42123906048000
42,123,906,048,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 42123906048000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1680 divisors.
42123906048000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, six hundred eighty divisors.
Prime factorization of 42123906048000:
213 × 3 × 53 × 72 × 234
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 23 × 23 × 23 × 23)See below for interesting mathematical facts about the number 42123906048000 from the Numbermatics database.
Names of 42123906048000
- Cardinal: 42123906048000 can be written as Forty-two trillion, one hundred twenty-three billion, nine hundred six million, forty-eight thousand.
Scientific notation
- Scientific notation: 4.2123906048 × 1013
Factors of 42123906048000
Divisors of 42123906048000
- Number of divisors d(n): 1680
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 23 24 25 28 30 32 35 40 42 46 48 49 50 56 60 64 69 70 75 80 84 92 96 98 100 105 112 115 120 125 128 138 140 147 150 160 161 168 175 184 192 196 200 210 224 230 240 245 250 256 276 280 294 300 320 322 336 345 350 368 375 384 392 400 420 448 460 480 483 490 500 512 525 529 552 560 575 588 600 640 644 672 690 700 735 736 750 768 784 800 805 840 875 896 920 960 966 980 1000 1024 1050 1058 1104 1120 1127 1150 1176 1200 1225 1280 1288 1344 1380 1400 1470 1472 1500 1536 1568 1587 1600 1610 1680 1725 1750 1792 1840 1920 1932 1960 2000 2048 2100 2116 2208 2240 2254 2300 2352 2400 2415 2450 2560 2576 2625 2645 2688 2760 2800 2875 2940 2944 3000 3072 3136 3174 3200 3220 3360 3381 3450 3500 3584 3675 3680 3703 3840 3864 3920 4000 4025 4096 4200 4232 4416 4480 4508 4600 4704 4800 4830 4900 5120 5152 5250 5290 5376 5520 5600 5635 5750 5880 5888 6000 6125 6144 6272 6348 6400 6440 6720 6762 6900 7000 7168 7350 7360 7406 7680 7728 7840 7935 8000 8050 8192 8400 8464 8625 8832 8960 9016 9200 9408 9600 9660 9800 10240 10304 10500 10580 10752 11040 11109 11200 11270 11500 11760 11776 12000 12075 12167 12250 12288 12544 12696 12800 12880 13225 13440 13524 13800 14000 14336 14700 14720 14812 15360 15456 15680 15870 16000 16100 16800 16905 16928 17250 17664 17920 18032 18375 18400 18515 18816 19200 19320 19600 20125 20480 20608 21000 21160 21504 22080 22218 22400 22540 23000 23520 23552 24000 24150 24334 24500 24576 25088 25392 25600 25760 25921 26450 26880 27048 27600 28000 28175 28672 29400 29440 29624 30720 30912 31360 31740 32000 32200 33600 33810 33856 34500 35328 35840 36064 36501 36750 36800 37030 37632 38400 38640 39200 39675 40250 40960 41216 42000 42320 43008 44160 44436 44800 45080 46000 47040 47104 48000 48300 48668 49000 50176 50784 51200 51520 51842 52900 53760 54096 55200 55545 56000 56350 57344 58800 58880 59248 60375 60835 61440 61824 62720 63480 64000 64400 66125 67200 67620 67712 69000 70656 71680 72128 73002 73500 73600 74060 75264 76800 77280 77763 78400 79350 80500 82432 84000 84525 84640 85169 86016 88320 88872 89600 90160 92000 92575 94080 94208 96000 96600 97336 98000 100352 101568 102400 103040 103684 105800 107520 108192 110400 111090 112000 112700 117600 117760 118496 120750 121670 122880 123648 125440 126960 128000 128800 129605 132250 134400 135240 135424 138000 140875 141312 143360 144256 146004 147000 147200 148120 150528 153600 154560 155526 156800 158700 161000 164864 168000 169050 169280 170338 172032 176640 177744 179200 180320 182505 184000 185150 188160 188416 192000 193200 194672 196000 198375 200704 203136 204800 206080 207368 211600 215040 216384 220800 222180 224000 225400 235200 235520 236992 241500 243340 247296 250880 253920 255507 256000 257600 259210 264500 268800 270480 270848 276000 277725 279841 281750 282624 286720 288512 292008 294000 294400 296240 301056 304175 307200 309120 311052 313600 317400 322000 329728 336000 338100 338560 340676 353280 355488 358400 360640 365010 368000 370300 376320 384000 386400 388815 389344 392000 396750 401408 406272 412160 414736 422625 423200 425845 430080 432768 441600 444360 448000 450800 462875 470400 471040 473984 483000 486680 494592 501760 507840 511014 512000 515200 518420 529000 537600 540960 541696 552000 555450 559682 563500 565248 577024 584016 588000 588800 