13220008032000
13,220,008,032,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13220008032000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
13220008032000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 13220008032000:
28 × 3 × 53 × 7 × 11 × 312 × 1861
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 11 × 31 × 31 × 1861)See below for interesting mathematical facts about the number 13220008032000 from the Numbermatics database.
Names of 13220008032000
- Cardinal: 13220008032000 can be written as Thirteen trillion, two hundred twenty billion, eight million, thirty-two thousand.
Scientific notation
- Scientific notation: 1.3220008032 × 1013
Factors of 13220008032000
Divisors of 13220008032000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 25 28 30 31 32 33 35 40 42 44 48 50 55 56 60 62 64 66 70 75 77 80 84 88 93 96 100 105 110 112 120 124 125 128 132 140 150 154 155 160 165 168 175 176 186 192 200 210 217 220 224 231 240 248 250 256 264 275 280 300 308 310 320 330 336 341 350 352 372 375 384 385 400 420 434 440 448 462 465 480 496 500 525 528 550 560 600 616 620 640 651 660 672 682 700 704 744 750 768 770 775 800 825 840 868 875 880 896 924 930 960 961 992 1000 1023 1050 1056 1085 1100 1120 1155 1200 1232 1240 1280 1302 1320 1344 1364 1375 1400 1408 1488 1500 1540 1550 1600 1650 1680 1705 1736 1750 1760 1792 1848 1860 1861 1920 1922 1925 1984 2000 2046 2100 2112 2170 2200 2240 2310 2325 2387 2400 2464 2480 2604 2625 2640 2688 2728 2750 2800 2816 2883 2976 3000 3080 3100 3200 3255 3300 3360 3410 3472 3500 3520 3696 3720 3722 3840 3844 3850 3875 3968 4000 4092 4125 4200 4224 4340 4400 4480 4620 4650 4774 4800 4805 4928 4960 5115 5208 5250 5280 5376 5425 5456 5500 5583 5600 5766 5775 5952 6000 6160 6200 6400 6510 6600 6720 6727 6820 6944 7000 7040 7161 7392 7440 7444 7688 7700 7750 7936 8000 8184 8250 8400 8448 8525 8680 8800 8960 9240 9300 9305 9548 9600 9610 9625 9856 9920 10230 10416 10500 10560 10571 10850 10912 11000 11166 11200 11532 11550 11625 11904 11935 12000 12320 12400 13020 13027 13200 13440 13454 13640 13888 14000 14080 14322 14415 14784 14880 14888 15376 15400 15500 16000 16275 16368 16500 16800 17050 17360 17600 18480 18600 18610 19096 19200 19220 19250 19712 19840 20181 20460 20471 20832 21000 21120 21142 21700 21824 22000 22332 22400 23064 23100 23250 23808 23870 24000 24025 24640 24800 25575 26040 26054 26400 26880 26908 27125 27280 27776 27915 28000 28644 28830 28875 29568 29760 29776 30752 30800 31000 31713 32000 32550 32736 33000 33600 33635 34100 34720 35200 35805 36960 37200 37220 38192 38440 38500 39081 39680 40362 40920 40942 41664 42000 42240 42284 42625 43400 43648 44000 44664 44800 46128 46200 46500 46525 47740 48000 48050 49280 49600 51150 52080 52108 52800 52855 53816 54250 54560 55552 55830 56000 57288 57660 57691 57750 59136 59520 59552 59675 61413 61504 61600 62000 63426 65100 65135 65472 66000 67200 67270 68200 69440 70400 71610 72075 73920 73997 74400 74440 76384 76880 77000 78162 80724 81375 81840 81884 83328 84000 84568 85250 86800 87296 88000 89328 92256 92400 93000 93050 95480 96000 96100 98560 99200 100905 102300 102355 104160 104216 105600 105710 107632 108500 109120 111660 112000 114576 115320 115382 115500 119040 119104 119350 120125 122826 123008 123200 124000 126852 127875 130200 130270 130944 132000 134400 134540 136400 138880 139575 143220 143297 144150 147840 147994 148800 148880 152768 153760 154000 156324 158565 161448 162750 163680 163768 166656 168000 168175 169136 170500 173073 173600 176000 178656 179025 184512 184800 186000 186100 190960 192200 195405 198400 201810 204600 204710 208320 208432 211200 211420 215264 217000 218240 221991 223320 224000 229152 230640 230764 231000 232625 238208 238700 240250 245652 246016 246400 248000 253704 255750 260400 260540 261888 264000 264275 269080 272800 277760 279150 286440 286594 288300 288455 295680 295988 297600 297760 298375 305536 307065 307520 308000 312648 317130 322896 325500 325675 327360 327536 336000 336350 338272 341000 346146 347200 352000 357312 358050 360375 369024 369600 369985 372000 