2048321345664000
2,048,321,345,664,000 is an even composite number composed of five prime numbers multiplied together.
2048321345664000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred thirty-two divisors.
Prime factorization of 2048321345664000:
210 × 3 × 53 × 116 × 3011
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 11 × 11 × 11 × 11 × 11 × 3011)See below for interesting mathematical facts about the number 2048321345664000 from the Numbermatics database.
Names of 2048321345664000
- Cardinal: 2048321345664000 can be written as Two quadrillion, forty-eight trillion, three hundred twenty-one billion, three hundred forty-five million, six hundred sixty-four thousand.
Scientific notation
- Scientific notation: 2.048321345664 × 1015
Factors of 2048321345664000
Divisors of 2048321345664000
- Number of divisors d(n): 1232
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 40 44 48 50 55 60 64 66 75 80 88 96 100 110 120 121 125 128 132 150 160 165 176 192 200 220 240 242 250 256 264 275 300 320 330 352 363 375 384 400 440 480 484 500 512 528 550 600 605 640 660 704 726 750 768 800 825 880 960 968 1000 1024 1056 1100 1200 1210 1280 1320 1331 1375 1408 1452 1500 1536 1600 1650 1760 1815 1920 1936 2000 2112 2200 2400 2420 2560 2640 2662 2750 2816 2904 3000 3011 3025 3072 3200 3300 3520 3630 3840 3872 3993 4000 4125 4224 4400 4800 4840 5120 5280 5324 5500 5632 5808 6000 6022 6050 6400 6600 6655 7040 7260 7680 7744 7986 8000 8250 8448 8800 9033 9075 9600 9680 10560 10648 11000 11264 11616 12000 12044 12100 12800 13200 13310 14080 14520 14641 15055 15125 15360 15488 15972 16000 16500 16896 17600 18066 18150 19200 19360 19965 21120 21296 22000 23232 24000 24088 24200 25600 26400 26620 28160 29040 29282 30110 30250 30976 31944 32000 33000 33121 33275 33792 35200 36132 36300 38400 38720 39930 42240 42592 43923 44000 45165 45375 46464 48000 48176 48400 52800 53240 56320 58080 58564 60220 60500 61952 63888 64000 66000 66242 66550 70400 72264 72600 73205 75275 76800 77440 79860 84480 85184 87846 88000 90330 90750 92928 96000 96352 96800 99363 99825 105600 106480 116160 117128 120440 121000 123904 127776 128000 132000 132484 133100 140800 144528 145200 146410 150550 154880 159720 161051 165605 166375 168960 170368 175692 176000 180660 181500 185856 192000 192704 193600 198726 199650 211200 212960 219615 225825 232320 234256 240880 242000 255552 264000 264968 266200 281600 289056 290400 292820 301100 309760 319440 322102 331210 332750 340736 351384 352000 361320 363000 364331 366025 371712 376375 384000 385408 387200 397452 399300 422400 425920 439230 451650 464640 468512 481760 483153 484000 496815 499125 511104 528000 529936 532400 578112 580800 585640 602200 619520 638880 644204 662420 665500 681472 702768 704000 722640 726000 728662 732050 752750 770816 774400 794904 798600 805255 828025 844800 851840 878460 903300 929280 937024 963520 966306 968000 993630 998250 1022208 1056000 1059872 1064800 1092993 1098075 1129125 1156224 1161600 1171280 1204400 1277760 1288408 1324840 1331000 1362944 1405536 1408000 1445280 1452000 1457324 1464100 1505500 1541632 1548800 1589808 1597200 1610510 1656050 1703680 1756920 1771561 1806600 1821655 1830125 1858560 1874048 1927040 1932612 1936000 1987260 1996500 2044416 2112000 2119744 2129600 2185986 2196150 2258250 2312448 2323200 2342560 2408800 2415765 2484075 2555520 2576816 2649680 2662000 2811072 2890560 2904000 2914648 2928200 3011000 3083264 3097600 3179616 3194400 3221020 3312100 3407360 3513840 3543122 3613200 3643310 3660250 3748096 3854080 3865224 3872000 3974520 3993000 4007641 4026275 4088832 4140125 4224000 4239488 4259200 4371972 4392300 4516500 4624896 4646400 4685120 4817600 4831530 4968150 5111040 5153632 5299360 5314683 5324000 5464965 5490375 5622144 5781120 5808000 5829296 5856400 6022000 6359232 6388800 6442040 6624200 6814720 7027680 7086244 7226400 7286620 7320500 7496192 7708160 7730448 7744000 7949040 7986000 8015282 8052550 8280250 8478976 8518400 8743944 8784600 8857805 9033000 9108275 9249792 9292800 9370240 9635200 9663060 9936300 10222080 10307264 10598720 10629366 10648000 10929930 10980750 11244288 11562240 11616000 11658592 11712800 12022923 12044000 12078825 12420375 12718464 12777600 12884080 13248400 14055360 14172488 14452800 14573240 14641000 14992384 15416320 15460896 15488000 15898080 15972000 16030564 16105100 16560500 16957952 17036800 17487888 17569200 17715610 18066000 18216550 18740480 19270400 19326120 19872600 20038205 20131375 20444160 20614528 21197440 21258732 21296000 21859860 21961500 22488576 23124480 