242664306416000
242,664,306,416,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 242664306416000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1536 divisors.
242664306416000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 242664306416000:
27 × 53 × 75 × 293 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 29 × 29 × 29 × 37)See below for interesting mathematical facts about the number 242664306416000 from the Numbermatics database.
Names of 242664306416000
- Cardinal: 242664306416000 can be written as Two hundred forty-two trillion, six hundred sixty-four billion, three hundred six million, four hundred sixteen thousand.
Scientific notation
- Scientific notation: 2.42664306416 × 1014
Factors of 242664306416000
Divisors of 242664306416000
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 29 32 35 37 40 49 50 56 58 64 70 74 80 98 100 112 116 125 128 140 145 148 160 175 185 196 200 203 224 232 245 250 259 280 290 296 320 343 350 370 392 400 406 448 464 490 500 518 560 580 592 640 686 700 725 740 784 800 812 841 875 896 925 928 980 1000 1015 1036 1073 1120 1160 1184 1225 1295 1372 1400 1421 1450 1480 1568 1600 1624 1682 1715 1750 1813 1850 1856 1960 2000 2030 2072 2146 2240 2320 2368 2401 2450 2590 2744 2800 2842 2900 2960 3136 3200 3248 3364 3430 3500 3625 3626 3700 3712 3920 4000 4060 4144 4205 4292 4480 4625 4640 4736 4802 4900 5075 5180 5365 5488 5600 5684 5800 5887 5920 6125 6272 6475 6496 6728 6860 7000 7105 7250 7252 7400 7511 7840 8000 8120 8288 8410 8575 8584 9065 9250 9280 9604 9800 9947 10150 10360 10730 10976 11200 11368 11600 11774 11840 12005 12250 12691 12950 12992 13456 13720 14000 14210 14500 14504 14800 15022 15680 16000 16240 16576 16807 16820 17150 17168 18130 18500 18560 19208 19600 19894 20300 20720 21025 21460 21952 22400 22736 23200 23548 23680 24010 24389 24500 25375 25382 25900 25984 26825 26912 27440 28000 28420 29000 29008 29435 29600 30044 31117 31360 32375 32480 33152 33614 33640 34300 34336 35525 36260 37000 37555 38416 39200 39788 40600 41209 41440 42050 42875 42920 43904 45325 45472 46400 47096 48020 48778 49000 49735 50750 50764 51800 52577 53650 53824 54880 56000 56840 58000 58016 58870 59200 60025 60088 62234 63455 64750 64960 67228 67280 68600 68672 69629 71050 72520 74000 75110 76832 78400 79576 81200 82418 82880 84035 84100 85750 85840 88837 90650 90944 92800 94192 96040 97556 98000 99470 101500 101528 103600 105125 105154 107300 107648 109760 112000 113680 116000 116032 117740 118400 120050 120176 121945 124468 126910 129500 129920 134125 134456 134560 137200 137344 139258 142100 145040 147175 148000 150220 153664 155585 156800 159152 162400 164836 165760 168070 168200 170723 171500 171680 177625 177674 181300 181888 187775 188384 192080 195112 196000 198940 203000 203056 206045 207200 210250 210308 214600 217819 219520 226625 227360 232000 232064 235480 240100 240352 243890 248675 248936 253820 259000 262885 268250 268912 269120 274400 278516 284200 288463 290080 294350 296000 300125 300440 307328 311170 317275 318304 324800 329672 336140 336400 341446 343000 343360 348145 355250 355348 362600 368039 375550 376768 384160 390224 392000 397880 406000 406112 412090 414400 420175 420500 420616 429200 435638 444185 453250 454720 464000 470960 480200 480704 487403 487780 497350 497872 507640 518000 525770 536500 537824 538240 548800 557032 568400 576926 580160 588700 592000 600250 600880 609725 621859 622340 634550 636608 649600 659344 672280 672800 682892 686000 686720 696290 710500 710696 725200 735875 736078 751100 753536 768320 777925 780448 784000 795760 812000 812224 824180 828800 840350 841000 841232 853615 858400 871276 888370 902393 906500 909440 938875 941920 960400 961408 974806 975560 994700 995744 1015280 1030225 1036000 1051540 1073000 1075648 1089095 1097600 1114064 1136800 1153852 1160320 1177400 1195061 1200500 1201760 1219450 1243375 1243718 1244680 1269100 1273216 1314425 1318688 1344560 1345600 1365784 1372000 1392580 1421000 1421392 1442315 1450400 1471750 1472156 1502200 1524733 1536640 1555850 1560896 1586375 1591520 