3998064941258572800
3,998,064,941,258,572,800 is an even composite number composed of six prime numbers multiplied together.
3998064941258572800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred ninety-two divisors.
Prime factorization of 3998064941258572800:
210 × 32 × 52 × 7 × 11 × 225359901541
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 11 × 225359901541)See below for interesting mathematical facts about the number 3998064941258572800 from the Numbermatics database.
Names of 3998064941258572800
- Cardinal: 3998064941258572800 can be written as Three quintillion, nine hundred ninety-eight quadrillion, sixty-four trillion, nine hundred forty-one billion, two hundred fifty-eight million, five hundred seventy-two thousand, eight hundred.
Scientific notation
- Scientific notation: 3.9980649412585728 × 1018
Factors of 3998064941258572800
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 17
- Sum of prime factors: 225359901569
Divisors of 3998064941258572800
- Number of divisors d(n): 792
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 25 28 30 32 33 35 36 40 42 44 45 48 50 55 56 60 63 64 66 70 72 75 77 80 84 88 90 96 99 100 105 110 112 120 126 128 132 140 144 150 154 160 165 168 175 176 180 192 198 200 210 220 224 225 231 240 252 256 264 275 280 288 300 308 315 320 330 336 350 352 360 384 385 396 400 420 440 448 450 462 480 495 504 512 525 528 550 560 576 600 616 630 640 660 672 693 700 704 720 768 770 792 800 825 840 880 896 900 924 960 990 1008 1024 1050 1056 1100 1120 1152 1155 1200 1232 1260 1280 1320 1344 1386 1400 1408 1440 1536 1540 1575 1584 1600 1650 1680 1760 1792 1800 1848 1920 1925 1980 2016 2100 2112 2200 2240 2304 2310 2400 2464 2475 2520 2560 2640 2688 2772 2800 2816 2880 3072 3080 3150 3168 3200 3300 3360 3465 3520 3584 3600 3696 3840 3850 3960 4032 4200 4224 4400 4480 4608 4620 4800 4928 4950 5040 5120 5280 5376 5544 5600 5632 5760 5775 6160 6300 6336 6400 6600 6720 6930 7040 7168 7200 7392 7680 7700 7920 8064 8400 8448 8800 8960 9216 9240 9600 9856 9900 10080 10560 10752 11088 11200 11264 11520 11550 12320 12600 12672 12800 13200 13440 13860 14080 14400 14784 15360 15400 15840 16128 16800 16896 17325 17600 17920 18480 19200 19712 19800 20160 21120 21504 22176 22400 23040 23100 24640 25200 25344 25600 26400 26880 27720 28160 28800 29568 30800 31680 32256 33600 33792 34650 35200 35840 36960 38400 39424 39600 40320 42240 44352 44800 46080 46200 49280 50400 50688 52800 53760 55440 56320 57600 59136 61600 63360 64512 67200 69300 70400 73920 76800 78848 79200 80640 84480 88704 89600 92400 98560 100800 101376 105600 107520 110880 115200 118272 123200 126720 134400 138600 140800 147840 158400 161280 168960 177408 179200 184800 197120 201600 211200 221760 230400 236544 246400 253440 268800 277200 281600 295680 316800 322560 354816 369600 394240 403200 422400 443520 492800 506880 537600 554400 591360 633600 709632 739200 806400 844800 887040 985600 1108800 1182720 1267200 1478400 1612800 1774080 1971200 2217600 2534400 2956800 3548160 4435200 5913600 8870400 17740800 225359901541 450719803082 676079704623 901439606164 1126799507705 1352159409246 1577519310787 1802879212328 2028239113869 2253599015410 2478958916951 2704318818492 3155038621574 3380398523115 3605758424656 4056478227738 4507198030820 4732557932361 4957917833902 5408637636984 5633997538525 6310077243148 6760797046230 7211516849312 7436876750853 7887596553935 8112956455476 9014396061640 9465115864722 9915835667804 10141195569345 10817275273968 11267995077050 12394794584755 12620154486296 13521594092460 14197673797083 14423033698624 14873753501706 15775193107870 16225912910952 16901992615575 17352712418657 18028792123280 18930231729444 19831671335608 20282391138690 21634550547936 22310630252559 22535990154100 23662789661805 24789589169510 25240308972592 27043188184920 28395347594166 28846067397248 29747507003412 31550386215740 32451825821904 33803985231150 34705424837314 36057584246560 37184383754265 37860463458888 39437982769675 39663342671216 40564782277380 43269101095872 44621260505118 45071980308200 47325579323610 49579178339020 50480617945184 50705977846725 52058137255971 54086376369840 56790695188332 57692134794496 59495014006824 61973972923775 63100772431480 64903651643808 67607970462300 69410849674628 70988368985415 72115168493120 74368767508530 75720926917776 78875965539350 79326685342432 81129564554760 86538202191744 86763562093285 89242521010236 90143960616400 94651158647220 99158356678040 100961235890368 101411955693450 104116274511942 108172752739680 111553151262795 113581390376664 115384269588992 118313948309025 118990028013648 123947945847550 126201544862960 129807303287616 135215940924600 138821699349256 141976737970830 144230336986240 148737535017060 151441853835552 156174411767913 157751931078700 158653370684864 162259129109520 173076404383488 173527124186570 178485042020472 180287921232800 185921918771325 189302317294440 198316713356080 201922471780736 202823911386900 208232549023884 216345505479360 223106302525590 227162780753328 230768539177984 236627896618050 237980056027296 247895891695100 252403089725920 259614606575232 260290686279855 270431881849200 277643398698512 283953475941660 288460673972480 297475070034120 302883707671104 312348823535826 315503862157400 317306741369728 324518258219040 346152808766976 347054248373140 354941844927075 356970084040944 360575842465600 371843837542650 378604634588880 396633426712160 403844943561472 405647822773800 416465098047768 432691010958720 433817810466425 446212605051180 454325561506656 473255793236100 475960112054592 495791783390200 