220842138010200
220,842,138,010,200 is an even composite number composed of nine prime numbers multiplied together.
What does the number 220842138010200 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 1536 divisors.
220842138010200 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 220842138010200:
23 × 3 × 52 × 7 × 17 × 23 × 61 × 1093 × 2017
(2 × 2 × 2 × 3 × 5 × 5 × 7 × 17 × 23 × 61 × 1093 × 2017)See below for interesting mathematical facts about the number 220842138010200 from the Numbermatics database.
Names of 220842138010200
- Cardinal: 220842138010200 can be written as Two hundred twenty trillion, eight hundred forty-two billion, one hundred thirty-eight million, ten thousand, two hundred.
Scientific notation
- Scientific notation: 2.208421380102 × 1014
Factors of 220842138010200
Divisors of 220842138010200
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 17 20 21 23 24 25 28 30 34 35 40 42 46 50 51 56 60 61 68 69 70 75 84 85 92 100 102 105 115 119 120 122 136 138 140 150 161 168 170 175 183 184 200 204 210 230 238 244 255 276 280 300 305 322 340 345 350 357 366 391 408 420 425 427 460 476 483 488 510 525 552 575 595 600 610 644 680 690 700 714 732 782 805 840 850 854 915 920 952 966 1020 1037 1050 1093 1150 1173 1190 1220 1275 1281 1288 1380 1400 1403 1428 1464 1525 1564 1610 1700 1708 1725 1785 1830 1932 1955 2017 2040 2074 2100 2135 2186 2300 2346 2380 2415 2440 2550 2562 2737 2760 2806 2856 2975 3050 3111 3128 3220 3279 3400 3416 3450 3570 3660 3864 3910 4025 4034 4148 4200 4209 4270 4372 4575 4600 4692 4760 4830 5100 5124 5185 5465 5474 5612 5865 5950 6051 6100 6222 6405 6440 6558 6900 7015 7140 7259 7320 7651 7820 8050 8068 8211 8296 8418 8540 8744 8925 9150 9384 9660 9775 9821 10085 10200 10248 10370 10675 10930 10948 11224 11730 11900 12075 12102 12200 12444 12810 13116 13685 13800 14030 14119 14280 14518 15302 15555 15640 16100 16136 16395 16422 16836 17080 17850 18300 18581 19320 19550 19642 20170 20740 21045 21350 21777 21860 21896 22953 23460 23800 23851 24150 24204 24888 25139 25620 25925 26232 27325 27370 28060 28238 29036 29325 29463 30255 30604 31110 32025 32200 32790 32844 33672 34289 35075 35700 36295 36600 37162 38255 39100 39284 40340 41055 41480 42090 42357 42700 43554 43720 45906 46391 46920 47702 48300 48408 49105 50278 50425 51240 51850 54650 54740 55743 56120 56476 58072 58650 58926 60510 61208 62220 64050 65580 65688 66673 68425 68578 70150 70595 71400 71553 72590 74324 75417 76510 77775 78200 78568 80680 81975 82110 84180 84714 85400 87108 91812 92782 92905 95404 96600 98210 100556 100850 102867 103700 105225 108885 109300 109480 111486 112952 114765 117300 117852 119255 121020 123037 124440 125695 128100 130067 131160 133346 136850 137156 139173 140300 141190 143106 145180 147315 148648 150834 151275 153020 155550 163950 164220 166957 168360 169428 171445 174216 175973 181475 183624 185564 185810 190808 191275 196420 200019 201112 201700 205275 205734 207400 210450 211785 217770 218600 222972 229530 231955 234600 235704 238510 240023 242040 245525 246074 251390 256200 260134 266692 273700 274312 278346 278715 280600 282380 286212 290360 294630 301668 302550 306040 311100 324737 327900 328440 333365 333914 338856 342890 351946 352975 357765 362950 369111 371128 371620 377085 382550 390201 392840 400038 403400 410550 411468 420900 423570 427363 435540 445944 459060 463910 464525 466711 477020 480046 491050 492148 500871 502780 514335 520268 527919 533384 544425 547400 556692 557430 564760 572424 573825 589260 596275 603336 605100 615185 622200 628475 649474 650335 655800 666730 667828 685780 695865 703892 705950 715530 720069 725900 736575 738222 743240 754170 765100 780402 788647 800076 821100 822936 834785 841800 847140 854726 857225 861259 871080 879865 918120 927820 929050 933422 954040 960092 974211 982100 984296 1000095 1001742 1005560 1028670 1040536 1055838 1058925 1088850 1113384 1114860 1133441 1147650 1159775 1178520 1192550 1200115 1210200 1230370 1256950 1282089 1298948 1300670 1333460 1335656 1371560 1391730 1393575 1400133 1407784 1411900 1431060 1440138 1451800 1473150 1476444 1508340 1530200 1533479 1560804 1577294 1600152 1623685 1642200 1666825 1669570 1694280 1709452 1714450 1722518 1759730 1788825 1845555 1855640 1858100 1866844 1885425 1920184 1948422 1951005 1964200 2000190 2003484 2057340 2091629 2111676 2117850 2136815 2177700 