1624000 1624448 1648360 1680700 1682000 1682464 1707230 1716800 1740725 1742552 1776740 1804786 1813000 1840195 1877750 1883840 1920800 1949612 1951120 1989400 1991488 2019241 2030560 2060450 2072000 2100875 2103080 2146000 2151296 2178190 2220925 2228128 2273600 2307704 2354800 2390122 2401000 2403520 2437015 2438900 2486750 2487436 2489360 2538200 2576273 2628850 2637376 2689120 2691200 2731568 2744000 2785160 2842000 2842784 2884630 2900800 2943500 2944312 3004400 3048625 3049466 3109295 3111700 3121792 3172750 3183040 3248000 3296720 3361400 3364000 3364928 3414460 3433600 3481450 3485104 3553480 3609572 3626000 3680390 3755500 3767680 3841600 3889625 3899224 3902240 3978800 3982976 4038482 4061120 4120900 4144000 4201750 4206160 4268075 4292000 4356380 4441850 4456256 4511965 4547200 4615408 4709600 4780244 4802000 4807040 4874030 4877800 4973500 4974872 4978720 5076400 5151125 5152546 5257700 5274752 5378240 5445475 5463136 5488000 5570320 5684000 5685568 5769260 5801600 5887000 5888624 5975305 6008800 6097250 6098932 6218590 6223400 6316751 6345500 6366080 6572125 6593440 6722800 6728000 6729856 6828920 6962900 6970208 7106960 7211575 7219144 7252000 7360780 7511000 7623665 7683200 7779250 7798448 7804480 7957600 8076964 8122240 8241800 8365427 8403500 8412320 8536150 8584000 8703625 8712760 8883700 8912512 9023930 9200975 9230816 9419200 9560488 9604000 9748060 9755600 9947000 9949744 9957440 10096205 10152800 10302250 10305092 10515400 10673131 10756480 10890950 10926272 11104625 11140640 11368000 11371136 11538520 11774000 11777248 11950610 12017600 12185075 12194500 12197864 12437180 12446800 12633502 12691000 12881365 13144250 13186880 13445600 13456000 13657840 13925800 13940416 14134687 14213920 14423150 14438288 14504000 14721560 15022000 15247330 15546475 15558500 15596896 15608960 15915200 16153928 16483600 16730854 16807000 16824640 17072300 17168000 17407250 17425520 17767400 18033911 18047860 18401950 18461632 18838400 19120976 19208000 19496120 19511200 19894000 19899488 19914880 20192410 20305600 20604500 20610184 21030800 21340375 21346262 21781900 21852544 22209250 22281280 22559825 22736000 23077040 23548000 23554496 23901220 24035200 24370150 24389000 24395728 24874360 24893600 25267004 25382000 25762730 26288500 26373760 26891200 27227375 27315680 27851600 27880832 28269374 28427840 28846300 28876576 29008000 29443120 29876525 30044000 30494660 31092950 31117000 31193792 31583755 31830400 32307856 32967200 33461708 33614000 33649280 34144600 34814500 34851040 35534800 36057875 36067822 36095720 36803900 36923264 38118325 38241952 38416000 38992240 39022400 39788000 39798976 40384820 40611200 41209000 41220368 41827135 42061600 42680750 42692524 43563800 44217257 44418500 44562560 45119650 46004875 46154080 47096000 47108992 47802440 48740300 48778000 48791456 49748720 49787200 50481025 50534008 50764000 51525460 52577000 53365655 53782400 54454750 54631360 55703200 56538748 56855680 57692600 57753152 58557989 58886240 59753050 60088000 60925375 60989320 62185900 62234000 62387584 63167510 64406825 64615712 65934400 66923416 67228000 68289200 69629000 69702080 70673435 71069600 72115750 72135644 72191440 73607800 74711917 76236650 76483904 77732375 77984480 78044800 79576000 79597952 80769640 82418000 82440736 83654270 84123200 85361500 85385048 87127600 88434514 88837000 90169555 90239300 92009750 92308160 94192000 95604880 97480600 97556000 97582912 99497440 99574400 100962050 101068016 101528000 103050920 105154000 106731310 108909500 109262720 111406400 112799125 113077496 115385200 115506304 117115978 117772480 119506100 120176000 121850750 121978640 124371800 124468000 126335020 128813650 129231424 131868800 133846832 134456000 136578400 139258000 139404160 141346870 142139200 144231500 144271288 144382880 147215600 149382625 149423834 152473300 152967808 155464750 155968960 157918775 159152000 161539280 164836000 164881472 167308540 168246400 170723000 170770096 174255200 176869028 177674000 180339110 180478600 184019500 184616320 190591625 191209760 194961200 