988142133706000
988,142,133,706,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 988142133706000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1080 divisors.
988142133706000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 988142133706000:
24 × 53 × 72 × 132 × 53 × 10612
(2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 13 × 13 × 53 × 1061 × 1061)See below for interesting mathematical facts about the number 988142133706000 from the Numbermatics database.
Names of 988142133706000
- Cardinal: 988142133706000 can be written as Nine hundred eighty-eight trillion, one hundred forty-two billion, one hundred thirty-three million, seven hundred six thousand.
Scientific notation
- Scientific notation: 9.88142133706 × 1014
Factors of 988142133706000
Divisors of 988142133706000
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 35 40 49 50 52 53 56 65 70 80 91 98 100 104 106 112 125 130 140 169 175 182 196 200 208 212 245 250 260 265 280 325 338 350 364 371 392 400 424 455 490 500 520 530 560 637 650 676 689 700 728 742 784 845 848 875 910 980 1000 1040 1060 1061 1183 1225 1274 1300 1325 1352 1378 1400 1456 1484 1625 1690 1750 1820 1855 1960 2000 2120 2122 2275 2366 2450 2548 2597 2600 2650 2704 2756 2800 2968 3185 3250 3380 3445 3500 3640 3710 3920 4225 4240 4244 4550 4732 4823 4900 5096 5194 5200 5300 5305 5512 5915 5936 6125 6370 6500 6625 6760 6890 7000 7280 7420 7427 8281 8450 8488 8957 9100 9275 9464 9646 9800 10192 10388 10600 10610 11024 11375 11830 12250 12740 12985 13000 13250 13520 13780 13793 14000 14840 14854 15925 16562 16900 16976 17225 17914 18200 18550 18928 19292 19600 20776 21125 21200 21220 22750 23660 24115 24500 25480 25970 26000 26500 26525 27560 27586 29575 29680 29708 31850 33124 33761 33800 34450 35828 36400 37100 37135 38584 41405 41552 42250 42440 44785 45500 46375 47320 48230 49000 50960 51940 51989 53000 53050 55120 55172 56233 59150 59416 62699 63700 64925 66248 67522 67600 68900 68965 71656 74200 74270 77168 79625 82810 84500 84880 86125 89570 91000 92750 94640 96460 96551 98000 103880 103978 106000 106100 110344 112466 118300 118832 120575 125398 127400 129850 132496 132625 135044 137800 137930 143312 147875 148400 148540 159250 165620 168805 169000 172250 179140 179309 182000 185500 185675 192920 193102 207025 207760 207956 212200 220688 223925 224932 236600 241150 250796 254800 259700 259945 265250 270088 275600 275860 281165 295750 297080 313495 318500 324625 331240 337610 338000 344500 344825 358280 358618 371000 371350 385840 386204 393631 414050 415912 424400 438893 447850 449864 473200 482300 482755 501592 519400 519890 530500 540176 551720 562330 591500 594160 602875 626990 637000 649250 662480 675220 675857 689000 689650 716560 717236 731029 742000 742700 772408 787262 828100 831824 844025 877786 895700 896545 899728 928375 964600 965510 1003184 1035125 1038800 1039780 1061000 1103440 1119625 1124660 1125721 1183000 1205750 1253980 1255163 1274000 1298500 1299725 1350440 1351714 1378000 1379300 1405825 1434472 1462058 1485400 1544816 1567475 1574524 1656200 1688050 1724125 1755572 1791400 1793090 1856750 1929200 1931020 1968155 2070250 2079560 2122000 2194465 2239250 2249320 2251442 2366000 2411500 2413775 2507960 2510326 2597000 2599450 2700880 2703428 2755417 2758600 2811650 2868944 2924116 2970800 3134950 3149048 3312400 3376100 3379285 3448250 3511144 3582800 3586180 3655145 3713500 3862040 3936310 4140500 4159120 4220125 4388930 4478500 4482725 4498640 4502884 4823000 4827550 5015920 5020652 5117203 5194000 5198900 5406856 5510834 5517200 5623300 5628605 5848232 6269900 6275815 6298096 6498625 6752200 6758570 6896500 7022288 7029125 7172360 7310290 7427000 7724080 7837375 7872620 7880047 8281000 8440250 8777860 8786141 8957000 8965450 9005768 9503377 9646000 9655100 9840775 10041304 10234406 10397800 10813712 10972325 11021668 11246600 11257210 11696464 12068875 12539800 12551630 12997250 13504400 13517140 13777085 13793000 14058250 14344720 14620580 14634373 14854000 15674750 15745240 15760094 16562000 