23232000 23317184 23425600 24045846 24088000 24157650 24840750 25436928 25555200 25768160 26496800 26573415 27324825 28110720 28344976 28905600 29146480 29282000 30921792 31796160 31944000 32061128 32210200 33121000 33915904 34073600 34975776 35138400 35431220 36132000 36433100 37480960 38540800 38652240 39745200 40076410 40262750 41229056 42394880 42517464 42592000 43719720 43923000 44084051 44289025 44977152 45541375 46248960 46464000 46634368 46851200 48091692 48176000 48315300 49681500 50873856 51110400 51536320 52993600 53146830 54649650 56221440 56689952 57811200 58292960 58564000 60114615 60394125 61843584 63592320 63888000 64122256 64420400 66242000 69951552 70276800 70862440 72264000 72866200 74961920 77081600 77304480 79490400 80152820 80525500 82458112 84789760 85034928 85184000 87439440 87846000 88168102 88578050 91082750 93268736 93702400 96183384 96352000 96630600 99363000 100191025 101747712 102220800 103072640 105987200 106293660 109299300 112442880 113379904 115622400 116585920 117128000 120229230 120788250 123687168 127184640 127776000 128244512 128840800 132252153 132484000 132867075 136624125 139903104 140553600 141724880 144528000 145732400 154608960 158980800 160305640 161051000 164916224 169579520 170069856 170368000 174878880 175692000 176336204 177156100 182165500 186537472 187404800 192366768 192704000 193261200 198726000 200382050 206145280 211974400 212587320 218598600 220420255 221445125 224885760 226759808 231244800 233171840 234256000 240458460 241576500 247374336 254369280 255552000 256489024 257681600 264504306 264968000 265734150 273248250 279806208 281107200 283449760 289056000 291464800 300573075 309217920 317961600 320611280 322102000 340139712 349757760 351384000 352672408 354312200 364331000 373074944 374809600 384733536 385408000 386522400 397452000 400764100 412290560 423948800 425174640 437197200 440840510 442890250 453519616 466343680 468512000 480916920 483153000 484924561 494748672 500955125 508738560 511104000 512978048 515363200 529008612 529936000 531468300 546496500 559612416 562214400 566899520 578112000 582929600 601146150 618435840 635923200 641222560 644204000 661260765 664335375 680279424 699515520 702768000 705344816 708624400 728662000 769467072 773044800 794904000 801528200 824581120 847897600 850349280 874394400 881681020 885780500 907039232 932687360 937024000 961833840 966306000 969849122 1001910250 1025956096 1030726400 1058017224 1059872000 1062936600 1092993000 1102101275 1119224832 1124428800 1133799040 1156224000 1165859200 1202292300 1236871680 1271846400 1282445120 1288408000 1322521530 1328670750 1360558848 1399031040 1405536000 1410689632 1417248800 1454773683 1457324000 1502865375 1538934144 1546089600 1589808000 1603056400 1700698560 1748788800 1763362040 1771561000 1814078464 1865374720 1874048000 1923667680 1932612000 1939698244 2003820500 2051912192 2061452800 2116034448 2119744000 2125873200 2185986000 2204202550 2267598080 2331718400 2404584600 2424622805 2473743360 2543692800 2564890240 2576816000 2645043060 2657341500 2721117696 2798062080 2811072000 2821379264 2834497600 2909547366 2914648000 3005730750 3077868288 3092179200 3179616000 3206112800 3306303825 3401397120 3497577600 3526724080 3543122000 3847335360 3865224000 3879396488 4007641000 4103824384 4122905600 4232068896 4239488000 4251746400 4371972000 4408405100 4535196160 4663436800 4809169200 4849245610 5129780480 5153632000 5290086120 5314683000 5334170171 5442235392 5510506375 5596124160 5622144000 5642758528 5668995200 5819094732 5829296000 6011461500 6155736576 6184358400 6359232000 6412225600 6612607650 6802794240 6995155200 7053448160 7086244000 7273868415 7694670720 7730448000 7758792976 8015282000 8464137792 8503492800 8743944000 8816810200 9070392320 9326873600 9618338400 9698491220 10259560960 10307264000 10580172240 10629366000 10668340342 11021012750 11285517056 11337990400 11638189464 11658592000 12022923000 12123114025 12311473152 12368716800 12718464000 12824451200 13225215300 13605588480 13990310400 14106896320 14172488000 14547736830 15389341440 15460896000 15517585952 16002510513 16030564000 16531519125 16928275584 17006985600 17487888000 17633620400 19236676800 19396982440 20519121920 20614528000 21160344480 21258732000 21336680684 22042025500 22571034112 22675980800 23276378928 23317184000 24045846000 24246228050 25648902400 26450430600 26670850855 27211176960 27980620800 28213792640 28344976000 29095473660 30778682880 30921792000 31035171904 32005021026 32061128000 33063038250 33856551168 34013971200 34975776000 35267240800 36369342075 