592480 596183 602112 608350 614400 618240 622104 627200 634800 644000 648025 659456 672000 676200 677120 681352 706560 710976 716800 721280 730020 736000 740600 752640 768000 772800 777630 778688 784000 793500 812544 824320 829472 839523 845250 846400 851690 860160 865536 883200 888720 896000 901600 912525 925750 940800 942080 947968 966000 973360 989184 1003520 1015680 1022028 1024000 1030400 1036840 1058000 1075200 1081920 1083392 1104000 1110900 1119364 1127000 1154048 1168032 1176000 1177600 1184960 1192366 1204224 1216700 1236480 1244208 1254400 1269600 1277535 1288000 1296050 1318912 1344000 1352400 1354240 1362704 1388625 1399205 1413120 1421952 1433600 1442560 1460040 1472000 1481200 1505280 1520875 1536000 1545600 1555260 1557376 1568000 1587000 1625088 1648640 1658944 1679046 1690500 1692800 1703380 1731072 1766400 1777440 1788549 1792000 1803200 1825050 1851500 1881600 1895936 1932000 1944075 1946720 1958887 1978368 2007040 2031360 2044056 2060800 2073680 2116000 2129225 2150400 2163840 2166784 2208000 2221800 2238728 2254000 2308096 2336064 2352000 2355200 2369920 2384732 2433400 2472960 2488416 2508800 2539200 2555070 2576000 2592100 2688000 2704800 2708480 2725408 2777250 2798410 2826240 2843904 2885120 2920080 2944000 2962400 2980915 3010560 3041750 3072000 3091200 3110520 3114752 3136000 3174000 3240125 3250176 3297280 3317888 3358092 3381000 3385600 3406760 3462144 3532800 3554880 3577098 3584000 3606400 3650100 3703000 3763200 3791872 3864000 3888150 3893440 3917774 3956736 4062720 4088112 4121600 4147360 4197615 4232000 4258450 4300800 4327680 4333568 4416000 4443600 4477456 4508000 4562625 4616192 4672128 4704000 4710400 4739840 4769464 4866800 4945920 4976832 5017600 5078400 5110140 5152000 5184200 5376000 5409600 5416960 5450816 5554500 5596820 5687808 5770240 5840160 5876661 5888000 5924800 5961830 6021120 6083500 6182400 6221040 6229504 6272000 6348000 6387675 6480250 6500352 6594560 6635776 6716184 6762000 6771200 6813520 6924288 6996025 7065600 7109760 7154196 7168000 7212800 7300200 7406000 7526400 7583744 7728000 7776300 7786880 7835548 8125440 8176224 8243200 8294720 8395230 8464000 8516900 8655360 8832000 8887200 8942745 8954912 9016000 9125250 9232384 9344256 9408000 9479680 9538928 9720375 9733600 9794435 9891840 9953664 10035200 10156800 10220280 10304000 10368400 10646125 10752000 10819200 10833920 10901632 11109000 11193640 11375616 11540480 11680320 11753322 11776000 11849600 11923660 12167000 12364800 12442080 12459008 12544000 12696000 12775350 12960500 13000704 13271552 13432368 13524000 13542400 13627040 13712209 13848576 13992050 14131200 14219520 14308392 14425600 14600400 14812000 14904575 15052800 15167488 15456000 15552600 15573760 15671096 16250880 16352448 16486400 16589440 16790460 16928000 17033800 17310720 17664000 17774400 17885490 17909824 18032000 18250500 18688512 18816000 18959360 19077856 19440750 19467200 19588870 19783680 19907328 20313600 20440560 20608000 20736800 20988075 21292250 21504000 21638400 21667840 21803264 22218000 22387280 22751232 23080960 23360640 23506644 23552000 23699200 23847320 24334000 24729600 24884160 24918016 25088000 25392000 25550700 25921000 26543104 26864736 27048000 27084800 27254080 27424418 27697152 27984100 28439040 28616784 28851200 29200800 29383305 29624000 29809150 30105600 30334976 30912000 31105200 31147520 31342192 31938375 32501760 32704896 32972800 33178880 33580920 33856000 34067600 34621440 34980125 35328000 35548800 35770980 35819648 36064000 36501000 37377024 37632000 37918720 38155712 38881500 38934400 39177740 39814656 40627200 40881120 41136627 41216000 41473600 41976150 42584500 43276800 43606528 44436000 44713725 44774560 45502464 46161920 46721280 47013288 47398400 47694640 48668000 48972175 49459200 49768320 49836032 50176000 50784000 51101400 51842000 53086208 53729472 54096000 54169600 54508160 54848836 55968200 56878080 57233568 57702400 58401600 58766610 59248000 59618300 61824000 62210400 62295040 62684384 63876750 65003520 65409792 66357760 67161840 67712000 68135200 68561045 69242880 69960250 70656000 71097600 71541960 71639296 72128000 73002000 74522875 74754048 75264000 75837440 