3996768737233664000
3,996,768,737,233,664,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 3996768737233664000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2304 divisors.
3996768737233664000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 3996768737233664000:
211 × 53 × 72 × 23 × 941 × 1093 × 13469
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 23 × 941 × 1093 × 13469)See below for interesting mathematical facts about the number 3996768737233664000 from the Numbermatics database.
Names of 3996768737233664000
- Cardinal: 3996768737233664000 can be written as Three quintillion, nine hundred ninety-six quadrillion, seven hundred sixty-eight trillion, seven hundred thirty-seven billion, two hundred thirty-three million, six hundred sixty-four thousand.
Scientific notation
- Scientific notation: 3.996768737233664 × 1018
Factors of 3996768737233664000
Divisors of 3996768737233664000
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 23 25 28 32 35 40 46 49 50 56 64 70 80 92 98 100 112 115 125 128 140 160 161 175 184 196 200 224 230 245 250 256 280 320 322 350 368 392 400 448 460 490 500 512 560 575 640 644 700 736 784 800 805 875 896 920 941 980 1000 1024 1093 1120 1127 1150 1225 1280 1288 1400 1472 1568 1600 1610 1750 1792 1840 1882 1960 2000 2048 2186 2240 2254 2300 2450 2560 2576 2800 2875 2944 3136 3200 3220 3500 3584 3680 3764 3920 4000 4025 4372 4480 4508 4600 4705 4900 5120 5152 5465 5600 5635 5750 5888 6125 6272 6400 6440 6587 7000 7168 7360 7528 7651 7840 8000 8050 8744 8960 9016 9200 9410 9800 10240 10304 10930 11200 11270 11500 11776 12250 12544 12800 12880 13174 13469 14000 14336 14720 15056 15302 15680 16000 16100 17488 17920 18032 18400 18820 19600 20125 20608 21643 21860 22400 22540 23000 23525 23552 24500 25088 25139 25600 25760 26348 26938 27325 28000 28175 29440 30112 30604 31360 32000 32200 32935 34976 35840 36064 36800 37640 38255 39200 40250 41216 43286 43720 44800 45080 46000 46109 47050 47104 49000 50176 50278 51200 51520 52696 53557 53876 54650 56000 56350 58880 60224 61208 62720 64000 64400 65870 67345 69952 71680 72128 73600 75280 76510 78400 80500 82432 86572 87440 89600 90160 92000 92218 94100 94283 98000 100352 100556 103040 105392 107114 107752 108215 109300 112000 112700 117625 117760 120448 122416 125440 125695 128000 128800 131740 134690 136625 139904 140875 144256 147200 150560 151501 153020 156800 161000 164675 164864 173144 174880 175973 179200 180320 184000 184436 188200 188566 191275 196000 201112 206080 210784 214228 215504 216430 218600 224000 225400 230545 235250 235520 240896 244832 250880 251390 256000 257600 263480 267785 269380 273250 279808 281750 288512 294400 301120 303002 306040 309787 313600 322000 329350 329728 336725 346288 349760 351946 358400 360640 368000 368872 376400 377132 382550 392000 402224 412160 421568 428456 431008 432860 437200 448000 450800 461090 470500 471415 481792 489664 501760 502780 515200 526960 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16591262359000 16969975956325 16989452655616 17336176179200 17731893244160 17842717576936 18283480042240 18466796364800 18546146416000 18656612288000 18961442696000 19394258235800 19873347872000 20391677230784 20895405762560 21195595904000 21236815819520 21670220224000 21721569224096 22164866555200 22303396971170 22712397568000 22854350052800 23083495456000 24242822794750 24270646650880 24824650541824 25489596538480 26119257203200 26381137664000 26546019774400 27151961530120 27706083194000 28371029190656 28567937566000 29253568067584 29673834265600 30338308313600 31030813177280 31224755759638 31797356595200 31861995673100 32649071504000 33182524718000 33939951912650 33978905311232 35463786488320 35685435153872 36566960084480 36933592729600 37092292832000 37313224576000 37922885392000 38788516471600 39746695744000 39827494591375 40783354461568 42391191808000 42473631639040 43340440448000 43443138448192 44329733110400 44606793942340 45708700105600 46166990912000 48485645589500 49649301083648 50979193076960 52238514406400 53092039548800 54303923060240 55412166388000 55758492427925 57135875132000 59347668531200 60676616627200 62061626354560 62449511519276 63723991346200 65298143008000 66365049436000 67879903825300 70927572976640 71370870307744 73133920168960 74184585664000 74626449152000 75845770784000 77577032943200 78061889399095 79493391488000 79654989182750 81566708923136 84849879781625 84947263278080 86680880896000 86886276896384 88659466220800 89213587884680 91417400211200 92333981824000 96971291179000 99298602167296 101958386153920 104477028812800 106184079097600 108607846120480 110824332776000 111516984855850 114271750264000 121353233254400 124123252709120 124899023038552 127447982692400 130596286016000 132730098872000 135759807650600 141855145953280 142741740615488 146267840337920 148369171328000 151691541568000 155154065886400 156123778798190 158986782976000 159309978365500 163133417846272 169699759563250 169894526556160 173772553792768 177318932441600 178427175769360 182834800422400 184667963648000 193942582358000 198597204334592 203916772307840 212368158195200 217215692240960 