Base-36: 2DSFXCHFK0
Squares and roots of 242023206816000
- 242023206816000 squared (2420232068160002) is 58575232637500308857856000000
- 242023206816000 cubed (2420232068160003) is 14176565642921050407968759434346496000000000
-
The
square root of 242023206816000 is 15557095.0635393367 -
The
cube root of 242023206816000 is 62318.7887558367
Scales and comparisons
How big is 242023206816000?- 242,023,206,816,000 seconds is equal to 7,695,589 years, 18 weeks, 1 day, 8 hours.
-
To count from 1 to 242,023,206,816,000 would take you about nineteen million, two hundred thirty-eight thousand, nine hundred seventy-three 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 242023206816000 cubic inches would be around 5193.2 feet tall.
Recreational maths with 242023206816000
- 242023206816000 backwards is 000618602320242
- 242023206816000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 242023206816000's digits is 36
- More coming soon!
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The information we have on file for 242023206816000 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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