328642420608000
328,642,420,608,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 328642420608000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2816 divisors.
328642420608000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, eight hundred sixteen divisors.
Prime factorization of 328642420608000:
210 × 33 × 53 × 23 × 37 × 131 × 853
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 23 × 37 × 131 × 853)See below for interesting mathematical facts about the number 328642420608000 from the Numbermatics database.
Names of 328642420608000
- Cardinal: 328642420608000 can be written as Three hundred twenty-eight trillion, six hundred forty-two billion, four hundred twenty million, six hundred eight thousand.
Scientific notation
- Scientific notation: 3.28642420608 × 1014
Factors of 328642420608000
Divisors of 328642420608000
- Number of divisors d(n): 2816
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 25 27 30 32 36 37 40 45 46 48 50 54 60 64 69 72 74 75 80 90 92 96 100 108 111 115 120 125 128 131 135 138 144 148 150 160 180 184 185 192 200 207 216 222 225 230 240 250 256 262 270 276 288 296 300 320 333 345 360 368 370 375 384 393 400 414 432 444 450 460 480 500 512 524 540 552 555 575 576 592 600 621 640 655 666 675 690 720 736 740 750 768 786 800 828 851 853 864 888 900 920 925 960 999 1000 1024 1035 1048 1080 1104 1110 1125 1150 1152 1179 1184 1200 1242 1280 1310 1332 1350 1380 1440 1472 1480 1500 1536 1572 1600 1656 1665 1702 1706 1725 1728 1776 1800 1840 1850 1920 1965 1998 2000 2070 2096 2160 2208 2220 2250 2300 2304 2358 2368 2400 2484 2553 2559 2560 2620 2664 2700 2760 2775 2875 2880 2944 2960 3000 3013 3072 3105 3144 3200 3275 3312 3330 3375 3404 3412 3450 3456 3537 3552 3600 3680 3700 3840 3930 3996 4000 4140 4192 4255 4265 4320 4416 4440 4500 4600 4608 4625 4716 4736 4800 4847 4968 4995 5106 5118 5120 5175 5240 5328 5400 5520 5550 5750 5760 5888 5895 5920 6000 6026 6210 6288 6400 6550 6624 6660 6750 6808 6824 6900 6912 7074 7104 7200 7360 7400 7659 7677 7680 7860 7992 8000 8280 8325 8384 8510 8530 8625 8640 8832 8880 9000 9039 9200 9216 9250 9432 9472 9600 9694 9825 9936 9990 10212 10236 10350 10480 10656 10800 11040 11100 11500 11520 11776 11790 11840 12000 12052 12420 12576 12765 12795 12800 13100 13248 13320 13500 13616 13648 13800 13824 13875 14148 14208 14400 14541 14720 14800 15065 15318 15354 15360 15525 15720 15984 16000 16375 16560 16650 16768 17020 17060 17250 17280 17664 17685 17760 18000 18078 18400 18500 18864 18944 19200 19388 19619 19650 19872 19980 20424 20472 20700 20960 21275 21312 21325 21600 22080 22200 22977 23000 23031 23040 23552 23580 23680 24000 24104 24235 24840 24975 25152 25530 25590 25600 25875 26200 26496 26640 27000 27117 27232 27296 27600 27648 27750 28296 28416 28800 29082 29440 29475 29600 30130 30636 30708 31050 31440 31561 31968 32000 32750 33120 33300 33536 34040 34120 34500 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13634352000 13693434192 13878480600 13937337600 13953907125 14263993950 14269568000 14288800896 14303104000 14803712640 14884167600 15214926880 15411133440 15420534000 15447352320 15679504800 15876445440 16053264000 16090992000 16448569600 16537964000 16724805120 16751232000 16950816000 17116792740 17348100750 17421672000 17764455168 17861001120 18179136000 18257912256 18504640800 18583116800 18605209500 19018658600 19051734528 19263916800 19309190400 19599381000 19738283520 19845556800 20069766144 20540151288 20560712000 20906006400 21168593920 21395990925 21404352000 21454656000 21814963200 22205568960 22326251400 22601088000 22822390320 23130801000 23228896000 23685940224 23773323250 23814668160 24079896000 24136488000 24343883008 24672854400 24806946000 25087207680 25675189110 25685222400 25745587200 26132508000 26460742400 27268704000 27386868384 27756961200 27874675200 27907814250 28527987900 28577601792 29607425280 29768335200 30429853760 30841068000 31359009600 31752890880 32106528000 32181984000 32897139200 33075928000 33449610240 33901632000 34233585480 34696201500 34843344000 35528910336 35659984875 35722002240 36358272000 36515824512 37009281600 37210419000 38037317200 38103469056 38527833600 38618380800 39198762000 39476567040 39691113600 41080302576 41121424000 41812012800 42791981850 42808704000 42909312000 44411137920 44652502800 45644780640 46261602000 46457792000 47546646500 47629336320 48159792000 48272976000 48687766016 49345708800 49613892000 50174415360 51350378220 52265016000 52921484800 54537408000 54773736768 55513922400 55749350400 55815628500 57055975800 57155203584 59214850560 59536670400 60859707520 61682136000 62718019200 63505781760 64187972775 64213056000 64363968000 65794278400 66151856000 67803264000 68467170960 69392403000 69686688000 71057820672 71319969750 