2204581 2229720 2266882 2295300 2319550 2333555 2365941 2385100 2400230 2460740 2504355 2513900 2564178 2571675 2583777 2597896 2601340 2639595 2666920 2783460 2787150 2800266 2823800 2829851 2862120 2880276 2946300 2952888 2991541 3016680 3066958 3075925 3121608 3154588 3247370 3251675 3333650 3339140 3400323 3418904 3428900 3445036 3479325 3519460 3577650 3600345 3691110 3716200 3733688 3770850 3896844 3902010 3943235 4000380 4006968 4114680 4173925 4183258 4223352 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165343575 165615870 169791060 170016150 172251800 175696836 179492460 182484001 184017480 185184804 187389385 190418088 192429868 194842200 198089570 198352175 202821452 208553144 209162900 212238825 214687060 219621045 220458100 220821160 224365575 224867262 226688200 230021850 231481005 236594100 237707484 238022610 240537335 250995480 253526815 256417800 257624472 258377700 260691430 262345139 264549720 268358825 268958882 276026450 280026600 282985100 288644802 292828060 297134355 299154100 299823016 304232178 306695800 308641340 312829716 313744350 317363480 322030590 330687150 331231740 336752269 339582120 340032300 351393672 354937541 358984920 364968002 366035075 370369608 374778770 384859736 385801675 391037145 396179140 396704350 403438323 405642904 414039675 418325800 424477650 429374120 439242090 440916200 448731150 449734524 460043700 462962010 473188200 475414968 476045220 481074670 495223925 507053630 516755400 521382860 524690278 536717650 537917764 547452003 552052900 562168155 565970200 577289604 585656120 594268710 595056525 598308200 608464356 617282680 625659432 627488700 644061180 651728575 661374300 662463480 672397205 673504538 680064600 709875082 721612005 729936004 732070150 749557540 760580445 771603350 782074290 787035417 792358280 793408700 805076475 806876646 828079350 848955300 861991171 878484180 897462300 899469048 912420005 920087400 925924020 936946925 941356087 952090440 962149340 990447850 1010256807 1014107260 1042765720 1049380556 1064812623 1073435300 1075835528 1094904006 1098105225 1104105800 1124336310 1154579208 1157405025 1188537420 1190113050 1202686675 1216928712 1254977400 1267634075 1288122360 1303457150 1311725695 1322748600 1344794410 1347009076 1419750164 1443224010 1459872008 1464140300 1485671775 1499115080 1521160890 1543206700 1564148580 1574070834 1586817400 1610152950 1613753292 1656158700 1683761345 1697910600 1723982342 1756968360 1774687705 1794924600 1824840010 1851848040 1873893850 1882712174 1924298680 1955185725 1980895700 2017191615 2020513614 2028214520 2098761112 2129625246 2146870600 2189808012 2196210450 2248672620 2286150497 2314810050 2377074840 2380226100 2405373350 2535268150 2585973513 2606914300 2623451390 2689588820 2694018152 2737260015 2810840775 2824068261 2839500328 2886448020 2928280600 2971343550 3042321780 3086413400 3093027143 3128297160 3148141668 3220305900 3227506584 3312317400 3361986025 3367522690 3447964684 3549375410 3608060025 3649680020 3747787700 3765424348 3802902225 3910371450 3935177085 3961791400 4034383230 4041027228 4259250492 4309955855 4379616024 4392420900 4497345240 4562100025 4572300994 4629620100 4706780435 4760452200 4810746700 5051284035 5070536300 5171947026 5213828600 5246902780 5324063115 5379177640 5474520030 5621681550 5648136522 5772896040 5942687100 6033938197 6084643560 6186054286 6296283336 6440611800 6558628475 6723972050 6735045380 6858451491 6895929368 7098750820 7216120050 7299360040 7495575400 7530848696 7605804450 7820742900 7870354170 8068766460 8082054456 8418806725 8518500984 8619911710 8784841800 8873438525 9124200050 9144601988 9259240200 9279081429 9413560870 9621493400 10085958075 10102568070 10141072600 10343894052 10493805560 10648126230 10949040060 11243363100 11296273044 11430752485 11885374200 12067876394 12372108572 12929867565 13117256950 13447944100 13470090760 13686300075 13716902982 14120341305 14197501640 14432240100 15211608900 15465135715 15641485800 15740708340 16003053479 16137532920 16837613450 17239823420 17746877050 18101814591 18248400100 18289203976 18558162858 18827121740 19675885425 20171916150 20205136140 20687788104 21296252460 21549779275 21651190001 21898080120 22486726200 22592546088 22861504970 23533902175 24135752788 24744217144 25256420175 25859735130 26234513900 26620315575 26895888200 27372600150 27433805964 28240682610 