2142527766142400
2,142,527,766,142,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 2142527766142400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1008 divisors.
2142527766142400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 2142527766142400:
26 × 52 × 7 × 132 × 17 × 127 × 524287
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 13 × 13 × 17 × 127 × 524287)See below for interesting mathematical facts about the number 2142527766142400 from the Numbermatics database.
Names of 2142527766142400
- Cardinal: 2142527766142400 can be written as Two quadrillion, one hundred forty-two trillion, five hundred twenty-seven billion, seven hundred sixty-six million, one hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 2.1425277661424 × 1015
Factors of 2142527766142400
Divisors of 2142527766142400
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 17 20 25 26 28 32 34 35 40 50 52 56 64 65 68 70 80 85 91 100 104 112 119 127 130 136 140 160 169 170 175 182 200 208 221 224 238 254 260 272 280 320 325 338 340 350 364 400 416 425 442 448 455 476 508 520 544 560 595 635 650 676 680 700 728 800 832 845 850 884 889 910 952 1016 1040 1088 1105 1120 1183 1190 1270 1300 1352 1360 1400 1456 1547 1600 1651 1690 1700 1768 1778 1820 1904 2032 2080 2159 2210 2240 2275 2366 2380 2540 2600 2704 2720 2800 2873 2912 2975 3094 3175 3302 3380 3400 3536 3556 3640 3808 4064 4160 4225 4318 4420 4445 4550 4732 4760 5080 5200 5408 5440 5525 5600 5746 5824 5915 5950 6188 6350 6604 6760 6800 7072 7112 7280 7616 7735 8128 8255 8450 8636 8840 8890 9100 9464 9520 10160 10400 10795 10816 11050 11200 11492 11557 11830 11900 12376 12700 13208 13520 13600 14144 14224 14365 14560 15113 15470 16510 16900 17272 17680 17780 18200 18928 19040 20111 20320 20800 21463 21590 22100 22225 22984 23114 23660 23800 24752 25400 26416 27040 27200 28067 28448 28730 29120 29575 30226 30940 33020 33800 34544 35360 35560 36400 37856 38080 38675 40222 40640 41275 42926 43180 44200 44450 45968 46228 47320 47600 49504 50800 52832 53975 54080 56134 56896 57460 57785 59150 60452 61880 66040 67600 69088 70720 71120 71825 72800 75565 75712 77350 80444 82550 85852 86360 88400 88900 91936 92456 94640 95200 99008 100555 101600 105664 107315 107950 112268 114920 115570 118300 120904 123760 132080 135200 138176 140335 142240 143650 145600 150241 151130 154700 160888 165100 171704 172720 176800 177800 183872 184912 189280 190400 196469 201110 203200 214630 215900 224536 229840 231140 236600 241808 247520 264160 270400 280670 284480 287300 288925 300482 302260 309400 321776 330200 343408 345440 353600 355600 364871 369824 377825 378560 392938 402220 429260 431800 449072 459680 462280 473200 483616 495040 502775 524287 528320 536575 561340 574600 577850 600964 604520 618800 643552 660400 686816 690880 701675 711200 729742 739648 751205 755650 785876 804440 858520 863600 898144 919360 924560 946400 967232 982345 1005550 1048574 1073150 1122680 1149200 1155700 1201928 1209040 1237600 1287104 1320800 1373632 1403350 1422400 1459484 1502410 1511300 1571752 1608880 1717040 1727200 1796288 1824355 1849120 1892800 1964690 2011100 2097148 2146300 2245360 2298400 2311400 2403856 2418080 2475200 2554097 2621435 2641600 2806700 2918968 3004820 3022600 3143504 3217760 3434080 3454400 3648710 3670009 3698240 3756025 3929380 4022200 4194296 4292600 4490720 4596800 4622800 4807712 4836160 4911725 5108194 5242870 5613400 5837936 6009640 6045200 6287008 6435520 6815731 6868160 7297420 7340018 7512050 7858760 8044400 8388592 8585200 8912879 8981440 9121775 9245600 9615424 9823450 10216388 10485740 11226800 11675872 12019280 12090400 12574016 12770485 13107175 13631462 14594840 14680036 15024100 15717520 16088800 16777184 17170400 17825758 18243550 18350045 18491200 19646900 20432776 20971480 22453600 23351744 24038560 24180800 25540970 26214350 27262924 29189680 29360072 30048200 31435040 32177600 33554368 