71444004480 73031649024 74018563200 74420838000 76074634400 77055667200 77236761600 78397524000 79382227200 82160605152 82242848000 83624025600 85583963700 88822275840 89305005600 91289561280 92523204000 92915584000 95093293000 95258672640 96319584000 96545952000 97375532032 98691417600 99227784000 100348830720 102700756440 104530032000 105842969600 106979954625 109074816000 109547473536 111027844800 111631257000 114111951600 114310407168 118429701120 119073340800 121719415040 123364272000 125436038400 128375945550 128426112000 128727936000 132303712000 136934341920 138784806000 139373376000 142639939500 142888008960 146063298048 148037126400 148841676000 152149268800 156795048000 158764454400 164321210304 164485696000 167248051200 171167927400 177644551680 178610011200 182579122560 185046408000 190186586000 190517345280 192639168000 193091904000 197382835200 198455568000 205401512880 209060064000 213959909250 219094947072 222055689600 223262514000 228223903200 238146681600 243438830080 246728544000 250872076800 256751891100 264607424000 273868683840 277569612000 278746752000 285279879000 285776017920 292126596096 296074252800 297683352000 304298537600 313590096000 317528908800 320939863875 328642420608 328971392000 342335854800 355289103360 357220022400 365158245120 370092816000 380373172000 385278336000 386183808000 396911136000 410803025760 418120128000 427919818500 438189894144 444111379200 446525028000 456447806400 476293363200 486877660160 493457088000 501744153600 513503782200 529214848000 547737367680 555139224000 570559758000 571552035840 592148505600 595366704000 608597075200 627180192000 641879727750 657284841216 684671709600 714440044800 730316490240 740185632000 760746344000 793822272000 821606051520 836240256000 855839637000 876379788288 888222758400 893050056000 912895612800 952586726400 986914176000 1027007564400 1095474735360 1110278448000 1141119516000 1190733408000 1217194150400 1254360384000 1283759455500 1314569682432 1369343419200 1428880089600 1460632980480 1480371264000 1521492688000 1587644544000 1643212103040 1711679274000 1776445516800 1786100112000 1825791225600 2054015128800 2190949470720 2220556896000 2282239032000 2381466816000 2434388300800 2508720768000 2567518911000 2629139364864 2738686838400 2857760179200 2960742528000 3042985376000 3286424206080 3423358548000 3572200224000 3651582451200 4108030257600 4381898941440 4441113792000 4564478064000 4762933632000 5135037822000 5477373676800 6085970752000 6572848412160 6846717096000 7144400448000 7303164902400 8216060515200 8882227584000 9128956128000 10270075644000 10954747353600 12171941504000 13145696824320 13693434192000 14288800896000 16432121030400 18257912256000 20540151288000 21909494707200 27386868384000 32864242060800 36515824512000 41080302576000 54773736768000 65728484121600 82160605152000 109547473536000 164321210304000 328642420608000
- Sum of all divisors σ(n): 1313194552750080
- Sum of proper divisors (its aliquot sum) s(n): 984552132142080
- 328642420608000 is an abundant number, because the sum of its proper divisors (984552132142080) is greater than itself. Its abundance is 655909711534080
Bases of 328642420608000
- Binary: 10010101011100110000001101011110100001100000000002
- Hexadecimal: 0x12AE606BD0C00
- Base-36: 38HS8RXMO0
Squares and roots of 328642420608000
- 328642420608000 squared (3286424206080002) is 108005840623085583089664000000
- 328642420608000 cubed (3286424206080003) is 35495300902172704992534288465395712000000000
-
The
square root of 328642420608000 is 18128497.4724327333 -
The
cube root of 328642420608000 is 69009.3399530631
Scales and comparisons
How big is 328642420608000?- 328,642,420,608,000 seconds is equal to 10,449,812 years, 21 weeks, 5 days.
-
To count from 1 to 328,642,420,608,000 would take you about twenty-six million, one hundred twenty-four thousand, five hundred thirty-one 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 328642420608000 cubic inches would be around 5750.8 feet tall.
Recreational maths with 328642420608000
- 328642420608000 backwards is 000806024246823
- 328642420608000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 328642420608000's digits is 45
- More coming soon!
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Cite this page
MLA style:
"Number 328642420608000 - Facts about the integer". Numbermatics.com. 2024. Web. 6 May 2024.
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Numbermatics. (2024). Number 328642420608000 - Facts about the integer. Retrieved 6 May 2024, from https://numbermatics.com/n/328642420608000/
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The information we have on file for 328642420608000 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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