372200 381920 384400 390810 403620 403837 409200 409420 416640 416864 422840 429891 430528 434000 436480 443982 446640 458304 461280 461528 462000 465250 476416 477400 480500 491304 492800 496000 504525 507408 511500 511775 520800 521080 528000 528550 538160 545600 558300 572880 573188 576600 576910 591976 595200 595520 596750 611072 614130 615040 616000 625296 634260 634601 645792 651000 651350 654720 655072 672000 672700 676544 682000 692292 694400 697875 714624 716100 716485 720750 738048 739200 739970 744000 744400 763840 768800 781620 792825 807240 807674 818400 818840 833280 833728 840875 845680 859782 861056 865365 868000 887964 893280 895125 916608 922560 923056 924000 930500 954800 961000 977025 982608 992000 1009050 1014816 1023000 1023550 1041600 1042160 1056000 1057100 1076320 1091200 1109955 1116600 1145760 1146376 1153200 1153820 1183952 1191040 1193500 1211511 1228260 1230080 1232000 1250592 1268520 1269202 1291584 1302000 1302700 1309440 1310144 1321375 1345400 1353088 1364000 1384584 1388800 1395750 1429248 1432200 1432970 1441500 1442275 1478400 1479940 1488000 1488800 1527680 1535325 1537600 1563240 1585650 1614480 1615348 1628375 1636800 1637680 1667456 1681750 1691360 1719564 1722112 1730730 1736000 1775928 1786560 1788421 1790250 1833216 1845120 1846112 1848000 1849925 1861000 1903803 1909600 1922000 1954050 1965216 2018100 2019185 2029632 2046000 2047100 2083200 2084320 2114200 2149455 2152640 2182400 2219910 2233200 2291520 2292752 2306400 2307640 2367904 2382080 2387000 2423022 2456520 2464000 2501184 2522625 2537040 2538404 2558875 2583168 2604000 2605400 2620288 2642750 2690800 2706176 2728000 2769168 2791500 2864400 2865940 2883000 2884550 2959880 2976000 2977600 3055360 3070650 3075200 3126480 3171300 3173005 3228960 3230696 3256750 3273600 3275360 3334912 3363500 3382720 3439128 3461460 3472000 3551856 3573120 3576842 3580500 3582425 3690240 3692224 3696000 3699850 3722000 3807606 3819200 3844000 3908100 3930432 3964125 4036200 4038370 4059264 4092000 4094200 4166400 4168640 4228400 4298910 4305280 4326825 4439820 4442207 4466400 4583040 4585504 4612800 4615280 4735808 4774000 4846044 4885125 4913040 5002368 5045250 5074080 5076808 5117750 5166336 5208000 5210800 5240576 5285500 5365263 5381600 5456000 5538336 5549775 5583000 5728800 5731880 5766000 5769100 5919760 5955200 6057555 6141300 6150400 6252960 6342600 6346010 6457920 6461392 6513500 6547200 6550720 6727000 6765440 6878256 6922920 6944000 7103712 7146240 7153684 7161000 7164850 7211375 7384448 7392000 7399700 7444000 7615212 7638400 7676625 7688000 7816200 7860864 7928250 8072400 8076740 8118528 8184000 8188400 8337280 8456800 8597820 8610560 8653650 8879640 8884414 8932800 8942105 9166080 9171008 9225600 9230560 9249625 9471616 9519015 9548000 9692088 9770250 9826080 10004736 10090500 10095925 10148160 10153616 10235500 10416000 10421600 10571000 10730526 10747275 10763200 10912000 11076672 11099550 11166000 11457600 11463760 11532000 11538200 11839520 11910400 12115110 12282600 12505920 12518947 12685200 12692020 12915840 12922784 13027000 13101440 13326621 13454000 13530880 13756512 13845840 14207424 14307368 14322000 14329700 14422750 14768896 14799400 14888000 15230424 15276800 15353250 15376000 15632400 15721728 15856500 15865025 16144800 16153480 16368000 16376800 16674560 16913600 17195640 17307300 17759280 17768828 17865600 17884210 17912125 18342016 18451200 18461120 18499250 18943232 19038030 19096000 19384176 19540500 19652160 19672631 20181000 20191850 20296320 20307232 20471000 20832000 20843200 21142000 21461052 21494550 21526400 21634125 22153344 22199100 22211035 22332000 22915200 22927520 23064000 23076400 23679040 24230220 24565200 25011840 25037894 25370400 25384040 25831680 25845568 26054000 26202880 26653242 26826315 26908000 27513024 27691680 27748875 28414848 28614736 28644000 28659400 28845500 29598800 29776000 30287775 30460848 30706500 30752000 31264800 31713000 31730050 32289600 32306960 32736000 32753600 33827200 34391280 34614600 35518560 35537656 35731200 35768420 35824250 36684032 36922240 