504806179451840 519229213150464 520581372559710 540863763698400 555286797397024 557765756313975 567906951883320 576921347944960 594950140068240 605767415342208 624697647071652 631007724314800 634613482739456 649036516438080 692305617533952 694108496746280 709883689854150 713940168081888 721151684931200 743687675085300 757209269177760 780872058839565 793266853424320 807689887122944 811295645547600 832930196095536 865382021917440 867635620932850 892425210102360 908651123013312 946511586472200 951920224109184 991583566780400 1009612358903680 1038458426300928 1041162745119420 1081727527396800 1110573594794048 1115531512627950 1135813903766640 1153842695889920 1189900280136480 1211534830684416 1249395294143304 1262015448629600 1269226965478912 1298073032876160 1301453431399275 1388216993492560 1419767379708300 1427880336163776 1442303369862400 1487375350170600 1514418538355520 1561744117679130 1586533706848640 1615379774245888 1622591291095200 1665860392191072 1730764043834880 1735271241865700 1784850420204720 1817302246026624 1893023172944400 1903840448218368 1983167133560800 2019224717807360 2076916852601856 2082325490238840 2163455054793600 2221147189588096 2231063025255900 2271627807533280 2379800560272960 2423069661368832 2498790588286608 2524030897259200 2538453930957824 2596146065752320 2602906862798550 2776433986985120 2839534759416600 2855760672327552 2884606739724800 2974750700341200 3028837076711040 3123488235358260 3173067413697280 3245182582190400 3331720784382144 3461528087669760 3470542483731400 3569700840409440 3634604492053248 3786046345888800 3807680896436736 3904360294197825 3966334267121600 4038449435614720 4164650980477680 4326910109587200 4442294379176192 4462126050511800 4543255615066560 4759601120545920 4846139322737664 4997581176573216 5048061794518400 5192292131504640 5205813725597100 5552867973970240 5679069518833200 5711521344655104 5769213479449600 5949501400682400 6057674153422080 6246976470716520 6346134827394560 6490365164380800 6663441568764288 6941084967462800 7139401680818880 7269208984106496 7572092691777600 7615361792873472 7808720588395650 7932668534243200 8076898871229440 8329301960955360 8653820219174400 8884588758352384 8924252101023600 9086511230133120 9519202241091840 9995162353146432 10096123589036800 10384584263009280 10411627451194200 11105735947940480 11358139037666400 11423042689310208 11899002801364800 12115348306844160 12493952941433040 12692269654789120 12980730328761600 13326883137528576 13882169934925600 14278803361637760 14538417968212992 15144185383555200 15617441176791300 15865337068486400 16658603921910720 17307640438348800 17769177516704768 17848504202047200 18173022460266240 19038404482183680 19990324706292864 20192247178073600 20823254902388400 22211471895880960 22716278075332800 22846085378620416 23798005602729600 24230696613688320 24987905882866080 25961460657523200 26653766275057152 27764339869851200 28557606723275520 30288370767110400 31234882353582600 31730674136972800 33317207843821440 35697008404094400 36346044920532480 38076808964367360 39980649412585728 40384494356147200 41646509804776800 44422943791761920 45432556150665600 47596011205459200 49975811765732160 51922921315046400 53307532550114304 55528679739702400 57115213446551040 60576741534220800 62469764707165200 63461348273945600 66634415687642880 71394016808188800 72692089841064960 79961298825171456 83293019609553600 88845887583523840 90865112301331200 95192022410918400 99951623531464320 111057359479404800 114230426893102080 121153483068441600 124939529414330400 133268831375285760 142788033616377600 159922597650342912 166586039219107200 181730224602662400 190384044821836800 199903247062928640 222114718958809600 249879058828660800 266537662750571520 285576067232755200 333172078438214400 363460449205324800 399806494125857280 444229437917619200 499758117657321600 571152134465510400 666344156876428800 799612988251714560 999516235314643200 1332688313752857600 1999032470629286400 3998064941258572800
- Sum of all divisors σ(n): 17847227763644066112
- Sum of proper divisors (its aliquot sum) s(n): 13849162822385493312
- 3998064941258572800 is an abundant number, because the sum of its proper divisors (13849162822385493312) is greater than itself. Its abundance is 9851097881126920512
Bases of 3998064941258572800
- Binary: 110111011110111111101011100001101001001010100100000100000000002
- Hexadecimal: 0x377BFAE1A4A90400
- Base-36: UDIJQM9ZLKW0
Squares and roots of 3998064941258572800
- 3998064941258572800 squared (39980649412585728002) is 15984523274520915173819269492899840000
- 3998064941258572800 cubed (39980649412585728003) is 63907162106593752467439784124850633935243131748352000000
-
The
square root of 3998064941258572800 is 1999516176.7934193935 -
The
cube root of 3998064941258572800 is 1587145.0344895417
Scales and comparisons
How big is 3998064941258572800?- 3,998,064,941,258,572,800 seconds is equal to 127,126,098,305 years, 9 weeks, 2 days, 8 hours.
-
To count from 1 to 3,998,064,941,258,572,800 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 3998064941258572800 cubic inches would be around 132262.1 feet tall.
Recreational maths with 3998064941258572800
- 3998064941258572800 backwards is 0082758521494608993
- 3998064941258572800 is a
Harshad number . - The number of decimal digits it has is: 19
- The sum of 3998064941258572800's digits is 90
- More coming soon!
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The information we have on file for 3998064941258572800 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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