28864480200 30169690985 30423217800 30930271430 31481416680 32006106958 33675226900 34292257455 34479646840 35493754100 36203629182 36496800200 37116325716 37654243480 39351770850 40343832300 40410272280 42592504920 43099558550 43302380002 45723009940 46395407145 47067804350 48009160437 48271505576 50512840350 51719470260 52469027800 52581461431 53240631150 54745200300 54867611928 56481365220 57153762425 60339381970 61860542860 64012213916 64649337825 64953570003 67350453800 68584514910 70601706525 70987508200 72407258364 74232651432 77325678575 78703541700 80015267395 80687664600 86199117100 86604760004 90509072955 91446019880 92790814290 94135608700 96018320874 101025680700 103438940520 105162922862 106481262300 108255950005 109490400600 112962730440 114307524850 120678763940 123721085720 128024427832 129298675650 129907140006 137169029820 141203413050 144814516728 150848454925 154651357150 157407083400 157744384293 160030534790 171461287275 172398234200 173209520008 181018145910 185581628580 188271217400 192036641748 202051361400 210325845724 212962524600 216511900010 228615049700 231977035725 240045802185 241357527880 258597351300 259814280012 262907307155 274338059640 282406826100 301696909850 309302714300 315488768586 320061069580 324767850015 342922574550 362036291820 368070230017 371163257160 384073283496 400076336975 420651691448 433023800020 452545364775 457230099400 463954071450 480091604370 517194702600 519628560024 525814614310 541279750025 564813652200 603393819700 618605428600 630977537172 640122139160 649535700030 685845149100 724072583640 736140460034 788721921465 800152673950 866047600040 905090729550 927908142900 960183208740 1051629228620 1082559500050 1104210690051 1200229010925 1206787639400 1261955074344 1299071400060 1314536535775 1371690298200 1472280920068 1577443842930 1600305347900 1623839250075 1810181459100 1840351150085 1855816285800 1920366417480 2103258457240 2165119000100 2208421380102 2400458021850 2598142800120 2629073071550 2944561840136 3154887685860 3200610695800 3247678500150 3620362918200 3680702300170 3943609607325 4330238000200 4416842760204 4800916043700 5258146143100 5521053450255 6309775371720 6495357000300 7361404600340 7887219214650 8833685520408 9201755750425 9601832087400 10516292286200 11042106900510 12990714000600 14722809200680 15774438429300 18403511500850 22084213801020 27605267251275 31548876858600 36807023001700 44168427602040 55210534502550 73614046003400 110421069005100 220842138010200
- Sum of all divisors σ(n): 879866639216640
- Sum of proper divisors (its aliquot sum) s(n): 659024501206440
- 220842138010200 is an abundant number, because the sum of its proper divisors (659024501206440) is greater than itself. Its abundance is 438182363196240
Bases of 220842138010200
- Binary: 1100100011011010110100010011000000000010010110002
- Hexadecimal: 0xC8DAD1300258
- Base-36: 26A5H6ZV4O
Squares and roots of 220842138010200
- 220842138010200 squared (2208421380102002) is 48771249920916223615304040000
- 220842138010200 cubed (2208421380102003) is 10770747105964936491283179194513621208000000
-
The
square root of 220842138010200 is 14860758.3255431485 -
The
cube root of 220842138010200 is 60445.0369853519
Scales and comparisons
How big is 220842138010200?- 220,842,138,010,200 seconds is equal to 7,022,096 years, 45 weeks, 5 days, 10 minutes.
-
To count from 1 to 220,842,138,010,200 would take you about seventeen million, five hundred fifty-five thousand, two 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 220842138010200 cubic inches would be around 5037.1 feet tall.
Recreational maths with 220842138010200
- 220842138010200 backwards is 002010831248022
- The number of decimal digits it has is: 15
- The sum of 220842138010200's digits is 33
- More coming soon!
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MLA style:
"Number 220842138010200 - Facts about the integer". Numbermatics.com. 2024. Web. 10 June 2024.
APA style:
Numbermatics. (2024). Number 220842138010200 - Facts about the integer. Retrieved 10 June 2024, from https://numbermatics.com/n/220842138010200/
Chicago style:
Numbermatics. 2024. "Number 220842138010200 - Facts about the integer". https://numbermatics.com/n/220842138010200/
The information we have on file for 220842138010200 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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