36998500 37556841 38076060 38192000 38768352 39081000 39304320 39345262 40362000 40383700 40592640 40614464 40942000 41686400 42284000 42922104 42989100 43052800 43268250 44306688 44398200 44422070 44664000 44710525 45830400 45855040 46128000 46152800 47358080 47595075 48460440 49130400 50023680 50075788 50479625 50740800 50768080 51691136 52108000 53306484 53652630 53736375 53816000 55026048 55383360 55497750 56829696 57229472 57288000 57318800 57691000 59017893 59197600 59552000 60575550 60921696 61413000 62529600 62594735 63426000 63460100 64579200 64613920 65507200 66633105 67654400 68782560 69229200 71037120 71075312 71536840 71648500 73844480 73997000 75113682 76152120 76384000 77536704 78162000 78608640 78690524 79325125 80724000 80767400 81228928 81884000 83372800 84568000 85844208 85978200 86536500 88796400 88844140 89328000 89421050 91710080 92256000 92305600 94716160 95190150 96920880 98260800 98363155 100151576 100959250 101481600 101536160 103382272 104216000 106612968 107305260 107472750 107632000 110052096 110766720 110995500 111055175 114458944 114576000 114637600 115382000 118035786 118395200 121151100 121843392 122826000 125059200 125189470 126852000 126920200 129158400 129227840 131014400 133266210 134131575 137565120 137708417 138458400 142074240 142150624 143073680 143297000 147994000 150227364 151438875 152304240 155073408 156324000 157381048 158650250 161448000 161534800 162457856 163768000 169136000 171688416 171956400 173073000 177592800 177688280 178656000 178842100 183420160 184611200 187784205 190380300 193841760 196521600 196726310 200303152 201918500 202963200 203072320 208432000 213225936 214610520 214945500 215264000 221533440 221991000 222110350 223552625 228917888 229152000 229275200 230764000 236071572 236790400 237975375 242302200 243686784 245652000 250118400 250378940 253704000 253840400 258455680 266532420 268263150 275130240 275416834 276916800 284148480 284301248 286147360 286594000 295089465 295988000 300454728 302877750 304608480 310146816 312648000 312973675 314762096 317300500 322896000 323069600 327536000 333165525 338272000 343376832 343912800 346146000 355185600 355376560 357684200 369222400 375568410 380760600 387683520 393043200 393452620 400606304 403837000 406144640 413125251 416864000 426451872 429221040 429891000 443982000 444220700 447105250 457835776 458550400 461528000 472143144 473580800 475950750 484604400 487373568 491304000 491815775 500757880 507408000 507680800 516911360 533064840 536526300 550260480 550833668 553833600 555275875 568602496 572294720 573188000 590178930 591976000 600909456 605755500 609216960 625296000 625947350 629524192 634601000 645792000 646139200 655072000 666331050 670657875 686753664 687825600 688542085 692292000 710371200 710753120 715368400 751136820 761521200 775367040 786905240 801212608 807674000 812289280 826250502 852903744 858442080 859782000 887964000 888441400 894210500 917100800 923056000 938921025 944286288 951901500 969208800 982608000 983631550 1001515760 1014816000 1015361600 1066129680 1073052600 1101667336 1107667200 1110551750 1137204992 1144589440 1146376000 1180357860 1183952000 1201818912 1211511000 1218433920 1250592000 1251894700 1259048384 1269202000 1292278400 1332662100 1341315750 1373507328 1375651200 1377084170 1384584000 1420742400 1421506240 1430736800 1475447325 1502273640 1523042400 1550734080 1564868375 1573810480 1602425216 1615348000 1652501004 1665827625 1705807488 1716884160 1719564000 1775928000 1776882800 1788421000 1846112000 1877842050 1888572576 1903803000 1938417600 1965216000 1967263100 2003031520 2030723200 2065626255 2132259360 2146105200 2203334672 2221103500 2289178880 2292752000 2360715720 2367904000 2403637824 2423022000 2436867840 2459078875 2503789400 2518096768 2538404000 2584556800 2665324200 2682631500 2751302400 2754168340 2769168000 2843012480 2861473600 2950894650 3004547280 3046084800 3129736750 3147620960 3204850432 3230696000 3305002008 3331655250 3411614976 3433768320 3439128000 3442710425 3551856000 3553765600 3576842000 3755684100 3777145152 3807606000 3876835200 