34078655 34340800 35651516 36487100 36700090 39293800 40865552 41942960 44564395 44907200 47710117 48077120 51081940 52428700 54525848 58379360 58720144 60096400 62390153 62870080 63852425 66584449 68157310 71303032 72974200 73400180 78587600 81731104 83885920 88604503 89128790 91750225 95420234 102163880 104857400 109051696 115867427 116758720 117440288 120192800 124780306 127704850 133168898 136314620 142606064 145948400 146800360 157175200 163462208 167771840 170393275 177209006 178257580 183500450 190840468 204327760 209714800 218103392 222821975 231734854 234880576 238550585 240385600 249560612 255409700 266337796 272629240 285212128 291896800 293600720 311950765 314350400 332922245 340786550 354418012 356515160 367000900 381680936 408655520 419429600 436206784 443022515 445643950 463469708 466091143 477101170 499121224 510819400 532675592 545258480 570424256 579337135 583793600 587201440 620231521 623901530 665844490 681573100 708836024 713030320 734001800 763361872 811071989 817311040 838859200 865597837 886045030 891287900 926939416 932182286 954202340 998242448 1021638800 1065351184 1090516960 1131935633 1158674270 1174402880 1192752925 1240463042 1247803060 1331688980 1363146200 1417672048 1426060640 1468003600 1506276551 1526723744 1559753825 1622143978 1664611225 1731195674 1772090060 1782575800 1853878832 1864364572 1908404680 1996484896 2043277600 2130702368 2181033920 2215112575 2263871266 2317348540 2330455715 2385505850 2480926084 2495606120 2663377960 2726292400 2835344096 2852121280 2896685675 2936007200 3012553102 3053447488 3101157605 3119507650 3244287956 3329222450 3462391348 3544180120 3565151600 3707757664 3728729144 3816809360 3992969792 4055359945 4086555200 4261404736 4327989185 4430225150 4527742532 4634697080 4660911430 4771011700 4961852168 4991212240 5326755920 5452584800 5659678165 5670688192 5793371350 5872014400 6025106204 6059184859 6202315210 6239015300 6488575912 6658444900 6924782696 7088360240 7130303200 7415515328 7457458288 7531382755 7633618720 7923549431 8110719890 8655978370 8860450300 9055485064 9269394160 9321822860 9542023400 9923704336 9982424480 10543935857 10653511840 10905169600 11252771881 11319356330 11586742700 11652278575 12050212408 12118369718 12404630420 12478030600 12977151824 13316889800 13849565392 14176720480 14260606400 14715163229 14914916576 15062765510 15267237440 15505788025 15847098862 16221439780 17311956740 17720900600 18110970128 18538788320 18643645720 19084046800 19847408672 19964848960 20276799725 21087871714 21307023680 21639945925 22505543762 22638712660 23173485400 23304557150 24100424816 24236739436 24809260840 24956061200 25954303648 26633779600 27699130784 28298390825 28353440960 29430326458 29829833152 30125531020 30295924295 31011576050 31694197724 32442879560 34623913480 35441801200 36221940256 37077576640 37287291440 37656913775 38168093600 39617747155 39694817344 40553599450 42175743428 43279891850 45011087524 45277425320 46346970800 46609114300 48200849632 48473478872 49618521680 49912122400 51908607296 52719679285 53267559200 55398261568 56263859405 56596781650 58860652916 60251062040 60591848590 62023152100 63388395448 64885759120 69247826960 70883602400 72443880512 73575816145 74574582880 75313827550 76336187200 78769403167 79235494310 81107198900 84351486856 86559783700 90022175048 90554850640 92693941600 93218228600 96401699264 96946957744 99237043360 99824244800 103006142603 105439358570 106535118400 112527718810 113193563300 117721305832 120502124080 121183697180 124046304200 126776790896 129771518240 138495653920 141767204800 147151632290 149149165760 150627655100 151479621475 157538806334 158470988620 162214397800 168702973712 173119567400 180044350096 181109701280 185387883200 186436457200 191297121977 193893915488 198088735775 198474086720 206012285206 210878717140 225055437620 226387126600 235442611664 241004248160 242367394360 248092608400 