221648665552000 223033969711700 228543500528000 248246505418240 249798046077104 254895965384800 261192572032000 265460197744000 271519615301200 278792462139625 285483481230976 296738342656000 303383083136000 310308131772800 312247557596380 318619956731000 326266835692544 339399519126500 347545107585536 354637864883200 356854351538720 365669600844800 387885164716000 390309446995475 407833544615680 424736316390400 434431384481920 443297331104000 446067939423400 457087001056000 496493010836480 499596092154208 509791930769600 522385144064000 530920395488000 543039230602400 557584924279250 570966962461952 606766166272000 620616263545600 624495115192760 637239913462000 652533671385088 678799038253000 695090215171072 709275729766400 713708703077440 731339201689600 775770329432000 780618893990950 815667089231360 849472632780800 868862768963840 886594662208000 892135878846800 914174002112000 992986021672960 999192184308416 1019583861539200 1061840790976000 1086078461204800 1115169848558500 1141933924923904 1241232527091200 1248990230385520 1274479826924000 1357598076506000 1390180430342144 1427417406154880 1551540658864000 1561237787981900 1631334178462720 1737725537927680 1773189324416000 1784271757693600 1828348004224000 1951547234977375 1998384368616832 2039167723078400 2123681581952000 2172156922409600 2230339697117000 2283867849847808 2482465054182400 2497980460771040 2548959653848000 2715196153012000 2854834812309760 3103081317728000 3122475575963800 3262668356925440 3475451075855360 3546378648832000 3568543515387200 3656696008448000 3903094469954750 3996768737233664 4078335446156800 4247363163904000 4344313844819200 4460679394234000 4567735699695616 4964930108364800 4995960921542080 5097919307696000 5430392306024000 5709669624619520 6206162635456000 6244951151927600 6950902151710720 7137087030774400 7806188939909500 7993537474467328 8156670892313600 8688627689638400 8921358788468000 9991921843084160 10195838615392000 10860784612048000 11419339249239040 12412325270912000 12489902303855200 14274174061548800 15612377879819000 15987074948934656 16313341784627200 17377255379276800 17842717576936000 19983843686168320 20391677230784000 21721569224096000 22838678498478080 24824650541824000 24979804607710400 28548348123097600 31224755759638000 31974149897869312 34754510758553600 35685435153872000 39967687372336640 40783354461568000 43443138448192000 49959609215420800 57096696246195200 62449511519276000 71370870307744000 79935374744673280 81566708923136000 86886276896384000 99919218430841600 114193392492390400 124899023038552000 142741740615488000 159870749489346560 173772553792768000 199838436861683200 249798046077104000 285483481230976000 399676873723366400 499596092154208000 570966962461952000 799353747446732800 999192184308416000 1998384368616832000 3996768737233664000
- Sum of all divisors σ(n): 12131106692617785600
- Sum of proper divisors (its aliquot sum) s(n): 8134337955384121600
- 3996768737233664000 is an abundant number, because the sum of its proper divisors (8134337955384121600) is greater than itself. Its abundance is 4137569218150457600
Bases of 3996768737233664000
- Binary: 110111011101110101111111111101101000000011001011111000000000002
- Hexadecimal: 0x37775FFDA032F800
- Base-36: UD5S9UDA5XQ8
Squares and roots of 3996768737233664000
- 3996768737233664000 squared (39967687372336640002) is 15974160338928377109379334864896000000
- 3996768737233664000 cubed (39967687372336640003) is 63845024646186847914349115370756464458223058944000000000
-
The
square root of 3996768737233664000 is 1999192021.1009406689 -
The
cube root of 3996768737233664000 is 1586973.4943253939
Scales and comparisons
How big is 3996768737233664000?- 3,996,768,737,233,664,000 seconds is equal to 127,084,883,026 years, 31 weeks, 4 days, 22 hours, 13 minutes, 20 seconds.
-
To count from 1 to 3,996,768,737,233,664,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 3996768737233664000 cubic inches would be around 132247.8 feet tall.
Recreational maths with 3996768737233664000
- 3996768737233664000 backwards is 0004663327378676993
- The number of decimal digits it has is: 19
- The sum of 3996768737233664000's digits is 89
- More coming soon!
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"Number 3996768737233664000 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
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Numbermatics. (2024). Number 3996768737233664000 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/3996768737233664000/
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The information we have on file for 3996768737233664000 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!
Keywords: Divisors of 3996768737233664000, math, Factors of 3996768737233664000, curriculum, school, college, exams, university, Prime factorization of 3996768737233664000, STEM, science, technology, engineering, physics, economics, calculator, three quintillion, nine hundred ninety-six quadrillion, seven hundred sixty-eight trillion, seven hundred thirty-seven billion, two hundred thirty-three million, six hundred sixty-four thousand.