76311424 77763000 77868800 78355480 79629312 81254400 81762240 82273254 82432000 82947200 83952300 85169000 86553600 87213056 88872000 89427450 89549120 91004928 93442560 94026576 94796800 95389280 97336000 97944350 98918400 99536640 99672064 101568000 102202800 103684000 104940375 106172416 107458944 108192000 108339200 109016320 109697672 111936400 113756160 114467136 115404800 116803200 117533220 118496000 119236600 123648000 124420800 124590080 125368768 127753500 130819584 132715520 134323680 135424000 136270400 137122090 138485760 139920500 142195200 143083920 143278592 144256000 146004000 146916525 149045750 149508096 150528000 151674880 152622848 155526000 155737600 156710960 159258624 162508800 163524480 164546508 164864000 165894400 167904600 170338000 173107200 174426112 177744000 178854900 179098240 186885120 188053152 189593600 190778560 194672000 195888700 199073280 203136000 204405600 205683135 207368000 209880750 212344832 214917888 216384000 218032640 219395344 223568625 223872800 227512320 228934272 230809600 233606400 235066440 236992000 238473200 244860875 247296000 248841600 249180160 250737536 255507000 261639168 265431040 268647360 270848000 272540800 274244180 279841000 284390400 286167840 286557184 288512000 292008000 293833050 298091500 299016192 305245696 311052000 311475200 313421920 318517248 325017600 327048960 329093016 331788800 335809200 340676000 342805225 346214400 348852224 355488000 357709800 358196480 373770240 376106304 379187200 381557120 389344000 391777400 398146560 406272000 408811200 411366270 414736000 419761500 429835776 432768000 436065280 438790688 447137250 447745600 455024640 457868544 467212800 470132880 473984000 476946400 489721750 494592000 497683200 498360320 501475072 511014000 523278336 530862080 537294720 541696000 545081600 548488360 559682000 568780800 572335680 573114368 577024000 584016000 587666100 596183000 610491392 622104000 622950400 626843840 637034496 654097920 658186032 663577600 671618400 681352000 685610450 692428800 697704448 710976000 715419600 716392960 734582625 747540480 752212608 758374400 763114240 778688000 783554800 796293120 812544000 817622400 822732540 829472000 839523000 859671552 865536000 872130560 877581376 894274500 895491200 915737088 934425600 940265760 947968000 953892800 979443500 995366400 1002950144 1022028000 1028415675 1046556672 1061724160 1074589440 1090163200 1096976720 1119364000 1137561600 1144671360 1146228736 1154048000 1168032000 1175332200 1192366000 1220982784 1244208000 1245900800 1253687680 1308195840 1316372064 1327155200 1343236800 1362704000 1371220900 1421952000 1430839200 1432785920 1469165250 1495080960 1504425216 1526228480 1557376000 1567109600 1592586240 1625088000 1635244800 1645465080 1658944000 1679046000 1714026125 1719343104 1731072000 1744261120 1755162752 1788549000 1790982400 1831474176 1868851200 1880531520 1895936000 1907785600 1958887000 1990732800 2005900288 2044056000 2056831350 2093113344 2149178880 2180326400 2193953440 2238728000 2275123200 2289342720 2292457472 2336064000 2350664400 2384732000 2441965568 2488416000 2491801600 2507375360 2616391680 2632744128 2654310400 2686473600 2725408000 2742441800 2843904000 2861678400 2865571840 2938330500 3008850432 3052456960 3114752000 3134219200 3185172480 3270489600 3290930160 3317888000 3358092000 3428052250 3438686208 3462144000 3488522240 3510325504 3577098000 3581964800 3662948352 3737702400 3761063040 3791872000 3815571200 3917774000 3981465600 4011800576 4088112000 4113662700 4298357760 4360652800 4387906880 4477456000 4578685440 4672128000 4701328800 4769464000 4883931136 4976832000 5014750720 5142078375 5232783360 5265488256 5308620800 5372947200 5450816000 5484883600 5687808000 5723356800 5731143680 5876661000 6017700864 6104913920 6229504000 6268438400 6540979200 6581860320 6635776000 6716184000 6856104500 6877372416 7020651008 7154196000 7163929600 7325896704 7475404800 7522126080 7631142400 7835548000 7962931200 8023601152 8176224000 8227325400 8596715520 8721305600 8775813760 8954912000 9157370880 9344256000 9402657600 9538928000 9953664000 10029501440 10284156750 10465566720 10530976512 10745894400 