242948689872000
242,948,689,872,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 242948689872000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1536 divisors.
242948689872000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 242948689872000:
27 × 3 × 53 × 72 × 31 × 941 × 3541
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 31 × 941 × 3541)See below for interesting mathematical facts about the number 242948689872000 from the Numbermatics database.
Names of 242948689872000
- Cardinal: 242948689872000 can be written as Two hundred forty-two trillion, nine hundred forty-eight billion, six hundred eighty-nine million, eight hundred seventy-two thousand.
Scientific notation
- Scientific notation: 2.42948689872 × 1014
Factors of 242948689872000
Divisors of 242948689872000
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 31 32 35 40 42 48 49 50 56 60 62 64 70 75 80 84 93 96 98 100 105 112 120 124 125 128 140 147 150 155 160 168 175 186 192 196 200 210 217 224 240 245 248 250 280 294 300 310 320 336 350 372 375 384 392 400 420 434 448 465 480 490 496 500 525 560 588 600 620 640 651 672 700 735 744 750 775 784 800 840 868 875 896 930 941 960 980 992 1000 1050 1085 1120 1176 1200 1225 1240 1302 1344 1400 1470 1488 1500 1519 1550 1568 1600 1680 1736 1750 1860 1882 1920 1960 1984 2000 2100 2170 2240 2325 2352 2400 2450 2480 2604 2625 2688 2800 2823 2940 2976 3000 3038 3100 3136 3200 3255 3360 3472 3500 3541 3675 3720 3764 3875 3920 3968 4000 4200 4340 4480 4557 4650 4704 4705 4800 4900 4960 5208 5250 5425 5600 5646 5880 5952 6000 6076 6125 6200 6272 6510 6587 6720 6944 7000 7082 7350 7440 7528 7595 7750 7840 8000 8400 8680 9114 9300 9408 9410 9600 9800 9920 10416 10500 10623 10850 11200 11292 11625 11760 11904 12000 12152 12250 12400 13020 13174 13440 13888 14000 14115 14164 14700 14880 15056 15190 15500 15680 16000 16275 16800 17360 17705 18228 18375 18600 18816 18820 19600 19761 19840 20832 21000 21246 21700 22400 22584 22785 23250 23520 23525 24000 24304 24500 24787 24800 26040 26348 27125 27776 28000 28230 28328 29171 29400 29760 30112 30380 31000 31360 32550 32935 33600 34720 35410 36456 36750 37200 37640 37975 39200 39522 41664 42000 42492 43400 45168 45570 46109 46500 47040 47050 48000 48608 49000 49574 49600 52080 52696 53115 54250 56000 56460 56656 58342 58800 59520 60224 60760 62000 65100 65870 67200 69440 70575 70820 72912 73500 74361 74400 75280 75950 78400 79044 81375 83328 84000 84984 86800 87513 88525 90336 91140 92218 93000 94080 94100 97216 98000 98805 99148 99200 104160 105392 106230 108500 109771 112000 112920 113312 113925 116684 117600 117625 120448 121520 123935 124000 130200 131740 138327 138880 141150 141640 145824 145855 147000 148722 148800 150560 151900 156800 158088 162750 164675 168000 169968 173509 173600 175026 177050 180672 182280 184436 186000 188200 189875 194432 196000 197610 198296 204197 208320 210784 212460 217000 219542 225840 226624 227850 230545 233368 235200 235250 243040 247870 248000 260400 263480 265575 276654 282300 283280 291648 291710 294000 297444 297600 301120 303800 316176 325500 329313 329350 336000 339936 347018 347200 350052 352875 354100 361344 364560 368872 371805 372000 376400 379750 392000 395220 396592 408394 416640 421568 424920 434000 437565 439084 442625 451680 453248 455700 461090 466736 470400 470500 486080 494025 495740 496000 520527 520800 526960 531150 548855 553308 564600 566560 569625 583296 583420 588000 594888 602240 607600 612591 619675 632352 651000 658626 658700 679872 691635 694036 694400 700104 705750 708200 729120 729275 737744 743610 744000 752800 759500 768397 784000 790440 793184 816788 823375 843136 849840 867545 868000 875130 878168 885250 903360 911400 922180 933472 941000 972160 988050 991480 1020985 1041054 1041600 1053920 1062300 1097710 1106616 1129200 1133120 1139250 1152725 1166840 1176000 1189776 1215200 1225182 1239350 1264704 1302000 1317252 1317400 1327875 1359744 1383270 1388072 1400208 1411500 1416400 1429379 1458240 1458550 1475488 1487220 1488000 1505600 1519000 1536794 1580880 1586368 1633576 