16880500 16896425 17555720 17572282 17914000 17930900 18011536 18275725 19006754 19310200 19681550 20082608 20468812 20795600 21944650 22043336 22413625 22493200 22514420 24137750 25079600 25103260 25586015 25994500 27034280 27554170 27586000 28116500 28143025 29241160 29268746 31349500 31379075 31490480 31520188 33761000 33792850 35111440 35144564 35820421 35861800 36551450 38013508 38620400 39363100 39400235 40937624 43889300 43930705 44086672 44827250 45028840 47516885 48275500 49203875 50206520 51172030 51989000 54068560 54861625 55108340 55160329 56233000 56286050 58482320 58537492 59663213 62699000 62758150 63040376 66523639 67522000 67585700 68885425 70289128 71640842 71723600 73102900 73171865 76027016 78726200 78800470 81875248 84482125 87778600 87861410 89654500 90057680 91378625 95033770 96551000 98407750 100413040 102344060 102440611 103978000 109723250 110216680 110320658 112466000 112572100 117074984 119326426 125398000 125516300 126080752 127930075 133047278 135171400 137770850 140578256 140715125 143281684 146205800 146343730 152054032 156895375 157452400 157600940 168964250 175557200 175722820 179102105 179309000 182757250 190067540 190246849 193102000 196815500 197001175 204688120 204881222 219446500 219653525 220433360 220641316 225144200 234149968 237584425 238652852 251032600 255860150 266094556 270342800 275541700 275801645 281430250 286563368 292411600 292687460 298316065 313790750 315201880 332618195 337928500 344427125 351445640 358204210 358618000 365514500 365859325 380135080 380493698 393631000 394002350 409376240 409762444 417642491 438893000 439307050 441282632 450288400 465665473 475168850 477305704 502065200 511720300 512203055 532189112 551083400 551603290 562860500 573126736 585374920 596632130 627581500 630403760 639650375 665236390 675857000 688854250 702891280 716408420 717084277 731029000 731718650 760270160 760987396 775621769 787262000 788004700 819524888 835284982 877786000 878614100 882565264 895510525 931330946 950337700 951234245 954611408 985005875 1023440600 1024406110 1064378224 1098267625 1102166800 1103206580 1125721000 1170749840 1187922125 1193264260 1255163000 1279300750 1330472780 1331727943 1351714000 1377708500 1379008225 1432816840 1434168554 1462058000 1463437300 1491580325 1521974792 1551243538 1576009400 1639049776 1663090975 1670569964 1757228200 1791021050 1829296625 1862661892 1900675400 1902468490 1970011750 2046881200 2048812220 2088212455 2196535250 2206413160 2251442000 2328327365 2375844250 2386528520 2510326000 2558601500 2561015275 2660945560 2663455886 2755417000 2758016450 2865633680 2868337108 2923497437 2926874600 2983160650 3043949584 3102487076 3152018800 3326181950 3341139928 3514456400 3582042100 3585421385 3658593250 3725323784 3801350800 3804936980 3878108845 3940023500 4097624440 4176424910 4393070500 4412826320 4477552625 4656654730 4751688500 4756171225 4773057040 5117203000 5122030550 5321891120 5326911772 5429352383 5510834000 5516032900 5736674216 5846994874 5853749200 5966321300 6204974152 6652363900 6658639715 6682279856 6895041125 7164084200 7170842770 7317186500 7450647568 7457901625 7609873960 7756217690 7880047000 8195248880 8315454875 8352849820 8786141000 8955105250 9313309460 9322095601 9503377000 9512342450 10083082997 10234406000 10244061100 10441062275 10653823544 10858704766 11032065800 11473348432 11641636825 11693989748 11932642600 12409948304 12805076375 13304727800 13317279430 13790082250 14328168400 14341685540 14617487185 14634373000 14915803250 15219747920 15512435380 15760094000 16630909750 16705699640 17572282000 17910210500 17927106925 18626618920 18644191202 19006754000 19024684900 19390544225 20166165994 20488122200 20882124550 21307647088 21717409532 22064131600 23283273650 23387979496 23780856125 23865285200 25610152750 26609455600 26634558860 27146761915 27580164500 28683371080 29234974370 29268746000 29831606500 31024870760 33261819500 33293198575 33411399280 35820421000 35854213850 37253237840 37288382404 38005466681 38049369800 38781088450 