10901632000 10969767200 11375616000 11446713600 11462287360 11753322000 12035401728 12209827840 12459008000 12536876800 13081958400 13163720640 13271552000 13432368000 13712209000 14041302016 14308392000 14327859200 14651793408 15044252160 15262284800 15671096000 15925862400 16047202304 16352448000 16454650800 17193431040 17442611200 17551627520 17909824000 18314741760 18688512000 18805315200 19077856000 19907328000 20059002880 20568313500 21061953024 21491788800 21803264000 21939534400 22893427200 23506644000 24070803456 24419655680 25073753600 26163916800 26327441280 26543104000 26864736000 27424418000 28082604032 28616784000 28655718400 30088504320 30524569600 31342192000 32704896000 32909301600 34386862080 35103255040 35819648000 36629483520 37377024000 37610630400 38155712000 39814656000 40118005760 41136627000 42123906048 42983577600 43606528000 43879068800 45786854400 47013288000 48141606912 50147507200 52327833600 52654882560 53729472000 54848836000 56165208064 57233568000 57311436800 60177008640 61049139200 62684384000 65409792000 65818603200 70206510080 71639296000 73258967040 75221260800 76311424000 79629312000 80236011520 82273254000 84247812096 85967155200 87213056000 87758137600 91573708800 94026576000 100295014400 105309765120 107458944000 109697672000 112330416128 114467136000 120354017280 122098278400 125368768000 130819584000 131637206400 140413020160 143278592000 150442521600 152622848000 164546508000 168495624192 171934310400 175516275200 183147417600 188053152000 200590028800 210619530240 214917888000 219395344000 228934272000 240708034560 250737536000 261639168000 263274412800 280826040320 286557184000 300885043200 305245696000 329093016000 336991248384 351032550400 366294835200 376106304000 401180057600 421239060480 429835776000 438790688000 457868544000 501475072000 526548825600 561652080640 601770086400 610491392000 658186032000 702065100800 752212608000 842478120960 859671552000 877581376000 915737088000 1002950144000 1053097651200 1203540172800 1316372064000 1404130201600 1504425216000 1684956241920 1755162752000 1831474176000 2005900288000 2106195302400 2632744128000 2808260403200 3008850432000 3510325504000 4212390604800 5265488256000 6017700864000 7020651008000 8424781209600 10530976512000 14041302016000 21061953024000 42123906048000
- Sum of all divisors σ(n): 170478379463184
- Sum of proper divisors (its aliquot sum) s(n): 128354473415184
- 42123906048000 is an abundant number, because the sum of its proper divisors (128354473415184) is greater than itself. Its abundance is 86230567367184
Bases of 42123906048000
- Binary: 10011001001111101111000111010011100000000000002
- Hexadecimal: 0x264FBC74E000
- Base-36: EXJGE1XXC
Squares and roots of 42123906048000
- 42123906048000 squared (421239060480002) is 1774423460740730978304000000
- 42123906048000 cubed (421239060480003) is 74745647149609568216920822382592000000000
-
The
square root of 42123906048000 is 6490293.2174132163 -
The
cube root of 42123906048000 is 34794.4154864891
Scales and comparisons
How big is 42123906048000?- 42,123,906,048,000 seconds is equal to 1,339,409 years, 47 weeks, 3 days, 21 hours, 20 minutes.
-
To count from 1 to 42,123,906,048,000 would take you about three million, three hundred forty-eight thousand, five hundred twenty-four 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 42123906048000 cubic inches would be around 2899.5 feet tall.
Recreational maths with 42123906048000
- 42123906048000 backwards is 00084060932124
- The number of decimal digits it has is: 14
- The sum of 42123906048000's digits is 39
- More coming soon!
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Cite this page
MLA style:
"Number 42123906048000 - Facts about the integer". Numbermatics.com. 2024. Web. 9 May 2024.
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Numbermatics. (2024). Number 42123906048000 - Facts about the integer. Retrieved 9 May 2024, from https://numbermatics.com/n/42123906048000/
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The information we have on file for 42123906048000 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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