1646565 1646750 1699680 1735090 1736000 1750260 1756336 1770500 1806720 1822800 1844360 1859025 1866944 1882000 1976100 1982960 2041970 2082108 2083200 2107840 2124600 2187825 2195420 2213232 2258400 2266240 2278500 2305191 2305450 2333680 2352000 2379552 2430400 2450364 2470125 2478700 2529408 2602635 2604000 2634504 2634800 2655750 2744275 2766540 2776144 2800416 2823000 2832800 2858758 2916480 2917100 2950976 2974440 3011200 3038000 3062955 3073588 3098375 3161760 3172736 3267152 3293130 3293500 3332081 3399360 3458175 3470180 3472000 3500520 3512672 3541000 3645600 3646375 3688720 3718050 3733888 3764000 3841985 3952200 3965920 4083940 4164216 4215680 4249200 4288137 4337725 4375650 4390840 4426464 4516800 4557000 4610382 4610900 4667360 4759104 4860800 4900728 4940250 4957400 5104925 5205270 5208000 5269008 5269600 5311500 5378779 5488550 5533080 5552288 5600832 5646000 5665600 5717516 5763625 5834200 5901952 5948880 6076000 6125910 6147176 6196750 6323520 6534304 6586260 6587000 6664162 6798720 6916350 6940360 7001040 7025344 7082000 7146895 7291200 7292750 7377440 7436100 7528000 7683970 7904400 7931840 8167880 8232825 8328432 8498400 8576274 8675450 8751300 8781680 8852928 9033600 9114000 9220764 9221800 9295125 9334720 9518208 9801456 9880500 9914800 9996243 10209850 10410540 10416000 10538016 10539200 10623000 10757558 10939125 10977100 11066160 11104576 11201664 11292000 11331200 11435032 11525955 11527250 11668400 11897760 12152000 12251820 12294352 12393500 12647040 13013175 13068608 13172520 13174000 13328324 13721375 13832700 13880720 14002080 14050688 14164000 14293790 14582400 14585500 14754880 14872200 15056000 15314775 15367940 15808800 15863680 16136337 16335760 16465650 16656864 16660405 16996800 17152548 17290875 17350900 17502600 17563360 17705856 18228000 18441528 18443600 18590250 18669440 19209925 19602912 19761000 19829600 19992486 20419700 20821080 21076032 21078400 21246000 21440685 21515116 21688625 21878250 21954200 22132320 22209152 22584000 22870064 23051910 23054500 23324567 23336800 23795520 24304000 24503640 24588704 24787000 25524625 26026350 26137216 26345040 26348000 26656648 26893895 27442750 27665400 27761440 28004160 28328000 28587580 29171000 29509760 29744400 30629550 30735880 31617600 32272674 32671520 32931300 33313728 33320810 33993600 34305096 34581750 34701800 35005200 35126720 35734475 36456000 36883056 36887200 37180500 38419850 39205824 39522000 39659200 39984972 40839400 41164125 41642160 42152064 42492000 42881370 43030232 43377250 43756500 43908400 44264640 45168000 45740128 46103820 46109000 46649134 46673600 47591040 49007280 49177408 49574000 49981215 51049250 52052700 52690080 52696000 53313296 53787790 54885500 55330800 55522880 56008320 56656000 57175160 57629775 58342000 59488800 61259100 61471760 63235200 64545348 65065875 65343040 65862600 66627456 66641620 68610192 69163500 69403600 69973701 70010400 70253440 71468950 72912000 73766112 73774400 74361000 76573875 76839700 78411648 79044000 79318400 79969944 80681685 81678800 82328250 83284320 83302025 84984000 85762740 86060464 86754500 87513000 87816800 88529280 91480256 92207640 92218000 93298268 93347200 96049625 98014560 98354816 99148000 99962430 102098500 103294511 104105400 105380160 105392000 106626592 107203425 107575580 109771000 110661600 111045760 114350320 115259550 116622835 116684000 118977600 122518200 122943520 129090696 130131750 130686080 131725200 133283240 134469475 137220384 138327000 138807200 139947402 140020800 142937900 147532224 147548800 148722000 153147750 153679400 158088000 159939888 161363370 163271969 163357600 164656500 166568640 166604050 169968000 171525480 172120928 173509000 175026000 175633600 178672375 182960512 184415280 184436000 186596536 192099250 196029120 198296000 199924860 204197000 206589022 208210800 210760320 213253184 214406850 215151160 219542000 221323200 228700640 230519100 233245670 233368000 237955200 245036400 245887040 249906075 258181392 260263500 263450400 266566480 268938950 274440768 276654000 277614400 279894804 280041600 285875800 