195112000 195165824 198994880 201924100 202136032 203056000 206101840 209135675 210308000 213462620 217819000 221086285 222812800 225598250 226154992 230770400 234231956 235544960 239012200 243701500 243957280 248743600 248936000 252405125 252670040 257627300 258462848 266828275 267693664 268912000 273156800 278516000 282693740 284278400 288463000 288542576 288765760 292789945 294431200 298765250 298847668 304946600 309520799 310929500 311937920 315837550 322034125 323078560 329672000 329762944 334617080 341446000 341540192 348510400 353367175 353738056 355348000 360678220 360957200 368039000 373559585 381183250 382419520 389922400 390224000 397989760 403848200 404272064 409905923 412203680 418271350 420616000 426925240 435638000 442172570 450847775 451196500 452309984 461540800 468463912 478024400 487403000 487914560 497487200 497872000 504810250 505340080 515254600 522983419 533656550 535387328 546313600 557032000 565387480 576926000 577085152 577531520 585579890 588862400 597530500 597695336 609893200 619041598 621859000 631675100 644068250 646157120 659344000 669234160 682892000 683080384 697020800 706734350 707476112 710696000 721356440 721914400 736078000 747119170 762366500 764839040 779844800 789593875 807696400 808544128 819811846 824407360 836542700 841232000 853850480 871276000 884345140 901695550 902393000 904619968 923081600 936927824 956048800 974806000 975829120 994974400 1009620500 1010680160 1030509200 1045678375 1045966838 1067313100 1070774656 1105431425 1114064000 1130774960 1153852000 1154170304 1171159780 1177724800 1195061000 1195390672 1219786400 1238083196 1243718000 1263350200 1288136500 1292314240 1334141375 1338468320 1365784000 1366160768 1413468700 1414952224 1421392000 1442712880 1443828800 1463949725 1472156000 1494238340 1524733000 1547603995 1559689600 1579187750 1615392800 1639623692 1648814720 1673085400 1707700960 1742552000 1766835875 1768690280 1803391100 1804786000 1809239936 1867797925 1873855648 1912097600 1949612000 1989948800 2019241000 2021360320 2049529615 2061018400 2091356750 2091933676 2134626200 2166645593 2210862850 2254238875 2261549920 2307704000 2308340608 2342319560 2390122000 2390781344 2439572800 2476166392 2487436000 2526700400 2576273000 2614917095 2668282750 2676936640 2731568000 2826937400 2829904448 2885425760 2887657600 2927899450 2944312000 2988476680 3049466000 3095207990 3158375500 3230785600 3279247384 3346170800 3415401920 3485104000 3533671750 3537380560 3606782200 3609572000 3735595850 3747711296 3824195200 3899224000 4038482000 4042720640 4099059230 4122036800 4182713500 4183867352 4269252400 4333291186 4421725700 4508477750 4523099840 4615408000 4684639120 4780244000 4781562688 4879145600 4952332784 4974872000 5053400800 5152546000 5229834190 5336565500 5353873280 5527157125 5653874800 5659808896 5770851520 5855798900 5888624000 5976953360 6098932000 6190415980 6316751000 6461571200 6558494768 6692341600 6830803840 7067343500 7074761120 7213564400 7219144000 7319748625 7471191700 7495422592 7738019975 7798448000 8076964000 8198118460 8244073600 8365427000 8367734704 8538504800 8666582372 8843451400 9016955500 9046199680 9338989625 9369278240 9560488000 9563125376 9904665568 9949744000 10106801600 10247648075 10305092000 10459668380 10673131000 10833227965 11054314250 11307749600 11541703040 11711597800 11953906720 12197864000 12380831960 12633502000 13074585475 13116989536 13384683200 14134687000 14149522240 14427128800 14438288000 14639497250 14942383400 15166519151 15476039950 16153928000 16396236920 16730854000 16735469408 17077009600 17333164744 17686902800 18033911000 18677979250 18738556480 19120976000 19809331136 20213603200 20495296150 20610184000 20919336760 21346262000 21666455930 22108628500 22615499200 23423195600 23907813440 24395728000 24761663920 25267004000 26149170950 26233979072 26769366400 28269374000 28299044480 28854257600 29278994500 29884766800 30333038302 30952079900 32307856000 32792473840 33461708000 33470938816 34154019200 34666329488 35373805600 36067822000 37355958500 37477112960 38690099875 