38473353600 38793964880 42320688960 42517464000 42673361368 44084051000 45142068224 45351961600 46552757856 46634368000 48091692000 48492456100 51297804800 52900861200 53341701710 56427585280 56689952000 58190947320 60615570125 61557365760 61843584000 62070343808 64010042052 64122256000 66126076500 67713102336 68027942400 69951552000 70534481600 72738684150 76946707200 77587929760 80012552565 84641377920 85034928000 85346722736 88168102000 93105515712 96183384000 96984912200 102595609600 105801722400 106683403420 112855170560 113379904000 116381894640 121231140250 124140687616 128020084104 128244512000 132252153000 133354254275 135426204672 136055884800 139903104000 141068963200 145477368300 153893414400 155175859520 160025105130 169282755840 170069856000 170693445472 176336204000 181846710375 186211031424 192366768000 193969824400 211603444800 213366806840 225710341120 226759808000 232763789280 242462280500 248281375232 256040168208 256489024000 264504306000 266708508550 282137926400 290954736600 307786828800 310351719040 320050210260 338565511680 340139712000 341386890944 352672408000 363693420750 372422062848 384733536000 387939648800 400062762825 423206889600 426733613680 465527578560 484924561000 496562750464 512080336416 512978048000 529008612000 533417017100 564275852800 581909473200 620703438080 640100420520 666771271375 677131023360 680279424000 682773781888 705344816000 727386841500 744844125696 769467072000 775879297600 800125525650 846413779200 853467227360 931055157120 969849122000 1024160672832 1058017224000 1066834034200 1128551705600 1163818946400 1241406876160 1280200841040 1333542542750 1365547563776 1410689632000 1454773683000 1489688251392 1538934144000 1551758595200 1600251051300 1692827558400 1706934454720 1862110314240 1939698244000 2000313814125 2048321345664 2116034448000 2133668068400 2327637892800 2482813752320 2560401682080 2667085085500 2731095127552 2821379264000 2909547366000 3103517190400 3200502102600 3385655116800 3413868909440 3724220628480 3879396488000 4000627628250 4096642691328 4232068896000 4267336136800 4655275785600 5120803364160 5334170171000 5462190255104 5642758528000 5819094732000 6207034380800 6401004205200 6827737818880 7448441256960 7758792976000 8001255256500 8193285382656 8464137792000 8534672273600 9310551571200 10241606728320 10668340342000 11638189464000 12414068761600 12802008410400 13655475637760 15517585952000 16002510513000 16386570765312 16928275584000 17069344547200 18621103142400 20483213456640 21336680684000 23276378928000 25604016820800 27310951275520 31035171904000 32005021026000 34138689094400 37242206284800 40966426913280 42673361368000 46552757856000 51208033641600 62070343808000 64010042052000 68277378188800 81932853826560 85346722736000 93105515712000 102416067283200 128020084104000 136554756377600 170693445472000 186211031424000 204832134566400 256040168208000 341386890944000 409664269132800 512080336416000 682773781888000 1024160672832000 2048321345664000
- Sum of all divisors σ(n): 7497322173986112
- Sum of proper divisors (its aliquot sum) s(n): 5449000828322112
- 2048321345664000 is an abundant number, because the sum of its proper divisors (5449000828322112) is greater than itself. Its abundance is 3400679482658112
Bases of 2048321345664000
- Binary: 1110100011011101111111110100011000110110100000000002
- Hexadecimal: 0x746EFFA31B400
- Base-36: K62HU349HC
Squares and roots of 2048321345664000
- 2048321345664000 squared (20483213456640002) is 4195620335102779771600896000000
- 2048321345664000 cubed (20483213456640003) is 8593978690692968477512585866268114944000000000
-
The
square root of 2048321345664000 is 45258384.2582123119 -
The
cube root of 2048321345664000 is 126998.7257950567
Scales and comparisons
How big is 2048321345664000?- 2,048,321,345,664,000 seconds is equal to 65,130,282 years, 47 weeks, 5 days, 5 hours, 20 minutes.
-
To count from 1 to 2,048,321,345,664,000 would take you about one hundred ninety-five million, three hundred ninety thousand, eight hundred forty-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 2048321345664000 cubic inches would be around 10583.2 feet tall.
Recreational maths with 2048321345664000
- 2048321345664000 backwards is 0004665431238402
- 2048321345664000 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 2048321345664000's digits is 48
- More coming soon!
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The information we have on file for 2048321345664000 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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