288148875 295064448 297444000 306295500 307358800 309883533 316176000 319879776 322726740 326543938 326715200 329313000 333137280 333208100 343050960 344241856 347018000 349868505 350052000 351267200 357344750 368830560 368872000 373193072 384198500 392058240 396592000 399849720 403408425 408394000 413178044 416421600 416510125 426506368 428813700 430302320 439084000 442646400 457401280 461038200 466491340 466736000 489815907 490072800 491774080 499812150 516362784 516472555 520527000 526900800 533132960 536017125 537877900 548881536 553308000 555228800 559789608 571751600 576297750 583114175 594888000 612591000 614717600 619767066 639759552 645453480 653087876 653430400 658626000 666416200 672347375 686101920 688483712 694036000 699737010 700104000 714689500 723061577 737661120 737744000 746386144 768397000 799699440 806816850 816359845 816788000 826356088 832843200 833020250 857627400 860604640 878168000 914802560 922076400 932982680 979631814 980145600 999624300 1032725568 1032945110 1041054000 1053801600 1066265920 1072034250 1075755800 1106616000 1119579216 1143503200 1152595500 1166228350 1189776000 1225182000 1229435200 1239534132 1249530375 1279519104 1290906960 1306175752 1317252000 1332832400 1344694750 1372203840 1388072000 1399474020 1400208000 1429379000 1446123154 1475322240 1492772288 1536794000 1549417665 1599398880 1613633700 1632719690 1633576000 1652712176 1665686400 1666040500 1715254800 1721209280 1749342525 1756336000 1844152800 1865965360 1959263628 1960291200 1999248600 2017042125 2065451136 2065890220 2082108000 2132531840 2144068500 2151511600 2169184731 2213232000 2239158432 2287006400 2305191000 2332456700 2449079535 2450364000 2458870400 2479068264 2499060750 2581813920 2582362775 2612351504 2634504000 2665664800 2689389500 2744407680 2776144000 2798948040 2858758000 2892246308 2915570875 2985544576 3073588000 3098835330 3198797760 3227267400 3265439380 3267152000 3305424352 3332081000 3430509600 3442418560 3498685050 3615307885 3688305600 3731930720 3918527256 3998497200 4034084250 4081799225 4131780440 4164216000 4288137000 4303023200 4338369462 4478316864 4574012800 4610382000 4664913400 4898159070 4900728000 4958136528 4998121500 5061431039 5163627840 5164725550 5224703008 5269008000 5331329600 5378779000 5597896080 5717516000 5784492616 5831141750 6147176000 6197670660 6397595520 6454534800 6530878760 6610848704 6664162000 6861019200 6997370100 7230615770 7376611200 7463861440 7747088325 7837054512 7996994400 8068168500 8163598450 8263560880 8328432000 8576274000 8606046400 8676738924 8746712625 8956633728 9220764000 9329826800 9796318140 9801456000 9916273056 9996243000 10122862078 10327255680 10329451100 10449406016 10662659200 10757558000 10845923655 11195792160 11435032000 11568985232 11662283500 12245397675 12294352000 12395341320 12909069600 12911813875 13061757520 13221697408 13328324000 13722038400 13994740200 14461231540 14927722880 15184293117 15494176650 15674109024 15993988800 16136337000 16327196900 16527121760 17152548000 17212092800 17353477848 17493425250 18076539425 18441528000 18659653600 19592636280 19832546112 19992486000 20245724156 20408996125 20658902200 20898812032 21515116000 21691847310 22391584320 22870064000 23137970464 23324567000 24490795350 24790682640 25307155195 25818139200 25823627750 26123515040 26656648000 27989480400 28922463080 30368586234 30988353300 31348218048 31987977600 32272674000 32654393800 33054243520 34305096000 34706955696 34986850500 36153078850 36883056000 37319307200 38735441625 39185272560 39665092224 39984972000 40491448312 40817992250 41317804400 43030232000 43383694620 44783168640 46275940928 46649134000 48981590700 49581365280 50614310390 51636278400 51647255500 52247030080 53313296000 54229618275 55978960800 57844926160 60737172468 61226988375 61976706600 62696436096 64545348000 65308787600 66108487040 68610192000 69413911392 69973701000 72306157700 74638614400 75921465585 77470883250 78370545120 79969944000 80982896624 81635984500 82635608800 86060464000 86767389240 90382697125 92551881856 93298268000 97963181400 