39618662272 40990592300 41220368000 41838673520 42692524000 43332911860 44217257000 45230998400 46846391200 47815626880 49523327840 50534008000 51238240375 52298341900 52467958144 54166139825 56538748000 57708515200 58557989000 59769533600 60666076604 61904159800 65372927375 65584947680 66923416000 66941877632 69332658976 70747611200 72135644000 74711917000 75832595755 77380199750 81981184600 83677347040 85385048000 86665823720 88434514000 93692782400 99046655680 101068016000 102476480750 104596683800 108332279650 113077496000 117115978000 119539067200 121332153208 123808319600 130745854750 131169895360 133846832000 138665317952 141495222400 144271288000 149423834000 151665191510 154760399500 163962369200 167354694080 170770096000 173331647440 176869028000 187385564800 198093311360 204952961500 209193367600 216664559300 226154992000 234231956000 239078134400 242664306416 247616639200 261491709500 262339790720 270830699125 277330635904 288542576000 298847668000 303330383020 309520799000 327924738400 334709388160 346663294880 353738056000 379162978775 409905923000 418386735200 433329118600 468463912000 485328612832 495233278400 522983419000 541661398250 597695336000 606660766040 619041598000 655849476800 693326589760 707476112000 758325957550 819811846000 836773470400 866658237200 936927824000 970657225664 990466556800 1045966838000 1083322796500 1195390672000 1213321532080 1238083196000 1311698953600 1386653179520 1516651915100 1639623692000 1673546940800 1733316474400 1895814893875 1941314451328 2091933676000 2166645593000 2426643064160 2476166392000 3033303830200 3279247384000 3466632948800 3791629787750 4183867352000 4333291186000 4853286128320 4952332784000 6066607660400 6558494768000 6933265897600 7583259575500 8367734704000 8666582372000 9706572256640 12133215320800 15166519151000 17333164744000 24266430641600 30333038302000 34666329488000 48532861283200 60666076604000 121332153208000 242664306416000
- Sum of all divisors σ(n): 748712389651200
- Sum of proper divisors (its aliquot sum) s(n): 506048083235200
- 242664306416000 is an abundant number, because the sum of its proper divisors (506048083235200) is greater than itself. Its abundance is 263383776819200
Bases of 242664306416000
- Binary: 1101110010110011101011111100100010011001100000002
- Hexadecimal: 0xDCB3AFC89980
- Base-36: 2E0MFYMSU8
Squares and roots of 242664306416000
- 242664306416000 squared (2426643064160002) is 58885965608358338765056000000
- 242664306416000 cubed (2426643064160003) is 14289522001988705768812280217399296000000000
-
The
square root of 242664306416000 is 15577686.1701601885 -
The
cube root of 242664306416000 is 62373.7660255559
Scales and comparisons
How big is 242664306416000?- 242,664,306,416,000 seconds is equal to 7,715,974 years, 17 weeks, 2 days, 14 hours, 13 minutes, 20 seconds.
-
To count from 1 to 242,664,306,416,000 would take you about nineteen million, two hundred eighty-nine thousand, nine hundred thirty-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 242664306416000 cubic inches would be around 5197.8 feet tall.
Recreational maths with 242664306416000
- 242664306416000 backwards is 000614603466242
- The number of decimal digits it has is: 15
- The sum of 242664306416000's digits is 44
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 242664306416000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
APA style:
Numbermatics. (2024). Number 242664306416000 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/242664306416000/
Chicago style:
Numbermatics. 2024. "Number 242664306416000 - Facts about the integer". https://numbermatics.com/n/242664306416000/
The information we have on file for 242664306416000 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 242664306416000, math, Factors of 242664306416000, curriculum, school, college, exams, university, Prime factorization of 242664306416000, STEM, science, technology, engineering, physics, economics, calculator, two hundred forty-two trillion, six hundred sixty-four billion, three hundred six million, four hundred sixteen thousand.