40332331988 40976244400 41764249100 43434819064 46566547300 46610478005 46775958992 47561712250 50415414985 51220305500 52205311375 53269117720 54293523830 55160329000 57366742160 58208184125 58469948740 59663213000 62049741520 66523639000 66586397150 70581580979 71640842000 71708427700 73087435925 74576764808 76010933362 76098739600 77562176900 80664663976 83528498200 86869638128 89635534625 93133094600 93220956010 95123424500 96952721125 100830829970 102440611000 104410622750 106538235440 108587047660 110320658000 116416368250 116939897480 119326426000 133047278000 133172794300 135733809575 141163161958 143416855400 146174871850 149153529616 152021866724 155124353800 161329327952 166465992875 167056996400 179271069250 186266189200 186441912020 190027333405 190246849000 193905442250 201661659940 204881222000 208821245500 217174095320 232832736500 233052390025 233879794960 252077074925 266345588600 271467619150 282326323916 286833710800 292349743700 304043733448 310248707600 332931985750 352907904895 358542138500 365437179625 372883824040 380054666810 380493698000 387810884500 403323319880 417642491000 434348190640 465665473000 466104780050 494071066853 504154149850 532691177200 542935238300 564652647832 584699487400 608087466896 665863971500 678669047875 705815809790 717084277000 730874359250 745767648080 760109333620 775621769000 806646639760 835284982000 931330946000 932209560100 950136667025 988142133706 1008308299700 1085870476600 1129305295664 1165261950125 1169398974800 1260385374625 1331727943000 1357338095750 1411631619580 1434168554000 1461748718500 1520218667240 1551243538000 1764539524475 1864419120200 1900273334050 1976284267412 2016616599400 2171740953200 2330523900250 2470355334265 2520770749250 2663455886000 2714676191500 2823263239160 2923497437000 3040437334480 3529079048950 3728838240400 3800546668100 3952568534824 4033233198800 4661047800500 4750683335125 4940710668530 5041541498500 5429352383000 5646526478320 5846994874000 7058158097900 7601093336200 7905137069648 8822697622375 9322095601000 9501366670250 9881421337060 10083082997000 10858704766000 12351776671325 14116316195800 15202186672400 17645395244750 18644191202000 19002733340500 19762842674120 20166165994000 24703553342650 28232632391600 35290790489500 38005466681000 39525685348240 49407106685300 61758883356625 70581580979000 76010933362000 98814213370600 123517766713250 141163161958000 197628426741200 247035533426500 494071066853000 988142133706000
- Sum of all divisors σ(n): 3069349076633112
- Sum of proper divisors (its aliquot sum) s(n): 2081206942927112
- 988142133706000 is an abundant number, because the sum of its proper divisors (2081206942927112) is greater than itself. Its abundance is 1093064809221112
Bases of 988142133706000
- Binary: 111000001010110101110001001101110111111101000100002
- Hexadecimal: 0x382B5C4DDFD10
- Base-36: 9Q9M89C1SG
Squares and roots of 988142133706000
- 988142133706000 squared (9881421337060002) is 976424876405046381294436000000
- 988142133706000 cubed (9881421337060003) is 964846560774499865918178035265859816000000000
-
The
square root of 988142133706000 is 31434728.1474804551 -
The
cube root of 988142133706000 is 99603.1650938643
Scales and comparisons
How big is 988142133706000?- 988,142,133,706,000 seconds is equal to 31,419,863 years, 17 weeks, 5 hours, 26 minutes, 40 seconds.
-
To count from 1 to 988,142,133,706,000 would take you about seventy-eight million, five hundred forty-nine thousand, six hundred fifty-eight 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 988142133706000 cubic inches would be around 8300.3 feet tall.
Recreational maths with 988142133706000
- 988142133706000 backwards is 000607331241889
- 988142133706000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 988142133706000's digits is 52
- More coming soon!
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The information we have on file for 988142133706000 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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