99162730560 101228620780 103294511000 104494060160 108459236550 111957921600 115689852320 121474344936 122453976750 123953413200 126535775975 129090696000 130617575200 138827822784 139947402000 144612315400 151842931170 154941766500 156741090240 159939888000 161965793248 163271969000 165271217600 173534778480 180765394250 186596536000 195926362800 198325461120 202457241560 206589022000 216918473100 223915843200 231379704640 242948689872 244907953500 247906826400 253071551950 258181392000 261235150400 271148091375 277655645568 279894804000 289224630800 303685862340 309883533000 313482180480 323931586496 326543938000 330542435200 347069556960 361530788500 373193072000 379607327925 391852725600 404914483120 413178044000 433836946200 462759409280 485897379744 489815907000 495813652800 506143103900 522470300800 542296182750 559789608000 578449261600 607371724680 619767066000 632678879875 647863172992 653087876000 694139113920 723061577000 759214655850 783705451200 809828966240 826356088000 867673892400 971794759488 979631814000 991627305600 1012286207800 1084592365500 1119579216000 1156898523200 1214743449360 1239534132000 1265357759750 1306175752000 1388278227840 1446123154000 1518429311700 1567410902400 1619657932480 1652712176000 1735347784800 1898036639625 1943589518976 1959263628000 2024572415600 2169184731000 2313797046400 2429486898720 2479068264000 2530715519500 2612351504000 2892246308000 3036858623400 3239315864960 3470695569600 3796073279250 3918527256000 4049144831200 4338369462000 4858973797440 4958136528000 5061431039000 5784492616000 6073717246800 6941391139200 7592146558500 7837054512000 8098289662400 8676738924000 9717947594880 10122862078000 11568985232000 12147434493600 15184293117000 16196579324800 17353477848000 20245724156000 24294868987200 30368586234000 34706955696000 40491448312000 48589737974400 60737172468000 80982896624000 121474344936000 242948689872000
- Sum of all divisors σ(n): 968387252152320
- Sum of proper divisors (its aliquot sum) s(n): 725438562280320
- 242948689872000 is an abundant number, because the sum of its proper divisors (725438562280320) is greater than itself. Its abundance is 482489872408320
Bases of 242948689872000
- Binary: 1101110011110101111001100101101111000100100000002
- Hexadecimal: 0xDCF5E65BC480
- Base-36: 2E493577UO
Squares and roots of 242948689872000
- 242948689872000 squared (2429486898720002) is 59024065910521235376384000000
- 242948689872000 cubed (2429486898720003) is 14339819483879710915327431608782848000000000
-
The
square root of 242948689872000 is 15586811.4081103835 -
The
cube root of 242948689872000 is 62398.1222273529
Scales and comparisons
How big is 242948689872000?- 242,948,689,872,000 seconds is equal to 7,725,016 years, 44 weeks, 18 hours, 40 minutes.
-
To count from 1 to 242,948,689,872,000 would take you about nineteen million, three hundred twelve thousand, five hundred forty-two 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 242948689872000 cubic inches would be around 5199.8 feet tall.
Recreational maths with 242948689872000
- 242948689872000 backwards is 000278986849242
- The number of decimal digits it has is: 15
- The sum of 242948689872000's digits is 69
- 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 242948689872000 - Facts about the integer". Numbermatics.com. 2024. Web. 2 May 2024.
APA style:
Numbermatics. (2024). Number 242948689872000 - Facts about the integer. Retrieved 2 May 2024, from https://numbermatics.com/n/242948689872000/
Chicago style:
Numbermatics. 2024. "Number 242948689872000 - Facts about the integer". https://numbermatics.com/n/242948689872000/
The information we have on file for 242948689872000 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 242948689872000, math, Factors of 242948689872000, curriculum, school, college, exams, university, Prime factorization of 242948689872000, STEM, science, technology, engineering, physics, economics, calculator, two hundred forty-two trillion, nine hundred forty-eight billion, six hundred eighty-nine million, eight hundred seventy-two thousand.