253553581792 259543036480 263598396425 276991307840 281319297025 294303264580 301255310200 302959242950 315077612668 316941977240 324428795600 337405947424 346239134800 360088700192 362219402560 367879080725 372872914400 382594243954 387787830976 393847015835 396177471550 412024570412 421757434280 450110875240 452774253200 470885223328 482008496320 484734788720 496185216800 507107163584 515030713015 527196792850 562638594050 588606529160 602510620400 605918485900 630155225336 633883954480 648857591200 674811894848 692478269600 720177400384 735758161450 745745828800 765188487908 787694031670 792354943100 824049140824 843514868560 900221750480 905548506400 941770446656 956485609885 969469577440 992370433600 1030061426030 1054393585700 1125277188100 1177213058320 1205021240800 1211836971800 1260310450672 1267767908960 1297715182400 1339079853839 1384956539200 1471516322900 1530376975816 1575388063340 1584709886200 1648098281648 1687029737120 1800443500960 1811097012800 1912971219770 1938939154880 1969235079175 2060122852060 2108787171400 2250554376200 2354426116640 2410042481600 2423673943600 2520620901344 2535535817920 2575153565075 2678159707678 2943032645800 3060753951632 3150776126680 3169419772400 3296196563296 3374059474240 3600887001920 3825942439540 3938470158350 4120245704120 4217574342800 4501108752400 4708852233280 4782428049425 4847347887200 5041241802688 5150307130150 5356319415356 5886065291600 6121507903264 6301552253360 6338839544800 6592393126592 6695399269195 7651884879080 7876940316700 8240491408240 8435148685600 9002217504800 9564856098850 9694695774400 10300614260300 10712638830712 11772130583200 12243015806528 12603104506720 12677679089600 13390798538390 15303769758160 15753880633400 16480982816480 16870297371200 18004435009600 19129712197700 20601228520600 21425277661424 23544261166400 25206209013440 26781597076780 30607539516320 31507761266800 32961965632960 33476996345975 38259424395400 41202457041200 42850555322848 53563194153560 61215079032640 63015522533600 66953992691950 76518848790800 82404914082400 85701110645696 107126388307120 126031045067200 133907985383900 153037697581600 164809828164800 214252776614240 267815970767800 306075395163200 428505553228480 535631941535600 1071263883071200 2142527766142400
- Sum of all divisors σ(n): 6962398611111936
- Sum of proper divisors (its aliquot sum) s(n): 4819870844969536
- 2142527766142400 is an abundant number, because the sum of its proper divisors (4819870844969536) is greater than itself. Its abundance is 2677343078827136
Bases of 2142527766142400
- Binary: 1111001110010011110000111100110110000011101110000002
- Hexadecimal: 0x79C9E1E6C1DC0
- Base-36: L3GNO1J7I8
Squares and roots of 2142527766142400
- 2142527766142400 squared (21425277661424002) is 4590425228691142663777077760000
- 2142527766142400 cubed (21425277661424003) is 9835113510871349547975210250462940033024000000
-
The
square root of 2142527766142400 is 46287447.1767713713 -
The
cube root of 2142527766142400 is 128916.5930427217
Scales and comparisons
How big is 2142527766142400?- 2,142,527,766,142,400 seconds is equal to 68,125,755 years, 35 weeks, 6 days, 2 hours, 13 minutes, 20 seconds.
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To count from 1 to 2,142,527,766,142,400 would take you about two hundred four million, three hundred seventy-seven thousand, two hundred sixty-seven 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 2142527766142400 cubic inches would be around 10743 feet tall.
Recreational maths with 2142527766142400
- 2142527766142400 backwards is 0042416677252412
- The number of decimal digits it has is: 16
- The sum of 2142527766142400's digits is 53
- More coming soon!
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The information we have on file for 2142527766142400 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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