3934526200 4006063040 4061446400 4131252510 4264518720 4292210400 4406669344 4442207000 4585504000 4694605125 4721431440 4807275648 4846044000 4918157750 5007578800 5036193536 5076808000 5330648400 5365263000 5508336680 5538336000 5686024960 5722947200 5901789300 6009094560 6092169600 6259473500 6295241920 6461392000 6610004016 6663310500 6867536640 6878256000 6885420850 7103712000 7107531200 7153684000 7377236625 7511368200 7554290304 7615212000 7753670400 7869052400 8012126080 8262505020 8529037440 8584420800 8813338688 8884414000 9389210250 9442862880 9614551296 9692088000 9836315500 10015157600 10153616000 10328131275 10661296800 10730526000 11016673360 11445894400 11803578600 12018189120 12184339200 12518947000 12590483840 12922784000 13220008032 13326621000 13756512000 13770841700 14215062400 14307368000 14754473250 15022736400 15108580608 15230424000 15738104800 16024252160 16525010040 17058074880 17168841600 17213552125 17626677376 17768828000 18778420500 18885725760 19384176000 19672631000 20030315200 20307232000 20656262550 21322593600 21461052000 22033346720 23607157200 24036378240 25037894000 25180967680 26440016064 26653242000 27541683400 28430124800 28614736000 29508946500 30045472800 30460848000 31476209600 33050020080 34337683200 34427104250 35253354752 35537656000 37556841000 37771451520 38768352000 39345262000 40060630400 41312525100 42645187200 42922104000 44066693440 47214314400 48072756480 50075788000 51640656375 52880032128 53306484000 55083366800 57229472000 59017893000 60090945600 60921696000 62952419200 66100040160 68854208500 71075312000 75113682000 75542903040 78690524000 80121260800 82625050200 85290374400 85844208000 88133386880 94428628800 100151576000 103281312750 105760064256 106612968000 110166733600 118035786000 120181891200 125904838400 132200080320 137708417000 142150624000 150227364000 157381048000 165250100400 171688416000 176266773760 188857257600 200303152000 206562625500 213225936000 220333467200 236071572000 240363782400 264400160640 275416834000 300454728000 314762096000 330500200800 377714515200 400606304000 413125251000 426451872000 440666934400 472143144000 528800321280 550833668000 600909456000 629524192000 661000401600 826250502000 881333868800 944286288000 1101667336000 1201818912000 1322000803200 1652501004000 1888572576000 2203334672000 2644001606400 3305002008000 4406669344000 6610004016000 13220008032000
- Sum of all divisors σ(n): 56598594683904
- Sum of proper divisors (its aliquot sum) s(n): 43378586651904
- 13220008032000 is an abundant number, because the sum of its proper divisors (43378586651904) is greater than itself. Its abundance is 30158578619904
Bases of 13220008032000
- Binary: 110000000110000001011110000111110111000000002
- Hexadecimal: 0xC0605E1F700
- Base-36: 4OP6RG9HC
Squares and roots of 13220008032000
- 13220008032000 squared (132200080320002) is 174768612366144513024000000
- 13220008032000 cubed (132200080320003) is 2310442459221924987050008608768000000000
-
The
square root of 13220008032000 is 3635932.8970705715 -
The
cube root of 13220008032000 is 23645.2497924769
Scales and comparisons
How big is 13220008032000?- 13,220,008,032,000 seconds is equal to 420,355 years, 18 weeks, 6 days, 5 hours, 20 minutes.
-
To count from 1 to 13,220,008,032,000 would take you about one million, fifty thousand, eight hundred eighty-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 13220008032000 cubic inches would be around 1970.4 feet tall.
Recreational maths with 13220008032000
- 13220008032000 backwards is 00023080002231
- 13220008032000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13220008032000's digits is 21
- More coming soon!
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"Number 13220008032000 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 13220008032000 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/13220008032000/
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The information we have on file for 13220008032000 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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